{"id":1630,"date":"2022-01-19T02:02:12","date_gmt":"2022-01-19T02:02:12","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=1630"},"modified":"2022-02-08T20:28:09","modified_gmt":"2022-02-08T20:28:09","slug":"10a","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/10a\/","title":{"raw":"10A","rendered":"10A"},"content":{"raw":"<div align=\"center\">\r\n\r\n<img class=\"alignnone wp-image-1631\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015637\/Picture812-300x30.png\" alt=\"A number line showing numbers from 21 to 49 in increments of two. There is a red dot at 30 with arrows extending either direction to 25 and 35, respectively.\" width=\"960\" height=\"96\" \/> <img class=\"alignnone wp-image-1632\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015642\/Picture821-300x35.png\" alt=\"A number line showing numbers from 41 to 67 in increments of two.\" width=\"987\" height=\"116\" \/> <img class=\"alignnone wp-image-1633\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015647\/Picture831-300x34.png\" alt=\"A number line showing numbers from 61 to 87 in increments of two.\" width=\"1085\" height=\"123\" \/> <img class=\"alignnone wp-image-1634\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015651\/Picture841-300x30.png\" alt=\"A number line showing numbers from 15 to 16.6 in increments of 0.1.\" width=\"960\" height=\"96\" \/> <img class=\"alignnone wp-image-1635\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015656\/Picture851-300x28.png\" alt=\"A number line showing numbers from .25 to 0.53 in increments of 0.02.\" width=\"954\" height=\"89\" \/> <img class=\"alignnone wp-image-1636\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015702\/Picture86-300x167.jpg\" alt=\"A woman working on a laptop in a dark room. There is a baby in a stroller next to her.\" width=\"1020\" height=\"568\" \/> <img class=\"alignnone wp-image-1686\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19203509\/Picture87-copy-300x35.jpg\" alt=\"A number line showing numbers from 0 to 0.28 in increments of 0.02.\" width=\"988\" height=\"112\" \/> <img class=\"alignnone wp-image-1638\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015713\/Picture881-300x36.png\" alt=\"A number line showing numbers from 0.65 to 0.79 in increments of 0.01. There is a red dot at 0.72 with arrows extending either direction to 0.7 and 0.74, respectively.\" width=\"950\" height=\"114\" \/> <img class=\"alignnone wp-image-1639\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015718\/Picture891-300x146.png\" alt=\"Two tables, the first labeled \u201cDescriptive Statistics.\u201d It has a column for \u201cSample Size,\u201d another for \u201cSuccesses,\u201d and a third for \u201cSample Proportion.&quot; Under Sample Size, it reads 1,361. Under Successes, it reads 637. Under Sample Proportion, it reads 0.4680. The second table is titled \u201cEstimate of Population Proportion.\u201d It has a column for \u201cPoint Estimate,\u201d another for \u201cStandard Error,\u201d another for \u201cz-score,\u201d and one more for \u201cMargin of Error.\u201d Under Point Estimate, it reads 0.4680. Under Standard Error, it reads 0.0135. Under z-score, it reads 1.9600. Under Margin or Error, it reads plus or minus 0.0265.\" width=\"1091\" height=\"531\" \/> <img class=\"alignnone wp-image-1640\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015723\/Picture901-300x100.png\" alt=\"A visualization of a confidence interval. There is a horizontal line with arrows at either end. In the middle, there is a dot labeled \u201cpoint estimate.\u201d One either side of it, there is a portion of the line labeled \u201cmargin of error (E).\u201d The combination of both margins of error is labeled \u201cConfidence interval: has width 2E.\u201d\" width=\"951\" height=\"317\" \/> <img class=\"alignnone wp-image-1641\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015727\/Picture911-300x103.png\" alt=\"A bell curve with a peak at 0. There are vertical dotted lines at -2 and 2. The region under the curve within the dotted lines is shaded a darker blue and labeled 95.45%. The regions outside the dotted lines are each labeled \u201c2.28%.\u201d\" width=\"955\" height=\"328\" \/> <img class=\"alignnone wp-image-1642\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015733\/Picture921-300x116.png\" alt=\"An online graphing tool. At the top, \u201cThe Normal Distribution\u201d is selected and \u201cExplore,\u201d \u201cFind Probability,\u201d and \u201cFind Percentile\/Quartile\u201d are not. On the left side, there is a selection menu. Under \u201cMean mu,\u201d 0 has been selected from the dropdown. Under \u201cStandard Deviation sigma,\u201d 1 has been selected from the dropdown. Under \u201cType of Percentile,\u201d \u201ctwo-tailed\u201d has been selected from the dropdown. Under \u201cCentral probability (in %),\u201d 95 has been selected from the dropdown menu. There is a button to download the graph beneath it. To the right is a curve. It is labeled \u201cNormal Distribution with mu = 0 and sigma = 1.\u201d Beneath it, it reads \u201cP(-1.96 &lt; X &lt; 1.96) = 95%.\u201d The bell curve has a peak centered on 0. There are two vertical dotted lines at -1.96 and 1.96, respectively. The region under the curve between the two vertical lines is shaded a darker blue and labeled 95%. There is also a table underneath labeled \u201cz-Score (Two Tailed)\u201d with columns mu, sigma, Centrol Percent, and Percentile. Under mu, the value is 0, under sigma the value is 1, under central Percent, the value is 95%, and under Percentiles, the value is plus or minus 1.96.\" width=\"1089\" height=\"421\" \/> <img class=\"alignnone wp-image-1643\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015737\/Picture931-300x23.png\" alt=\"A number line showing numbers from 0 to 1 in increments of 0.1. There is a red dot labeled \u201cp\u201d at approximately 0.27 with bounds extending from approximately 0.21 to 0.32.\" width=\"952\" height=\"73\" \/> <img class=\"alignnone wp-image-1644\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015741\/Picture94-300x25.png\" alt=\"A number line showing numbers from 0 to 1 in increments of 0.1. There is a red dot labeled \u201cp\u201d at approximately 0.22 with bounds extending from approximately 0.17 to 0.28.\" width=\"1070\" height=\"89\" \/> <img class=\"alignnone wp-image-1645\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015746\/Picture951-300x24.png\" alt=\"A number line showing numbers from 0 to 1 in increments of 0.1. There is a red dot labeled \u201cp\u201d at approximately 0.36 with bounds extending from approximately 0.31 to 0.43.\" width=\"1050\" height=\"84\" \/> <img class=\"alignnone wp-image-1646\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015752\/Picture96-300x24.png\" alt=\"A number line showing numbers from 0 to 1 in increments of 0.1. There is a red dot labeled \u201cp\u201d at approximately 0.22 with bounds extending from approximately 0.15 to 0.29.\" width=\"1088\" height=\"87\" \/> <img class=\"alignnone wp-image-1647\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015757\/Picture971-300x24.png\" alt=\"A number line showing numbers from 0 to 1 in increments of 0.1. There is a red dot labeled \u201cp\u201d at approximately 0.6 with bounds extending from approximately 0.5 to 0.7\" width=\"1075\" height=\"86\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Co<\/strong><strong>nfidence level, C<\/strong><\/td>\r\n<td><strong>\u00a0<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>90%<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>95%<\/td>\r\n<td>1.96<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>99%<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div style=\"text-align: left;\" align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Skill or Concept: I can . . .<\/strong><\/td>\r\n<td><strong>Questions to check your understanding<\/strong><\/td>\r\n<td><strong>Rating\r\nfrom 1 to 5<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Calculate a point estimate for proportions.<\/td>\r\n<td>1\u20133<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Understand the connection between sampling distributions, the CLT, and confidence intervals.<\/td>\r\n<td>4\u20137<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Calculate the standard error of a sample proportion.<\/td>\r\n<td>6<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Determine the z critical value for a given confidence level.<\/td>\r\n<td>7<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Calculate the margin of error for a confidence interval, given the critical value and the standard error.<\/td>\r\n<td>8<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Construct a confidence interval and label it on a number line.<\/td>\r\n<td>9, 10<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nGlossary\r\n<dl id=\"fs-id1170572229168\" class=\"definition\">\r\n \t<dt>point estimate<\/dt>\r\n \t<dd id=\"fs-id1170572229174\">a single value based on representative sample data that is a plausible estimate of the population parameter.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572229190\" class=\"definition\">\r\n \t<dt>standard error<\/dt>\r\n \t<dd id=\"fs-id1170572229195\">the estimated standard deviation of sample proportions.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482608\" class=\"definition\">\r\n \t<dt>confidence interval for a population proportion<\/dt>\r\n \t<dd id=\"fs-id1170572482614\">a reasonable range of values where we expect the population proportion to fall within, with a chosen degree of confidence.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482619\" class=\"definition\">\r\n \t<dt>margin of error(E)<\/dt>\r\n \t<dd id=\"fs-id1170572482624\">the width of the confidence interval<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482683\" class=\"definition\">\r\n \t<dt>confidence level, \ud835\udc6a<\/dt>\r\n \t<dd id=\"fs-id1170572482689\">how much confidence we have in the method used to construct the interval.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482683\" class=\"definition\">\r\n \t<dt>z critical value (\ud835\udc9b\u2217)<\/dt>\r\n \t<dd id=\"fs-id1170572482689\">the point on the standard normal distribution such that the proportion of area under the curve between \u2212\ud835\udc67\u2217and +\ud835\udc67\u2217is \ud835\udc36, the confidence level.<\/dd>\r\n<\/dl>\r\n<\/div>\r\n<\/div>","rendered":"<div style=\"margin: auto;\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1631\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015637\/Picture812-300x30.png\" alt=\"A number line showing numbers from 21 to 49 in increments of two. There is a red dot at 30 with arrows extending either direction to 25 and 35, respectively.\" width=\"960\" height=\"96\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1632\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015642\/Picture821-300x35.png\" alt=\"A number line showing numbers from 41 to 67 in increments of two.\" width=\"987\" height=\"116\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1633\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015647\/Picture831-300x34.png\" alt=\"A number line showing numbers from 61 to 87 in increments of two.\" width=\"1085\" height=\"123\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1634\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015651\/Picture841-300x30.png\" alt=\"A number line showing numbers from 15 to 16.6 in increments of 0.1.\" width=\"960\" height=\"96\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1635\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015656\/Picture851-300x28.png\" alt=\"A number line showing numbers from .25 to 0.53 in increments of 0.02.\" width=\"954\" height=\"89\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1636\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015702\/Picture86-300x167.jpg\" alt=\"A woman working on a laptop in a dark room. There is a baby in a stroller next to her.\" width=\"1020\" height=\"568\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1686\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19203509\/Picture87-copy-300x35.jpg\" alt=\"A number line showing numbers from 0 to 0.28 in increments of 0.02.\" width=\"988\" height=\"112\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1638\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015713\/Picture881-300x36.png\" alt=\"A number line showing numbers from 0.65 to 0.79 in increments of 0.01. There is a red dot at 0.72 with arrows extending either direction to 0.7 and 0.74, respectively.\" width=\"950\" height=\"114\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1639\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015718\/Picture891-300x146.png\" alt=\"Two tables, the first labeled \u201cDescriptive Statistics.\u201d It has a column for \u201cSample Size,\u201d another for \u201cSuccesses,\u201d and a third for \u201cSample Proportion.&quot; Under Sample Size, it reads 1,361. Under Successes, it reads 637. Under Sample Proportion, it reads 0.4680. The second table is titled \u201cEstimate of Population Proportion.\u201d It has a column for \u201cPoint Estimate,\u201d another for \u201cStandard Error,\u201d another for \u201cz-score,\u201d and one more for \u201cMargin of Error.\u201d Under Point Estimate, it reads 0.4680. Under Standard Error, it reads 0.0135. Under z-score, it reads 1.9600. Under Margin or Error, it reads plus or minus 0.0265.\" width=\"1091\" height=\"531\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1640\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015723\/Picture901-300x100.png\" alt=\"A visualization of a confidence interval. There is a horizontal line with arrows at either end. In the middle, there is a dot labeled \u201cpoint estimate.\u201d One either side of it, there is a portion of the line labeled \u201cmargin of error (E).\u201d The combination of both margins of error is labeled \u201cConfidence interval: has width 2E.\u201d\" width=\"951\" height=\"317\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1641\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015727\/Picture911-300x103.png\" alt=\"A bell curve with a peak at 0. There are vertical dotted lines at -2 and 2. The region under the curve within the dotted lines is shaded a darker blue and labeled 95.45%. The regions outside the dotted lines are each labeled \u201c2.28%.\u201d\" width=\"955\" height=\"328\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1642\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015733\/Picture921-300x116.png\" alt=\"An online graphing tool. At the top, \u201cThe Normal Distribution\u201d is selected and \u201cExplore,\u201d \u201cFind Probability,\u201d and \u201cFind Percentile\/Quartile\u201d are not. On the left side, there is a selection menu. Under \u201cMean mu,\u201d 0 has been selected from the dropdown. Under \u201cStandard Deviation sigma,\u201d 1 has been selected from the dropdown. Under \u201cType of Percentile,\u201d \u201ctwo-tailed\u201d has been selected from the dropdown. Under \u201cCentral probability (in %),\u201d 95 has been selected from the dropdown menu. There is a button to download the graph beneath it. To the right is a curve. It is labeled \u201cNormal Distribution with mu = 0 and sigma = 1.\u201d Beneath it, it reads \u201cP(-1.96 &lt; X &lt; 1.96) = 95%.\u201d The bell curve has a peak centered on 0. There are two vertical dotted lines at -1.96 and 1.96, respectively. The region under the curve between the two vertical lines is shaded a darker blue and labeled 95%. There is also a table underneath labeled \u201cz-Score (Two Tailed)\u201d with columns mu, sigma, Centrol Percent, and Percentile. Under mu, the value is 0, under sigma the value is 1, under central Percent, the value is 95%, and under Percentiles, the value is plus or minus 1.96.\" width=\"1089\" height=\"421\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1643\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015737\/Picture931-300x23.png\" alt=\"A number line showing numbers from 0 to 1 in increments of 0.1. There is a red dot labeled \u201cp\u201d at approximately 0.27 with bounds extending from approximately 0.21 to 0.32.\" width=\"952\" height=\"73\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1644\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015741\/Picture94-300x25.png\" alt=\"A number line showing numbers from 0 to 1 in increments of 0.1. There is a red dot labeled \u201cp\u201d at approximately 0.22 with bounds extending from approximately 0.17 to 0.28.\" width=\"1070\" height=\"89\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1645\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015746\/Picture951-300x24.png\" alt=\"A number line showing numbers from 0 to 1 in increments of 0.1. There is a red dot labeled \u201cp\u201d at approximately 0.36 with bounds extending from approximately 0.31 to 0.43.\" width=\"1050\" height=\"84\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1646\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015752\/Picture96-300x24.png\" alt=\"A number line showing numbers from 0 to 1 in increments of 0.1. There is a red dot labeled \u201cp\u201d at approximately 0.22 with bounds extending from approximately 0.15 to 0.29.\" width=\"1088\" height=\"87\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1647\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19015757\/Picture971-300x24.png\" alt=\"A number line showing numbers from 0 to 1 in increments of 0.1. There is a red dot labeled \u201cp\u201d at approximately 0.6 with bounds extending from approximately 0.5 to 0.7\" width=\"1075\" height=\"86\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>Co<\/strong><strong>nfidence level, C<\/strong><\/td>\n<td><strong>\u00a0<\/strong><\/td>\n<\/tr>\n<tr>\n<td>90%<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>95%<\/td>\n<td>1.96<\/td>\n<\/tr>\n<tr>\n<td>99%<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"text-align: left; margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Skill or Concept: I can . . .<\/strong><\/td>\n<td><strong>Questions to check your understanding<\/strong><\/td>\n<td><strong>Rating<br \/>\nfrom 1 to 5<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Calculate a point estimate for proportions.<\/td>\n<td>1\u20133<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Understand the connection between sampling distributions, the CLT, and confidence intervals.<\/td>\n<td>4\u20137<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Calculate the standard error of a sample proportion.<\/td>\n<td>6<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Determine the z critical value for a given confidence level.<\/td>\n<td>7<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Calculate the margin of error for a confidence interval, given the critical value and the standard error.<\/td>\n<td>8<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Construct a confidence interval and label it on a number line.<\/td>\n<td>9, 10<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Glossary<\/p>\n<dl id=\"fs-id1170572229168\" class=\"definition\">\n<dt>point estimate<\/dt>\n<dd id=\"fs-id1170572229174\">a single value based on representative sample data that is a plausible estimate of the population parameter.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572229190\" class=\"definition\">\n<dt>standard error<\/dt>\n<dd id=\"fs-id1170572229195\">the estimated standard deviation of sample proportions.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482608\" class=\"definition\">\n<dt>confidence interval for a population proportion<\/dt>\n<dd id=\"fs-id1170572482614\">a reasonable range of values where we expect the population proportion to fall within, with a chosen degree of confidence.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482619\" class=\"definition\">\n<dt>margin of error(E)<\/dt>\n<dd id=\"fs-id1170572482624\">the width of the confidence interval<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482683\" class=\"definition\">\n<dt>confidence level, \ud835\udc6a<\/dt>\n<dd id=\"fs-id1170572482689\">how much confidence we have in the method used to construct the interval.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482683\" class=\"definition\">\n<dt>z critical value (\ud835\udc9b\u2217)<\/dt>\n<dd id=\"fs-id1170572482689\">the point on the standard normal distribution such that the proportion of area under the curve between \u2212\ud835\udc67\u2217and +\ud835\udc67\u2217is \ud835\udc36, the confidence level.<\/dd>\n<\/dl>\n<\/div>\n<\/div>\n","protected":false},"author":23592,"menu_order":35,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1630","chapter","type-chapter","status-publish","hentry"],"part":704,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1630","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/23592"}],"version-history":[{"count":7,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1630\/revisions"}],"predecessor-version":[{"id":2966,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1630\/revisions\/2966"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/704"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1630\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=1630"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=1630"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=1630"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=1630"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}