10C/10D

A woman working at a computer

Fraction Decimal Percentage
1/2 0.5 50%
1/3
25%
0.2
1/8 12.5%
0.667
0.75
1
0.1 0.9
0.23
0.5
0.78
0.91
0.85
0.48
Number Surveyed Number of “Yes” Responses Fraction
100 20 20/100 0.2
100 40
100 80
50 20
500 20
1000 20
Appropriate?

(Yes or no)
50 0.3
50 0.05
15 0.45
100 0.01
40 0.25
80 0.25
Sample Size Mean Minimum Maximum
50
100
500
Sample Size # of Successes Point Estimate Margin of Error
100 30
1,000 300
10,000 3,000
Appropriate?

(Yes or no)
50 0.1
100 0.1
45 0.5
30 0.5
25 0.9
120 0.9
Confidence Level Margin of Error Minimum Sample Size
95% ±2.5%
95% ±4%
95% ±6%
99% ±6%
Confidence Level Margin of Error Population Proportion Minimum Sample Size
95% ±2.5% 0.1
95% ±4% 0.2
95% ±6% 0.3
99% ±6% 0.3
Skill or Concept: I can . . . Questions to check your understanding Rating
from 1 to 5
Understand how sample size affects margin of error. 1–4
Determine the sample size needed to achieve a given margin of error when working with proportions. 5–7
Bring the “Looking Ahead” information to class. 8, 9

A person in front of a podium that reads "Vote" in front of an American flag. There are several other American flags in the room. A screenshot with two headings at the top. “Compare Two Population Proportions” is selected and “Confidence” is unselected. There is a dropdown labeled “Enter Date” and “Number of Success” has been selected. The next heading reads “Group 1” and beneath it are two input text boxes. The first one is labeled “Sample Size” and it reads 3746. The second one is labeled “# of Successes” and it reads 309. The next heading says “Group 2” and there are two input text boxes beneath it too. The first one is labeled “Sample Size” and the second one is labeled “# of Successes.” Both of them are empty. Beneath them, there is a selected checkbox that reads “Provide Group Labels.” Beneath this, there is an input text box labeled “Group 1,” under which it reads “Perceived Female.” Beside it is another input text box titled “Group 2.” Beneath it, the input reads “Perceived Male.”

party_id major_party regular_voter
Democrat Yes Yes
Other No Yes
Democrat Yes No
Democrat Yes No
Republican Yes Yes
Other No No
Republican Yes Yes
Democrat Yes Yes
Republican Yes Yes
Other No Yes
Republican Yes No
Democrat Yes No
Republican Yes No
Other No No
Republican Yes Yes
instagram is_liberal
No Yes
No No
No No
No No
No Yes
No Yes
No No
No Yes
No Yes
No No
No No
No Yes
No No
No No
No No
Skill or Concept: I can . . . Questions to check your understanding Rating
from 1 to 5
Identify the sample and population. 1, Parts A and B
Calculate sample proportions and their differences. 1, Parts C and D

3
Identify independent vs. dependent samples. 3, 4
Use technology to calculate the confidence interval for the difference in two proportions from independent samples. 5
Interpret the confidence interval in the context of the data. 6