{"id":5361,"date":"2022-08-19T22:36:41","date_gmt":"2022-08-19T22:36:41","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=5361"},"modified":"2022-08-19T22:36:41","modified_gmt":"2022-08-19T22:36:41","slug":"11d-coreq","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/11d-coreq\/","title":{"raw":"11D Coreq","rendered":"11D Coreq"},"content":{"raw":"In the next preview assignment and in the next class, you will learn to write the\u00a0 conclusion of a hypothesis test in context.\r\n\r\nCommunicating in Math and Statistics\r\n\r\nIn the Resource Writing Principles, you are introduced to the idea of how to write short\u00a0 responses and sentences in this course. There are four principles introduced in this\u00a0 document, but the key idea overall is that you should be able to effectively communicate\u00a0 ideas. While the tools that you are learning in this course rely on mathematical\u00a0 principles, ultimately the goal is to use analytical skills to convey information to\u00a0 someone who may not have any mathematical or statistical background.\r\n\r\nIn hypothesis testing, we use mathematical symbols to express the null and alternative\u00a0 hypotheses statements. However, it is important to remember that mathematical\u00a0 symbols represent words.\r\n
\r\n

Question 1<\/h3>\r\nConsider the equals sign, [latex] = [\/latex]. Without using the word \u201cequal,\u201d come up with at least two alternate explanations of what this symbol means.\r\n\r\n<\/div>\r\n
\r\n

Question 2<\/h3>\r\nNow, consider the greater than symbol, [latex] > [\/latex]. Without using the word \u201cgreater,\u201d come up with at least two alternate explanations of what this symbol means.\r\n\r\n<\/div>\r\n
\r\n

Question 3<\/h3>\r\nNow, consider the less than symbol, [latex] < [\/latex]. Without using the words \u201cless than,\u201d come up with at least two alternate explanations of what this symbol means.\r\n\r\n<\/div>\r\n
\r\n

Question 4<\/h3>\r\nNow, consider the not equal to symbol,[latex] \\neq [\/latex] . Without using the words \u201cnot equal,\u201d come up with at least two alternate explanations of what this symbol means.\r\n\r\n<\/div>\r\nWhen we write the conclusion of a hypothesis test, we write the statement in a complete sentence, often referring back to both the variable of interest and the population being studied. This borrows from Principle 2 in the Resource Writing Principles, which explains that a complete sentence should be able to stand on its own and all relevant information should be in the answer.\r\n
\r\n

Question 5<\/h3>\r\nConsider the statement, \u201cThe data show that the difference between them is at least 10.\u201d\r\n\r\nIs this statement complete? Does it stand on its own? Explain.\r\n\r\n<\/div>\r\n
\r\n

Question 6<\/h3>\r\nConsider the following two statements. Which statement do you think is written more clearly? Explain.\r\n
    \r\n \t
  • Statement A: \u201cBased on the research, it is higher than 2,300 milligrams.\u201d<\/li>\r\n \t
  • Statement B: \u201cBased on the research, the mean sodium intake for adults in the United States is higher than 2,300 milligrams.\u201d<\/li>\r\n<\/ul>\r\n<\/div>\r\n ","rendered":"

    In the next preview assignment and in the next class, you will learn to write the\u00a0 conclusion of a hypothesis test in context.<\/p>\n

    Communicating in Math and Statistics<\/p>\n

    In the Resource Writing Principles, you are introduced to the idea of how to write short\u00a0 responses and sentences in this course. There are four principles introduced in this\u00a0 document, but the key idea overall is that you should be able to effectively communicate\u00a0 ideas. While the tools that you are learning in this course rely on mathematical\u00a0 principles, ultimately the goal is to use analytical skills to convey information to\u00a0 someone who may not have any mathematical or statistical background.<\/p>\n

    In hypothesis testing, we use mathematical symbols to express the null and alternative\u00a0 hypotheses statements. However, it is important to remember that mathematical\u00a0 symbols represent words.<\/p>\n

    \n

    Question 1<\/h3>\n

    Consider the equals sign, [latex]=[\/latex]. Without using the word \u201cequal,\u201d come up with at least two alternate explanations of what this symbol means.<\/p>\n<\/div>\n

    \n

    Question 2<\/h3>\n

    Now, consider the greater than symbol, [latex]>[\/latex]. Without using the word \u201cgreater,\u201d come up with at least two alternate explanations of what this symbol means.<\/p>\n<\/div>\n

    \n

    Question 3<\/h3>\n

    Now, consider the less than symbol, [latex]<[\/latex]. Without using the words \u201cless than,\u201d come up with at least two alternate explanations of what this symbol means.\n\n<\/div>\n

    \n

    Question 4<\/h3>\n

    Now, consider the not equal to symbol,[latex]\\neq[\/latex] . Without using the words \u201cnot equal,\u201d come up with at least two alternate explanations of what this symbol means.<\/p>\n<\/div>\n

    When we write the conclusion of a hypothesis test, we write the statement in a complete sentence, often referring back to both the variable of interest and the population being studied. This borrows from Principle 2 in the Resource Writing Principles, which explains that a complete sentence should be able to stand on its own and all relevant information should be in the answer.<\/p>\n

    \n

    Question 5<\/h3>\n

    Consider the statement, \u201cThe data show that the difference between them is at least 10.\u201d<\/p>\n

    Is this statement complete? Does it stand on its own? Explain.<\/p>\n<\/div>\n

    \n

    Question 6<\/h3>\n

    Consider the following two statements. Which statement do you think is written more clearly? Explain.<\/p>\n

      \n
    • Statement A: \u201cBased on the research, it is higher than 2,300 milligrams.\u201d<\/li>\n
    • Statement B: \u201cBased on the research, the mean sodium intake for adults in the United States is higher than 2,300 milligrams.\u201d<\/li>\n<\/ul>\n<\/div>\n

       <\/p>\n","protected":false},"author":574340,"menu_order":10,"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-5361","chapter","type-chapter","status-publish","hentry"],"part":5305,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5361","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\/574340"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5361\/revisions"}],"predecessor-version":[{"id":5362,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5361\/revisions\/5362"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/5305"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5361\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5361"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5361"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5361"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5361"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}