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Solution: Use the sign test for the claim involving nominal
Chapter 13, Problem 16BSC(choose chapter or problem)
Use the sign test for the claim involving nominal data. Football Survey? In a ?USA Today? poll, people responded to this question “Are today’s NFL (football) games too long?” Among the respondents with a definitive answer, 242 answered yes and 396 answered no. Use a 0.05 significance level to test the claim that respondents did not have a strong opinion one way or the other. How are the results affected by the additional information that the responses are from Internet users who chose to answer the question posted on the ?USA Today?web site?
Questions & Answers
QUESTION:
Use the sign test for the claim involving nominal data. Football Survey? In a ?USA Today? poll, people responded to this question “Are today’s NFL (football) games too long?” Among the respondents with a definitive answer, 242 answered yes and 396 answered no. Use a 0.05 significance level to test the claim that respondents did not have a strong opinion one way or the other. How are the results affected by the additional information that the responses are from Internet users who chose to answer the question posted on the ?USA Today?web site?
ANSWER:Solution 16BSC Step 1 Let us denote ‘p’ as the proportion of people responded to this question that today’s NFL (football) games are too long i.e.,p = 1= 0.5. 2 By using = 0.05 level of significance to test the claim that the respondents did not have a strong opinion one way or the other i.e., p =/ 0.5. The Hypotheses can be expressed as H : p = 0.5 (proportion of people responded to this question that today’s NFL games are 0 too long) H : p = / 0.5 (respondents did not have a strong opinion one way or the other) 1