standard deviation of 7.22 hours. At the 5% significance level what can you conclude?
The following 6 questions are based on this information.A politician claims that he is supported by more than 50% of voters. In a recent survey, 24 out of 40 randomly selected voters indicated that they would vote for the politician. Specify the null and alternative hypotheses. Select one: a. H(0): p≤0.5 versus H(a): p>0.5 b. H(0): p≥0.5 versus H(a): p<0.5 The sample proportion, p¯ is Select one: a. 0.6
b. 40 c. 24 d. 0.4 The standard error (SE) of p ¯ is Select one: a. 0.079 b. 0.013 c. 0.006 d. 0.4 The test statistics value is Select one: a. 1.266 b. 0.251 c. 7.692 d. 2.53 The p-value is Select one: a. 0.103 b. 0.006 c. 0 d. 0.401 At α =0.05 and using the p-value Select one: a. We do not reject H(0) b. We reject H(0) in favor of H(a) Let denotes the number of randomly selected voters who indicated that they would vote for the politician out of 40 randomly selected voters. Assume, where is the population proportion of voters who would vote for the politician. We want to see if the politician's claim that he is supported by more than 50% of voters, is correct or not. ie we want to test (a) An estimate of the population proportion is the sample proportion which is (a) We know, and then,
and (a) As, the sample size is large, we can use the following distribution The value of the test statistic is (a) The of the test statistic is (a) As, the is gretaer than the level of significance , we do not have enough evidence to reject the null hypothesis and conclude that the politician's claim is not correct.
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- Fall '16