You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.21. You use a significance level of ( alpha=0.001 ). [ egin{array}{l} H_{0}: p=0.21 \ H_{1}: p>0.21 end{array} ] You obtain a sample of size ( n=599 ) in which there are 137 successes. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) ( alpha ) greater than ( alpha ) This p-value leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is more than 0.21. There is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is more than 0.21. The sample data support the claim that the proportion of voters who prefer Candidate A is more than 0.21. There is not sufficient sample evidence to support the claim that the proportion of voters who prefer Candidate A is more than 0.21.
Added by Saron S.
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- Null hypothesis (\(H_0\)): \(p = 0.21\), where \(p\) is the proportion of voters who prefer Candidate A. - Alternative hypothesis (\(H_1\)): \(p > 0.21\). Show more…
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You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly less than 0.44. You use a significance level of α=0.001. H0: p = 0.44 H1: p < 0.44 You obtain a sample of size n=323 in which there are 137 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is less than 0.44. There is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is less than 0.44. The sample data support the claim that the proportion of voters who prefer Candidate A is less than 0.44. There is not sufficient sample evidence to support the claim that the proportion of voters who prefer Candidate A is less than 0.44.
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You wish to test the following claim (Ha) at a significance level of α = 0.02. Given a sample of size n1 = 358 from the first population with 94 successes, and a sample of size n2 = 370 from the second population with 89 successes, what is the test statistic for this sample? (Report answer accurate to three decimal places:) Test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places) The p-value is . less than (or equal to) α greater than α This test statistic leads to the decision to reject the null hypothesis or fail to reject the null hypothesis. As such, the final conclusion provides sufficient evidence against the claim that the first population proportion is greater than the second population proportion. There is not enough evidence to support the claim that the first population proportion is greater than the second population proportion.
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