You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.
Ho:p1=p2Ho:p1=p2
Ha:p1>p2Ha:p1>p2
You obtain 91% successes in a sample of size n1=592n1=592 from the first population. You obtain 85.6% successes in a sample of size n2=634n2=634 from the second population. For this test, you should NOT use the continuity correction, and you should use the
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) αα
- greater than αα
This test statistic leads to a decision to...
- reject the null hypothesis
- accept the null hypothesis
- fail to reject the null hypothesis
As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.
- There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.
- The sample data support the claim that the first population proportion is greater than the second population proportion.
- There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.
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- You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.4. You use a significance level of α=0.002α=0.002. H0:p=0.4H0:p=0.4 H1:p>0.4H1:p>0.4You obtain a sample of size n=200n=200 in which there are 99 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) αα greater than αα 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 0.4. There is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is more than 0.4. The sample data support the claim that the proportion of voters who prefer Candidate A is more than 0.4. There is not sufficient sample…arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:p1=p2Ho:p1=p2 Ha:p1>p2Ha:p1>p2You obtain 65.6% successes in a sample of size n1=209n1=209 from the first population. You obtain 48.7% successes in a sample of size n2=265n2=265 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.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) αα greater than αα This test statistic leads to a decision to... reject the null hypothesis accept the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first…arrow_forwardThe sample correlation coefficient between X and Y is 0.375. It has been found out that the p-value is 0.744 when testing Ho :p = 0 against the one-sided alternative H1:p < 0. To test Ho:p = 0 against the two-sided alternative H1: p not equal to 0. at a significance level of 0.193, the p-value is 0.744 /2 O (0.744) 2 O 1-0.744 O (1 -0.744) 2arrow_forward
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