You wish to test the following claim (Ha) at a significance level of α=0.01. Ho:p1=p2 Ha:p1>p2 You obtain 54.3% successes in a sample of size n1=529 from the first population. You obtain 47.9% successes in a sample of size n2=555 from the second population. For this test, you should NOT use the continuity correction, and you
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You wish to test the following claim (Ha) at a significance level of α=0.01.
Ho:p1=p2
Ha:p1>p2
You obtain 54.3% successes in a sample of size n1=529 from the first population. You obtain 47.9% successes in a sample of size n2=555 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) α
- greater than α
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- 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 26.5% successes in a sample of size n1=324n1=324 from the first population. You obtain 24.9% successes in a sample of size n2=591n2=591 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 =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>p2You obtain 578 successes in a sample of size n1=660n1=660 from the first population. You obtain 579 successes in a sample of size n2=723n2=723 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 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 first population proportion is greater than the…You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:p1=p2Ho:p1=p2 Ha:p1<p2Ha:p1<p2You obtain 182 successes in a sample of size n1=431n1=431 from the first population. You obtain 182 successes in a sample of size n2=345n2=345 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 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 first population proportion is less than the…
- You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:p1=p2Ho:p1=p2 Ha:p1≠p2Ha:p1≠p2 You obtain 259 successes in a sample of size n1=326n1=326 from the first population. You obtain 236 successes in a sample of size n2=258n2=258 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 z-score of the critical value? (Report answer accurate to three decimal places.)±± What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.) The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the nullYou 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 82 successes in a sample of size n1=309n1=309 from the first population. You obtain 107 successes in a sample of size n2=326n2=326 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 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 first population proportion is not equal to the second…You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:p1=p2Ho:p1=p2 Ha:p1>p2Ha:p1>p2You obtain 490 successes in a sample of size n1=579n1=579 from the first population. You obtain 450 successes in a sample of size n2=545n2=545 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 =
- Why is the null hypothesis for a dependent-samples t- test always μD=0 μD=0 ?Assume that you have a sample of n1=8, with the sample mean X1=44, and a sample standard deviation of S1=5, and you have an independent sample of n2=14 from another population with a sample mean of X2=30 and the sample standard deviation S2=6. Using a significance level of α=0.025, what is the critical value for a one-tail test of the hypothesis H0: μ1≤ μ2 against the alternative H1: μ1>μ2? The critical value is ______ (Round to two decimal places as needed.)The test statistic of z=2.17 is obtained when testing the claim that p>0.1. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α=0.01, should we reject H0 or should we fail to reject H0?
- Also, using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2009 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2009 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?The test statistic of z = 0.85 is obtained when testing the claim that p > 0.2. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α = 0.10, should we reject H0 or should we fail to reject H0?Assume that you have a sample of n1=7 , with the sample mean X1=44 , and a sample standard deviation of S1=6 , and you have an independent sample of n2=6 from another population with a sample mean of X2=32 and the sample standard deviation S2=5 . Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that μ1>μ2?