Score on last try: 1.2 of 4 pts. See Details for more. > Next question You can retry this question below You wish to test the following claim ($H_A$) at a significance level of $\alpha = 0.10$. $H_0: p_1 = p_2$ $H_A: p_1 > p_2$ You obtain 506 successes in a sample of size $n_1 = 720$ from the first population. You obtain 361 successes in a sample of size $n_2 = 543$ from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 1.427 X What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = 0.1528 × The p-value is... less than (or equal to) $\alpha$ greater than $\alpha$ This test statistic leads to a decision to... reject the null accept the null fail to reject the null
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p̂1 = 506/720 = 0.7028 p̂2 = 361/543 = 0.6650 Show more…
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You wish to test the following claim (Ha) at a significance level of α = 0.02. For the context of this problem, μd = Post Test - Pre Test where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your μ1 and μ2 are so that the differences are computed correctly.) Ho: μd = 0 Ha: μd ≠ 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 68.3 59.1 60.1 15.1 69.9 57.1 72.5 41.1 66.4 70.6 43.5 -11.3 50.5 24.5 46.6 36.8 63.8 80.4 71.4 77.4 58.4 83.1 44.9 48.3 60.1 30.9 60.9 33.7 46.1 32.2 76.1 57.4 70.9 58.7 59.3 46.5 48.9 32.6 52.9 66.6 63.5 33.6 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) 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 mean difference of post-test from pre-test is not equal to 0. There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0. The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0.
Dominador T.
You wish to test the following claim (Ha) at a significance level of α = 0.01. For the context of this problem, let PreTest represent the first dataset, which represents the pre-test scores, and let PostTest represent the second dataset, which represents the post-test scores. Each row represents the pre- and post-test scores for an individual. Be careful when you enter your data and specify what your μ and μd are so that the differences are computed correctly. H0: μd = 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Pre-Test: 54.1, 55.6, 43.4, 50.5, 48.3 Post-Test: 51.9, 48.9, 54.1, 28.4, 29.9 For the data above, the sample mean of the differences is 15.48 and the sample standard deviation of the differences is 23.9642. Hint: You should use Hypothesis Test MS Excel Template or Minitab for calculations. What is the test statistic for this sample? Test statistic: (Report answer accurate to two decimal places) What is the p-value for this sample? p-value: (Report answer accurate to two 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 - accept the null hypothesis As such, the final conclusion is that: - There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0. - There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0.
Adi S.
You wish to test the following claim (Ha) at a significance level of α=0.01. For the context of this problem, μd= PostTest−PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your μ1 and μ2 are so that the differences are computed correctly.) Ho: μd=0 Ha: μd≠0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 52.8 48.7 27.8 51.2 42.8 48.8 42 7.5 45 33.7 28.6 10.1 50.4 3.5 41.4 1.6 56 9.1 36.1 -5.1 53.4 121.7 37.7 89.5 48.6 22.9 51.7 -16.7 43.7 57.9 36.8 9.9 37.9 36.3 41.4 -7 57.4 106.2 45.2 94 30.3 5.8 50.4 56.4 39.2 77.8 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) 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 mean difference of post-test from pre-test is not equal to 0. • There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0. • The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0. • There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0.
Gerald H.
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