Determine the P-value for this hypothesis test. Group of answer choices 0.978 0.013 0.027 0.321   Should the null hypothesis be rejected? Group of answer choices Do not reject H0, there is not sufficient evidence to conclude that the two populations have different means.  Reject H0, there is sufficient evidence to conclude that the two populations have different means.

In a test of hypothesis, the null hypothesis is that the population mean is equal to 24 and the alternative hypothesis is that the population mean is not equal to 24. The test is to be made at the 5% significance level. The critical values of z are: a. –2.07 and 2.07 b. –1.65 and 1.65 c. –1.96 and 1.96           d. –2.17 and 2.17

Test the claim about the population​ mean, μ​, at the given level of significance using the given sample statistics. ​Claim: μ≠6000​; α=0.08​; σ=391. Sample​ statistics: x=5900​, n=49   Determine the outcome and conclusion of the test. Choose from the following. A. Reject H0. At the 8​% significance​ level, there is enough evidence to support the claim. B. Fail to reject H0. At the 8​% significance​ level, there is not enough evidence to support the claim. C. Fail to reject H0. At the 8​% significance​ level, there is not enough evidence to reject the claim. D. Reject H0. At the 8​% significance​ level, there is enough evidence to reject the claim.

You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.      Ho:μ1=μ2Ho:μ1=μ2      Ha:μ1<μ2Ha:μ1<μ2You obtain the following two samples of data. Sample #1 Sample #2 41.9 43.9 54.4 59.3 65.1 75.1 47.8 53.5 49.7 66.3 62.1 49.1 28.1 42.8 56.4 43.6 35.6 38.1 38.1 58.2 40.2 42.8 57.1 53.5 64 48.4 28.1 28.1 51.3 54.4 44.7 61.3 41.1 51.3 51.3 66.3 75.1 47.5 60.4 48.4 34.8 37.5 54.4 39.2 43.2 55.1 33.2 34 61.7 57.4 36.3 50.3 37.5 40.6 41.1 60.8 56.8       61.3 42.3 40.7 45.1 53.6 40 56.2 42.8 50.4 57.4 53.4 60.7 61 68.1 55.6 55.1 53.6 49.9 53.2 65.7 49.5 52.8 45.4 54.5 58.9 58.9 50.8 60.1 54.3 66.4 56.2 51.3 53.4 52.3 52.3 64.6 53.4 53.6 55.8 64.1 46.6 57.9 48 59.8 58.9 64.6 54.1 47.7 63.6 59.5 54.7 50.6   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? For this calculation, use the…

You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.02 .      Ho:μ1=μ2  Ha:μ1≠μ2   You obtain the following two samples of data. Sample #1 Sample #2 67.1 64.2 32.7 49.0 63.8 54.8 63.5 54.1 65.6 54.8 40.5 58.7 39.4 43.1 72.5 73.1 70.2 71.2 68.1 73.1 79.7 67.3 66.5 61.7 62.9 76.5   What is the test statistic for this sample?test statistic = Round to 3 decimal places. What is the p-value for this sample?p-value = Use Technology Round 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 first population mean is not equal to the second population mean. There is not sufficient…

You wish to test the following claim (Ha) at a significance level of α=0.10      Ho:μ1=μ2      Ha:μ1≠μ2You obtain the following two samples of data. Sample #1 Sample #2 69.2 62.6 86.1 59.8 63.9 51.2 58.5 70.6 64.5 44.2 57.1 75 73.6 62.6 61.7 57.1 67.1 77.3 64.8 58.8 68.1 60.1 72.7 74 81 55.7 68.8 69.9 36.9 66.4 56.8 63.9 52.5 50.7 80.2 67.1 63.5 60.4 58.1 43.2 51.6 70.6 86.1 60.7 62 77.9 52.9 61 60.4 73.6 68.8 51.6 69.9 50.2     67.8 56.6 73.3 61 47.7 55.7 58.6 73.3 51.7 64.7 54.7 59.6 59.3 55.4 26 42.1 76.1 43.7 38.7 63.5 48.5 49.6 65.1 70.5 68.8 65.5 42.1 44.2 63.1 46.9 56.3 47.7 34.8 66.9 86 31.7 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? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value = The p-value is... less than…

Test the claim about the difference between two population means µ1 and µ2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: 41 = H2; a = 0.05. Assume o? =o; Sample statistics: x, = 31.8, s, = 3.4, n, = 12 and X2 = 34.7, s2 = 2.3, n2 = 1 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H12H2 Ha: H1 H2 OF. Ho: H1> H2 Ha: H1 SH2 Find the standardized test statistic t. t=| (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho. There enough evidence at the 5% level of significance to reject the claim.

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is µd = 0. x / 734 13 y / 99 8 7 13 Compute the value of the test statistic. (Round your answer to nearest hundredth. Hint: The correct test statistic is positive.)

You wish to test the following claim (Ha) at a significance level of a = 0.01. H₂:μ₁ = μ₂ Ha:μι > με You obtain the following two samples of data. Sample #1 Sample #2 60 50.1 91.5 89.8 56 44.8 85.6 93.4 58.4 83.8 106.9 73.9 44.8 78.1 70.8 37.7 63.5 82.7 71.7 34.7 90.6 67.7 66.8 61.6 65 65.9 77.6 61.1 111.7 106.9 51.8 88.3 69 80.5 78.1 62.6 99.7 64.5 67.2 52.6 71.2 75.3 76.2 96.8 70.8 49.2 46.1 111.7 51.8 The p-value is... mlm What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 66.2 63.3 60 63.1 61.3 75 62.3 63.3 69.4 57.9 71.2 68.4 74.7 70.6 65.1 68.5 75.8 78.4 73.1 58.6 59.1 66 71.5 67.2 67.3 69 70.9 68.9 73.1 64.4 66.9 71.2 65.6 68.7 60.7 65.3 76.3 74.7 70.1 65.6 59.6 68.2 67.2 69.7 68.9 65.4 66.2 65.6 65.1 62.5 0.7 60.4 68.9 76.8 65.6 76.3 64.7 55.6 71.7 69.7 64.2 72.9 What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to…

MM