Decide whether the normal sampling distribution can be used. If it can be​ used, test the claim about the population proportion p at the given level of significance α using the given sample statistics.   ​Claim: p≠0.23​; α=0.05​; Sample​ statistics: p=0.19​, n=100 Find the​ z-test statistic. z=_______.

Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a 0.05 significance level for both parts.     Male BMI Female BMI   μ μ1 μ2 n 41 41 x 28.3981 26.4624 s 7.246507 5.820596 a. Test the claim that males and females have the same mean body mass index​ (BMI).   What are the null and alternative​ hypotheses?     A. H0​: μ1=μ2 H1​: μ1≠μ2   B. H0​: μ1≥μ2 H1​: μ1<μ2   C. H0​: μ1≠μ2 H1​: μ1<μ2   D. H0​: μ1=μ2 H1​: μ1>μ2     The test​ statistic, t, is ______.​(Round to two decimal places as​ needed.)   The​ P-value is _____.​(Round to three decimal places as​ needed.)     State the conclusion for the test.     A. Fail to reject the null…

Male BMI Female BMI se H2 47 Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. n 47 26.3343 27.3646 8.781948 se 5.636805 se What are the null and alternative hypotheses? se O B. Ho H1 = H2 H1 H1 #H2 O A. Ho H1 H2 H1: H1 H2 O D. H, H1 #H2 H1: H1 < H2 se The test statistic, t, is. (Round to two decimal places as needed.) se The P-value is (Round to three decimal places as needed.)

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.   Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and men have the same mean diastolic blood pressure.   a. The test statistic is ​(Round to two decimal places as​ needed.)   b. The​ P-value is ​(Round to three decimal places as​ needed.)

Need help with question b (the answer is not -0.64 ; 0.82)

Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportions p, and p2 at the given level of significance a using the given sample statistics. Assume the sample statistics are from independent random samples. Claim: P1 = P2, a = 0.10 Sample statistics: X1 = 108, n, = 128 and x, = 32, n, = 195 %3D Can a normal sampling distribution be used? No Yes Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P1 = P2 Ha: P1 > P2 В. Но: Р1 <Р2 Ha: P1 = P2 O C. Ho: P1 # P2 Ha: P1 = P2 D. Ho: P1 = P2 Ha: P1 # P2 O E. A normal sampling distribution cannot be used, so the claim cannot be tested.

Listed below are time intervals (min) between eruptions of a geyser. The "recent" times are within the past few years, and the "past" times are from 1995. Does it appear that the variation of the times between eruptions has changed? Use a 0.05 significance level. Assume that the two populations are normally distributed. E Click the icon to view the sample data. - X Sample data Identify the test statistic. The test statistic is (Round to two decimal places as needed.) Identify the P-value Recent 79 95 89 75 55 97 66 90 66 86 81 87 Past 92 85 94 99 68 82 89 98 84 98 92 91 The P-value is (Round to three decimal places as needed.) Print Done What is the conclusion for this hypothesis test? O A. Reject Ho. There is sufficient evidence to support the claim that the variation of the times between eruptions has changed. O B. Reject Ho. There is insufficient evidence to support the claim that the variation of the times between eruptions has changed. OC. Fail to reject Hg. There is sufficient…