To test Ho: 6 = 2.3 versus H1: 0 > 2.3, a random sample of size n = 24 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 2.6, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a = 0.05 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is xo = (Round to two decimal places as needed.) (b) The P-value is (Round to three decimal places as needed.) (c) Since the P-value is less than the level of significance, the researcher will reject the null hypothesis Ho : 6 = 2.3.Assume that both populations are normally distributed. Population 1 Population 2 (a) Test whether H1 # H2 at the a = 0.05 level of significance for the given sample data. n 10 10 (b) Construct a 95% confidence interval about , - H2. 15.1 12.3 un x 1 3.4 (a) Test whether H, # H2 at the a = 0.05 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. OA. HO:My # H2 H1:H1 = H2 O B. HO:H1 = H2 Hy:My # H2 OC. HO:My # H2 H1: 1 1 > H2 O D. HO:H1 = H2 Hy: H1 > H 2 Detemine the P-value for this hypothesis test. P= (Round to three decimal places as needed.) Should the null hypothesis be rejected? O A. Do not reject Ho, there is sufficient evidence to conclude that the two populations have different means. O B. Do not reject Ho, there is not sufficient evidence to conclude that the two populations have different means. O C. Reject Ho, there is not sufficient evidence to conclude that the two populations have different means. O D. Reject Ho, there is sufficient evidence to conclude that the two populations have different means. (b) Construct a 95% confidence interval about , - H2. We are 95% confident that the mean difference is between _and ] (Round to two decimal places as needed. Use ascending order.)Several years ago, 41% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1, 175 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1, 175 surveyed, 482 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. What are the null and alternative hypotheses? Ho: P .41 versus H1: p # 41 (Round to two decimal places as needed.) Use technology to find the 99% confidence interval. The lower bound is The upper bound is (Round to two decimal places as needed.) What is the correct conclusion? O A. Since the interval contains the proportion stated in the null hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed. O B. Since the interval contains the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed. O C. Since the interval does not contain the proportion stated in the null hypothesis, there is insufficient evidence that parents' attitudes toward the quality of education have changed. O D. Since the interval does not contain the proportion stated in the null hypothesis, there is sufficient evidence that parents' attitudes toward the quality of education have changed