Question# 5 A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if he wishes the estimate to be within four percentage points with 99% confidence, assuming that (a) he uses the estimates of 21.6% male and 18.4% female from a previous year? (b) he does not use any prior estimates? (Round up to the nearest whole number.)Question# 7 The following data represent the muzzle velocity (in feet per second) of rounds fired from a 155-mm gun. For each round, two measurements of the velocity were recorded using two different measuring devices, resulting in the following data. Complete parts (a) through (d) below. Observation 1 2 3 4 5 6 D 792.4 790.4 791.6 792.2 792.2 791.7 B 800.6 787.0 793.1 790.1 801.0 788.6 (a) Determine the test statistic for this hypothesis test. to= (Round to two decimal places as needed.) (b) Find the P value. P - Value = (Round to three decimal places as needed.) (c) Construct a 99% confidence interval about the population mean difference. Compute the difference as device A minus device B. Interpret your results. The lower bound is The upper bound is (Round to two decimal places as needed.)Question# 8 To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a = 0.10 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click here to view the table of data. - X Table of height data Which conditions must be met by the sample for this test? Select all that apply. Height of Height of Father, Xi Son, Y; A. The sampling method results in a dependent sample. 70.9 76.0 67.8 71.2 [B. The sample size is no more than 5% of the population size. 67.3 69.9 C. The differences are normally distributed or the sample size is large. 72.2 73.9 71.8 73.1 D. The sampling method results in an independent sample. 70.6 71.2 OE. The sample size must be large. 71.3 71.2 69.8 69.3 73.3 72.1 69.4 67.6 67.6 65.0 70.7 67.3 66.9 61.8 Write the hypotheses for the test. Ha Calculate the test statistic. to = (Round to two decimal places as needed.) Calculate the P-value. P-value = (Round to three decimal places as needed.) Should the null hypothesis be rejected? Ho because the P-value is the level of significance. There sufficient evidence to conclude that sons their fathers at the 0.10 level of significance