. Question 1 0.6 Your sample consists of 89 subjects, with 50 successes. Calculate the test statistic, rounded to 2 decimal places 2 =0 Question 2 v Perform a Hypothesis Test for the Proportion (1 -Prop-Z-Test) According to the Centers of Disease Control, about 21% of American young people between the ages of 12 and 19 are obese. A student claims that the students in his local schools are in better shape than the national average, so their proportion of obese students is less than 21%. Which are the appropriate null and alternative hypotheses for this study? 0 Ho: p = 21%, HA: p > 21% O Ho: p = 21%, HA: p 21% OHo: p:0,HA: p=0 O Ho: p = 21%, HA: p Perform a Hypothesis Test for Two Means (2-Samp-T-Test) You are testing the claim that the mean GPA of night students is less than the mean GPA of day students. You sample 30 night students, and the sample mean GPA is 2.65 with a standard deviation of 0.64 You sample 45 day students, and the sample mean GPA is 3.05 with a standard deviation of 0.93 Calculate the test statistic, rounded to 2 decimal places. Question 7 Perform a Hypothesis Test for Two Means (2-Samp-T-Test) A study of the number of business lunches that executives claim as expenses per month gives the following results: fifty-eight bank executives average 7.7 such deductions with a standard deviation of 2.5, while thirty-nine insurance executives average 8.5 deductions with a standard deviation of 1.4. Test the claim that bank executives have fewer deductions per month, on average, than insurance executives using a = 0.05. a. What type of test will be used in this problem? Select an answer b. What evidence justifies the use of this test? Check all that apply: O The population standard deviation is not known The original population is approximately normal O There are two different samples being compared Onp > 5 and nq > 5 The sample standard deviation is not known The sample sizes are larger than 30 O The population standard deviation is known c. Enter the null hypothesis for this test. Ho ? v ? v ? d. Enter the alternative hypothesis for this test. H1 : ? v ? v ? e. Is the original claim located in the null or alternative hypothesis? Select an answer f. What is the test statistic for the given statistics? g. What is the p-value for this test? h. What is the decision based on the given statistics? Select an answer i. What is the correct interpretation of this decision? Using a * level of significance, there | Select an answer |sufficient evidence to Select an answer the claim that bank executives have fewer deductions per month, on average, than insurance executives.. Question 8 Perform a Hypothesis Test for Two Means (2-Samp-T-Test) Test the daim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.005 significance level. The null and alternative hypothesis would be: Ho:PN = PD Ho:UN = D HO: UN = UD HO: UN = AD HO:PN = PD Ho: PN = PD HI:PN PD H1:UN > UD HI:AN PD H1:PN