2). I am studying for my upcoming test and need help with this question with work provided. Thank you :)

Male BMI | Female BMI H1 H2 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. n 47 17 Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. x 27.2256 26.2569 S 8.120187 5.082062 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. HO: M1 # H2 OB. HO: H1 2 H2 H1: 1 1 H2 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. O A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O C. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O D. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI.