Questioniven 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 istributed 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. Submit t InIS test: 20 point(S) possible This question: 4 point(s) possible \begin{tabular}{|c|c|r|} \hline & Male BMI & Femal \\ \hline $\boldsymbol{\mu}$ & $\mu_{1}$ & $\mu_{2}$ \\ \hline $\bar{n}$ & 49 & 49 \\ \hline $\bar{x}$ & 27.8756 & 26.07 \\ \hline s & 8.866451 & 4.1461 \\ \hline \end{tabular} - Test the claim that males and females have the same mean body mass index (BMI).
That are the null and alternative hypotheses? A $$\begin{array}{l} H_{0}: \mu_{1}=\mu_{2} \\ H_{1}: \mu_{1} \neq \mu_{2} \end{array}$$ B. $H_{0}: \mu_{1} \neq \mu_{2}$ $H_{1}: \mu_{1}<\mu_{2}$ C $$\begin{array}{l} H_{0}: \mu_{1}=\mu_{2} \\ H_{1}: \mu_{1}>\mu_{2} \end{array}$$ D. $H_{0}: \mu_{1} \geq \mu_{2}$ $H_{1}: \mu_{1}<\mu_{2}$ he test statistic, t , is $\square$ . (Round to two decimal places as needed.) he $P$-value is $\square$ (Round to three decimal places as needed.) tate the conclusion for the test. A. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. B. 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. C. 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. Next