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Professors collected data consisting of eye color and gender of statistics students. Among 896 male students, 313 had blue eyes. Among 1099 female students, 362 had blue eyes. Use a 0.01 significance level to test the claim that the proportions of blue eyes are the same for males and females. Complete parts (a) through (c) below. Consider the first sample to be the sample of males and the second sample to be the sample of females. a. Test the claim using a hypothesis test. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 # P2 O B. Ho: P1 = P2 O C. Ho: P1 SP2 H1 : P1 = P2 H1 : P1 = P2 H1 : P1 # P2 OD. Ho- P1 2 P2 OE. HO: P1 = P2 OF. Ho: P1 = P2 H1 : P1 # P2 Hy : P1 # P2 Hy : P1 > P2 Identify the test statistic. z=] (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of a = 0.01, so the null hypothesis. There evidence to warrant rejection of the claim that the proportions of blue eyes are the same for females and males. b. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is |