Shortly after September 11th 2001, a researcher wanted todetermine if the proportion of females that favored war with Iraqwas significantly different from the proportion of males thatfavored war with Iraq. In a sample of 73 females, 28 favored warwith Iraq. In a sample of 54 males, 29 favored war with Iraq.
a) Let pF represent the proportion of females that favorthe war, pM represent the proportion of males that favorthe war. What are the proper hypotheses?
H0: pF = pM versusHa: pF > pM H0:pF = pM versus Ha: pF< pM    H0:pF < pM versus Ha:pF = pM H0: pF =pM versus Ha: pF ≠pM
b) What is the test statistic? Compute the statistic using malestatistics subtracted from female statistics. Give your answer tofour decimal places.
c) What is the P-value for the test? Give your answer to fourdecimal places.
d) Using a 0.01 level of significance, what conclusion should bereached?
The proportion of females that favor the war and the proportionof males that favor the war are significantly different because theP-value is greater than 0.01. The proportion of females that favorthe war and the proportion of males that favor the war are notsignificantly different because the P-value is greater than 0.01.    The proportion of females that favor thewar and the proportion of males that favor the war are notsignificantly different because the P-value is less than 0.01. Theproportion of females that favor the war and the proportion ofmales that favor the war are significantly different because theP-value is less than 0.01.
e) What is the lower endpoint of a 99% confidence interval for thedifference between the proportion of females that favor the war andthe proportion of males that favor the war? Give your answer tofour decimal places.
f) What is the upper endpoint of a 99% confidence interval for thedifference between the proportion of females that favor the war andthe proportion of males that favor the war? Give your answer tofour decimal places
