Please help Shortly after September 11th 2001, a researcher wanted to determine if the proportion of females that favored war with Iraq was significantly different from the proportion of males that favored war with Iraq. Ina sample of 70 females, 28 favored war with Iraq. In a sample of 66 males, 36 favored war with Iraq.a) Let pf represent the proportion of females that favor the war, PM represent the proportion of males that favor the war. What are the proper hypotheses?O Ho: PF - PM versus Ha: PF > PMO Ho: PF - PM versus Ha: PF # PMO Ho: PF - PM versus Ha: PF < PMO Ho: PF < PM versus Ha: PF = PMb) What is the test statistic? Compute the statistic using male statistics subtracted from female statistics. Give your answer to four decimal places.c) What is the P-value for the test? Give your answer to four decimal places.d) Using a 0.01 level of significance, what conclusion should be reached?O The proportion of females that favor the war and the proportion of males that favor the war are significantly different because the P-value is less than 0.01.The proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the P-value is less than 0.01.O The proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the P-value is greater than 0.01.O The proportion of females that favor the war and the proportion of males that favor the war are significantly different because the P-value is greater than 0.01.e) What is the lower endpoint of a 99% confidence interval for the difference between the proportion of females that favor the war and the proportion of males that favor the war? Give your answer todecimal places.f) What is the upper endpoint of a 99% confidence interval for the difference between the proportion of females that favor the war and the proportion of males that favor the war? Give your answer tdecimal places.

Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question andmention the sub-parts to be solved.From the information, given thatLet pF denotes the population proportion females that favour war.Let pM denotes the population proportion males that favour war.The claim is to test whether the proportion of females that favoured war with Iraq was significantly different from the proportion of males that favoured the war with Iraq or not.(a)Null hypothesis: That is, there is no evidence that the proportion of females that favoured war with Iraq was significantly different from the proportion of males that favoured the war with Iraq.Alternative hypothesis: That is, there is evidence that the proportion of females that favoured war with Iraq was significantly different from the proportion of males that favoured the war with Iraq.Correct option: Option 2(b)The value of the test statistic is obtained as follows: The value of pooled proportion is,The required value is,Thus, the value of test statistic is -1.6990..(c)Use Excel to obtain the probability value for Z=1.514Follow the instruction to obtain the P-value: 1. Open EXCEL2. Go to Formula bar.3. In formula bar enter the function as“=NORMSDIST”4. Enter the test statistic Z as -1.66905. Click enter From the Excel sheet, the P-value is 0.04466.The P-value for two tails is 0.089319(=2*0.04466).Thus, the P-value is 0.0893..(a)Correct option: Option 2(b)Thus, the value of test statistic is -1.6990..(c)Thus, the P-value is 0.0893.

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Statistics

Shortly after September 11th 2001, a researcher wanted to determine if the proportion of females that favored war with Iraq was significantly different from the proportion of males that favored war with Iraq. In a sample of 70 females, 28 favored war with Iraq. In a sample of 66 males, 36 favored war with Iraq. a) Let py represent the proportion of females that favor the war, Pμ represent the proportion of males that favor the war. What are the proper hypotheses? O Ho: Pr PM versus Ha: PF > PM O Ho: Pr - PM versus Ha: Pr PM O Ho: Pr - PM versus Ha: Pr < PM O Ho: Pr < PM versus Ha: Pr - PM b) What is the test statistic? Compute the statistic using male statistics subtracted from female statistics. Give your answer to four decimal places. [ c) What is the P-value for the test? Give your answer to four decimal places. [ d) Using a 0.01 level of significance, what conclusion should be reached? 0.01