Shortly after September 11th 2001, a researcher wanted to determine if the propo

Question

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 74 females, 30 favored war with Iraq. In a sample of 52 males, 34 favored war with Iraq.
b) What is the test statistic? Compute the statistic using male statistics subtracted from female statistics. Give your answer to four decimal places. provide step by step and 4 decimal places. 2.65 is wrong ...and 2.75

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 to four decimal 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 to four decimal places.  

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 0

Hypothesis test results:

99% confidence interval results:

b) Test statistic = - 2.7462

e) 99% confidence interval:

Lower endpoint = - 0.4731

Upper endpoint = - 0.0237

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