In studying his campaign plans, Mr. Singleton wishes to estimate the difference between men's and women's views regarding his appeal as a candidate. He asks his campaign manager to take two random independent samples and find the 98% confidence interval for the difference. A random sample of 610 male voters and 494 female voters was taken. 142 men and 173 women favored Mr. Singleton as a candidate. Find this confidence interval.
Step 1 of 3 :
Find the point estimate that should be used in constructing the confidence interval. Round your answer to three decimal places.
Step 2 of 4: Find the critical value that should be used in constructing the confidence interval.
Step 3 of 4: Find the value of the margin of error. Round your answer to six decimal places.
Step 4 of 4: Construct the 98% confidence interval. Round your answers to three decimal places.
Note if we round p1 and p2 to three decimals we get different confidence interval
i.e, (-0.181, -0.054) so round according to your answer .
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