SOLUTION: The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executi

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Question 922874: The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a sample of 400 viewers. After viewing the comedy, 230 indicated they would watch the new show and suggested it replace the crime investigation show.

(a) Estimate the value of the population proportion. (Round your answer to 3 decimal places.)

Estimated population proportion

(b)
Develop a 95 percent confidence interval for the population proportion. (Round your answers to 3 decimal places.)

The confidence interval is between ... and ....
Having the hardest time with confidence interval, please show your work so I can learn how to do this on my own. Thank you!
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!
(a) Estimate the value of the population proportion. p = 230/400 = .575
sd = sqrt(.575*.425/400)
(b) Develop a 95 percent confidence interval for the population proportion.
SE = sqrt(pq/n) = sqrt(.575*.425/400) = .0247
ME = 1.96(.0247) = .048
.575 - .048
.575 + .048
CI: (.527, .623)
..........
= CI z = value
90% z =1.645
92% z = 1.751
95% z = 1.96 ***
98% z = 2.326
99% z = 2.576