Question

1) Construct a​ 95% confidence interval to estimate the population proportion using the data below.

  x = 24

n= 75

N= 500

2) A university would like to estimate the proportion of fans who purchase concessions at the first basketball game of the season. The basketball facility has a capacity of

3,500 and is routinely sold out. It was discovered that a total of 200 fans out of a random sample of 400 purchased concessions during the game. Construct a​ 95% confidence interval to estimate the proportion of fans who purchased concessions during the game.

3) A physician with a practice is currently serving 280 patients. The physician would like to administer a survey to his patients to measure their satisfaction level with his practice. A random sample of 20 patients had an average satisfaction score of 7.7 on a scale of​ 1-10. The sample standard deviation was 1.1. Complete part a below.

a. Construct a​ 99% confidence interval to estimate the average satisfaction score for the​ physician's practice.

Answer 1

Answer:

Given that:

Construct a​ 95% confidence interval to estimate the population proportion using the data below.

From the given data

Confidence interval

Level of significance   = 0.05

Now