A poll reported that only 375 out of a total of 1809 adults in a particular...

A poll reported that only 375 out of a total of 1809 adults in a particular region said they had a "great deal of confidence" or"quite a lot of confidence" in the public school system. This was down 5 percentage points from the previous year. Assume the conditions for using the CLT are met. Complete parts (a) through(d) below.

1. Find a 95% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the public schools, and interpret this interval. (____,____) (3 decimal places)

2. We are Answer ____% confident that the population proportion of adults having a great deal or quite a lot of confidence in the public schools is between Answer ___ and ____.

3. Find an 80% confidence interval and interpret it. The 80% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the public schools is Answer (____,____) (Round 3 decimal places)

4. Find the width of each interval by subtracting the lower proportion from the upper proportion, and state which interval is wider.The width of the 95% confidence interval is (Answer) ____ and the width of the 80% confidence interval is (Answer) ____ The 95% interval is wider. (Round to three decimal places as needed.)

Expert Solution

orchestra answered 1 year ago

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