Question

In: Statistics and Probability

a. Set p=0.5 , n=10, confidence level 95% and draw 25 samples. What percent of the...

a. Set p=0.5 , n=10, confidence level 95% and draw 25 samples.

What percent of the intervals captured p=0.5 (i.e. true percent)?

b. a. Set p=0.5 , n=10, confidence level 80% and draw 25 samples.

What percent of the intervals captured p=0.5 (true percent).

What is the difference with case a?

c. Set p=0.5 , n=100, confidence level 95% and draw 25 samples.

What percent of the intervals captured p=0.5 (true percent).

What is the difference with case a?

Expert Solution

(a)

Since confidence level is 95% so 95% confidence intervals out of 25 confidence intervals will contain true p=0.5.

Answer: 95%

(b)

Since confidence level is 80% so 80% confidence intervals out of 25 confidence intervals will contain true p=0.5.

Answer: 80%

In part a confidence level is 95% while in part b confidence level is 80%.

(c)

Since confidence level is 95% so 95% confidence intervals out of 25 confidence intervals will contain true p=0.5.

Answer: 95%

In part a confidence level sample size for each confidence interval is 10 while in part c sample size is 100 for each confidence interval.

orchestra answered 2 years ago

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