I need help with these short statistics questions. 1. Describe the sampling dist

Question

I need help with these short statistics questions.

1. Describe the sampling distribution of p.

2. What is a confidence interval for p used for?

3. Interpret the meaning of a 90% confidence interval for the population proportion.

4. What is the effect of increasing the sample size in a confidence interval if all other quantities stay same?

5. What is the effect of increasing the confidence level in a confidence interval if all other quantities stay the same?

6. What are the requirements for a confidence interval of a single population proportion, large sample?

7. What is the formula for determining the sample size when estimating the population proportion?

Explanation / Answer

1.The sampling distribution of p^ is normal with mean 0, standard deviation 1.

2.The confidence interval for p is:

P+/-z*p(1-p)/na                                                                                    

3.The 90% confidence interval for the population proportion contains the true population proportion with 90% confidence.

4.If the sample size is increased then the confidence interval gets narrower.

5.If the confidence level is increased then the confidence interval gets wider.

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