Consider a population proportion p = 0.17. [You may find it useful to reference the z table.]

a. What is the expected value and the standard error of the sampling distribution of the sample proportion with n = 25 and n = 55? (Round the standard error to 4 decimal places.)

n expected value standard error

25

55

b. Can you conclude that the sampling distribution of the sample proportion is normally distributed for both sample sizes?

multiple choice 1

• Yes, the sampling distribution of the sample proportion is normally distributed for both sample sizes.
• No, the sampling distribution of the sample proportion is not normally distributed for either sample size.
• No, only the sample proportion with n = 25 will have a normal distribution.
• No, only the sample proportion with n = 55 will have a normal distribution.

c. If the sampling distribution of the sample proportion is normally distributed with n = 25, then calculate the probability that the sample proportion is between 0.15 and 0.17. (If appropriate, round final answer to 4 decimal places.)

multiple choice 2

• We cannot assume that the sampling distribution of the sample proportion is normally distributed.
• We can assume that the sampling distribution of the sample proportion is normally distributed and the probability that the sample proportion is less than 12.5 is

Probability -----------------

d. If the sampling distribution of the sample proportion is normally distributed with n = 55, then calculate the probability that the sample proportion is between 0.15 and 0.17. (If appropriate, round final answer to 4 decimal places.)

multiple choice 3

• We cannot assume that the sampling distribution of the sample proportion is normally distributed.
• We can assume that the sampling distribution of the sample proportion is normally distributed and the probability that the sample proportion is less than 12.5 is

Probability ------------------