Consider a population proportion p = 0.20. a. What are the expected value and the standard error for the sampling distribution of the sample proportion with n = 20 and n = 58? Note: Round the standard error to 4 decimal places. Answer is complete and correct. n Expected value Standard error 20 58 0.20 0.20 0.0894 0.0525 b. Can you conclude that the sampling distribution of the sample proportion is approximately normally distributed for both sample sizes? 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 = 20 will have a normal distribution. No, only the sample proportion with n = 58 will have a normal distribution. c. If the sampling distribution of the sample proportion is normally distributed with n = 20, then calculate the probability that the sample proportion is between 0.18 and 0.20. Note: If appropriate, round final answer to 4 decimal places. 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 between 0.18 and 0.20 is Answer is complete but not entirely correct. Probability 0.0871
Consider a population proportion p = 0.20. a. What are the expected value and the standard error for the sampling distribution of the sample proportion with n = 20 and n = 58? Note: Round the standard error to 4 decimal places. Answer is complete and correct. n Expected value Standard error 20 58 0.20 0.20 0.0894 0.0525 b. Can you conclude that the sampling distribution of the sample proportion is approximately normally distributed for both sample sizes? 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 = 20 will have a normal distribution. No, only the sample proportion with n = 58 will have a normal distribution. c. If the sampling distribution of the sample proportion is normally distributed with n = 20, then calculate the probability that the sample proportion is between 0.18 and 0.20. Note: If appropriate, round final answer to 4 decimal places. 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 between 0.18 and 0.20 is Answer is complete but not entirely correct. Probability 0.0871
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Transcribed Image Text:Consider a population proportion p = 0.20.
a. What are the expected value and the standard error for the sampling distribution of the sample proportion with n = 20 and n = 58?
Note: Round the standard error to 4 decimal places.
Answer is complete and correct.
n
Expected value
Standard error
20
58
0.20
0.20
0.0894
0.0525
b. Can you conclude that the sampling distribution of the sample proportion is approximately normally distributed for both sample
sizes?
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 = 20 will have a normal distribution.
No, only the sample proportion with n = 58 will have a normal distribution.
c. If the sampling distribution of the sample proportion is normally distributed with n = 20, then calculate the probability that the
sample proportion is between 0.18 and 0.20.
Note: If appropriate, round final answer to 4 decimal places.
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 between 0.18 and 0.20 is
Answer is complete but not entirely correct.
Probability
0.0871
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