Using the central limit theorem, applied to the sampling distribution of the sample proportion, what conditions must be met? Group of answer choices   A. n>= 30 B. n >= 100 C. np >=5. n(1-p) >=5 D. np >=30. n(1-p) >=30

The sampling distribution attached shows sample means from samples of size n=50. 1. Using the sampling distribution, how likely is x-bar=55.6? Reasonably likely to occur from sample of this size, unusual but might occur occasionally, or extremely unlikely to occur. 2.using the sampling distribution, how likely is x-bar=64.2? Reasonably likely to occur from sample of this size, unusual but might occur occasionally, or extremely unlikely to ever occur.

For a large, top-rated corporation, 93% of employees said the corporation is a great place to work. Suppose that we will take a random sample of 8 employees. Let p represent the proportion of employees from the sample who said the corporation is a great place to work. Consider the sampling distribution of the sample proportion p. Complete the following. Carry your intermediate computations to four or more decimal places. Write your answers with two decimal places, rounding if needed. (a) Find (the mean of the sampling distribution of the sample proportion). Ha =0 ? (b) Find on (the standard deviation of the sampling distribution of the sample proportion). ?

Describe the sampling distribution of p. Assume the size of the population is 20,000. n 800, p 0.356 Describe the shape of the sampling distribution of p. Choose the correct answer below. A. The shape of the sampling distribution of p is not normal because n s 0.05N and np(1 - p)< 10 В. The shape of the sampling distribution of p is approximately normal because ns0.05N and np(1 -p) 10 A С. The shape of the sampling distribution of p is approximately normal because ns0.05N and np(1 -p)2 10 D. The shape of the sampling distribution of p is not normal because ns 0.05N and np(1 -p)z 10. Determine the mean of the sampling distribution of p. (Round to three decimal places as needed.) HA р Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.) р

Describe the sampling distribution of p. Assume the size of the population is 25,000. n = 600, p = 0.313 A Describe the shape of the sampling distribution of p. Choose the correct answer below. A. The shape of the sampling distribution of p is approximately normal because n ≤0.05N and np(1 - p) ≥ 10. A B. The shape of the sampling distribution of p is approximately normal because n ≤0.05N and np(1 - p) < 10. C. The shape of the sampling distribution of p is not normal because n≤0.05N and np(1-p) ≥ 10. ^ D. The shape of the sampling distribution of p is not normal because n ≤0.05N and np(1 − p) < 10. Determine the mean of the sampling distribution of p. H^ = р (Round to three decimal places as needed.) Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.) OA = р

According to a survey in a country, 38% of adults do not own a credit card. Suppose a simple random sample of 500 adults is obtained. Complete parts (a) through (d) below. (a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. OA. Approximately normal because n ≤0.05N and np(1-p) 10 Determine the mean of the sampling distribution of p. H₂ = (Round to two decimal places as needed.)

Describe the sampling distribution of p. Assume the size of the population is 30,000. n = 900, p = 0.625 Describe the shape of the sampling distribution of p. Choose the correct answer below. A. The shape of the sampling distribution of p is not normal because n ≤0.05N and np(1-p) < 10. B. The shape of the sampling distribution of p is approximately normal because n≤0.05N and np(1-p) ≥ 10. C. The shape of the sampling distribution of p is not normal because n ≤0.05N and np(1 - p) ≥ 10. р A D. The shape of the sampling distribution of p is approximately normal because n ≤0.05N and np(1-p) < 10. Determine the mean of the sampling distribution of p. (Round to three decimal places as needed.) H₁ = Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.) 0₁ = р