You may need to use the appropriate appendix table or technology to answer this question.A group of young businesswomen wish to open a high fashion boutique in a vacant store but only if the average income of households in the area is at least $24,000. A random sample of 9 households showed the following results.

• $28,000
• $24,000
• $25,000
• $24,000
• $21,000
• $26,000
• $24,000
• $21,000
• $23,000

Assume the population of incomes is normally distributed.

(a)Compute the sample mean and the standard deviation (in $). (Round your standard deviation to the nearest cent.)mean$ standard deviation$

(b)State the hypotheses (in $) for this problem. (Enter != for as needed.)

H₀:

H_a:

(c)Compute the test statistic.

(d)At a 0.05 level of significance using the p-value approach, what is your conclusion?

Find the p-value.p-value =

State your conclusion. Choose one:

A) Do not reject H₀. There is sufficient evidence to conclude that the average income of households in the area is not at least $24,000.

B) Reject H₀. There is insufficient evidence to conclude that the average income of households in the area is not at least $24,000.

C) Do not reject H₀. There is insufficient evidence to conclude that the average income of households in the area is not at least $24,000.

D) Reject H₀. There is sufficient evidence to conclude that the average income of households in the area is not at least $24,000.