According to a research center, 16% of all merchandise sold in a particular country gets returned. A department store in a certain city sampled 80 items sold in January and found that 24 of the items were returned.

(a)

Construct a point estimate of the proportion of items returned for the population of sales transactions at the store in the given city.

?

(b)

Construct a 95% confidence interval for the proportion of returns at the store in the given city. (Round your answers to four decimal places.)

______________________ to _______________________

(c)

Is the proportion of returns at the store in the given city significantly different from the returns for the country as a whole? Provide statistical support for your answer.

Develop appropriate hypotheses such that rejection of H₀ will support the conclusion that the proportion of returns at the store in the given city is significantly different from the returns for the country as a whole. Choose Correctly

• H₀: p 0.16

H_a: p > 0.16

• H₀: p < 0.16

H_a: p 0.16

• H₀: p 0.16

H_a: p < 0.16

• H₀: p > 0.16

H_a: p 0.16

• H₀: p = 0.16

H_a: p 0.16

Find the value of the test statistic. (Round your answer to two decimal places.)

?

Find the p-value. (Round your answer to four decimal places.)

p-value =

At = 0.01, what is your conclusion? Choose Correctly

• Reject H₀. There is insufficient evidence to conclude that the return rate for the store in the given city is different than the country's national return rate.

• Do not reject H₀. There is insufficient evidence to conclude that the return rate for the store in the given city is different than the country's national return rate.

• Reject H₀. There is sufficient evidence to conclude that the return rate for the store in the given city is different than the country's national return rate.

• Do not reject H₀. There is sufficient evidence to conclude that the return rate for the store in the given city is different than the country's national return rate.