You may need to use the appropriate technology to answer this question.Insure.com reports that the mean annual premium for automobile insurance in the United States was $1,365 in 2018. Being from Pennsylvania, you believe automobile insurance is cheaper there, and you wish to develop statistical support for your opinion. A sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of $1,288 with a standard deviation of

s = $155.

(Use = 0.05.)(a)Develop a hypothesis test that can be used to determine whether the mean annual premium in Pennsylvania is lower than the national mean annual premium.

H₀: = 1,365

H_a: 1,365

H₀: 1,365

H_a: < 1,365

H₀: < 1,365

H_a: 1,365

H₀: 1,365

H_a: > 1,365

H₀: > 1,365

H_a: 1,365

(b)What is a point estimate (in dollars) of the difference between the mean annual premium in Pennsylvania and the national mean? (Use the mean annual premium in Pennsylvania minus the national mean.)$

(c)Find the value of the test statistic. (Round your answer to three decimal places.)What is the p-value? (Round your answer to four decimal places.)p-value =

(d)At = 0.05, test for a significant difference. What is your conclusion?

Reject H₀. We cannot conclude that the population mean automobile premium in Pennsylvania is lower than the national mean.

Do not reject H₀. We cannot conclude that the population mean automobile premium in Pennsylvania is lower than the national mean.

Do not reject H₀. We can conclude that the population mean automobile premium in Pennsylvania is lower than the national mean.

Reject H₀. We can conclude that the population mean automobile premium in Pennsylvania is lower than the national mean.