You may need to use the appropriate appendix table or technology to answer this question.An automobile manufacturer stated that it will be willing to mass produce electric-powered cars if more than 30% of potential buyers indicate they will purchase the newly designed electric cars. In a sample of 500 potential buyers, 165 indicated that they would buy such a product.

(a)State the hypotheses for this problem. (Enter != for as needed.)

H₀:

H_a:

(b)Compute the standard error of p. (Round your answer to five decimal places.)

(c)Compute the test statistic. (Round your answer to two decimal places.)

(d)At the 5% level of significance, what is your conclusion? Choose one:

A) Do not reject H₀. There is insufficient evidence to conclude that more than 30% of potential buyers would purchase the electric cars.

B) Reject H₀. There is insufficient evidence to conclude that more than 30% of potential buyers would purchase the electric cars. C) Do not reject H₀. There is sufficient evidence to conclude that more than 30% of potential buyers would purchase the electric cars.

D) Reject H₀. There is sufficient evidence to conclude that more than 30% of potential buyers would purchase the electric cars.

Should the manufacturer produce the new electric-powered car? Choose one:

A) Yes, they should produce it.

B) No, they should not produce it.