According to a foodwebsite, the mean consumption of popcorn annually by Americans is 63 quarts. The marketing division of the food website unleashes an aggressive campaign designed to get

Americans to consume even more popcorn. Complete parts(a) through(c) below.

(a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign.

H0:

p

p

sigma

mu

equals

=

not equals

nothing

H1:

p

p

sigma

mu

greater than

>

not equals

less than

<

nothing

(Type integers or decimals. Do notround.)

(b) A sample of 865 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department.

A.

There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same.

B.

There is not sufficient evidence to conclude that the mean consumption of popcorn has stayed the same.

C.

There is sufficient evidence to conclude that the mean consumption of popcorn has risen.

D.

There is not sufficient evidence to conclude that the mean consumption of popcorn has risen.

(c)Suppose, infact, the mean annual consumption of popcorn after the marketing campaign is 63 quarts. Has a Type I or Type II error been made by the marketingdepartment? If we tested this hypothesis at the =0.1 level ofsignificance, what is the probability of committing thiserror? Select the correct choice below and fill in the answer box within your choice.

(Type an integer or a decimal. Do notround.)

A.

The marketing department committed a Type I error because the marketing department rejected the null hypothesis when it was true. The probability of making a Type I error is

nothing

.

B.

The marketing department committed a Type II error because the marketing department rejected the null hypothesis when it was true. The probability of making a Type II error is

nothing

.

C.

The marketing department committed a Type I error because the marketing department did not reject the alternative hypothesis when the null hypothesis was true. The probability of making a Type I error is

nothing

.

D.

The marketing department committed a Type II error because the marketing department did not reject the alternative hypothesis when the null hypothesis was true. The probability of making a Type II error is

nothing

.