16. According to a food website, 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. (1) (2) Ho: (3) (4) H1: (Type integers or decimals. Do not round.) (b) A sample of 895 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 not 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 risen. OC. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. D. There is sufficient evidence to conclude that the mean consumption of popcorn has risen. (c) Suppose, in fact, the mean annual consumption of popcorn after the marketing campaign is 63 quarts. Has a Type I or Type Il error been made by the marketing department? If we tested this hypothesis at the a= 0.01 level of significance, what is the probability of committing this error? Select the correct choice below and fill in the answer box within your choice. (Type an integer or a decimal. Do not round.) O A. The marketing department committed a Type Il error because the marketing department rejected the null hypothesis B. The marketing department committed a Type I error because the marketing department rejected the null hypothesis C. The marketing department committed a Type I error because the marketing department did not reject the alternative D. The marketing department committed a Type II error because the marketing department did not reject the alternativ

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16. According to a food website, 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: (1) (2) __________

__________ __________

H1: (3) (4) __________

__________ __________

(Type integers or decimals. Do not round.)

(b) A sample of 895 Americans provides enough evidence to conclude that the marketing campaign was effective. Provide a statement that should be put out by the marketing department.

- A. There is not 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 risen.
- C. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same.
- D. There is sufficient evidence to conclude that the mean consumption of popcorn has risen.

(c) Suppose, in fact, 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 marketing department? If we tested this hypothesis at the α = 0.01 level of significance, what is the probability of committing this error? Select the correct choice below and fill in the answer box within your choice.

(Type an integer or a decimal. Do not round.)

- A. The marketing department committed a Type II error because the marketing department rejected the null hypothesis.
- B. The marketing department committed a Type I error because the marketing department rejected the null hypothesis.
- C. The marketing department committed a Type I error because the marketing department did not reject the alternative hypothesis.
- D. The marketing department committed a Type II error because the marketing department did not reject the alternative hypothesis.
Transcribed Image Text:16. According to a food website, 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: (1) (2) __________ __________ __________ H1: (3) (4) __________ __________ __________ (Type integers or decimals. Do not round.) (b) A sample of 895 Americans provides enough evidence to conclude that the marketing campaign was effective. Provide a statement that should be put out by the marketing department. - A. There is not 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 risen. - C. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. - D. There is sufficient evidence to conclude that the mean consumption of popcorn has risen. (c) Suppose, in fact, 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 marketing department? If we tested this hypothesis at the α = 0.01 level of significance, what is the probability of committing this error? Select the correct choice below and fill in the answer box within your choice. (Type an integer or a decimal. Do not round.) - A. The marketing department committed a Type II error because the marketing department rejected the null hypothesis. - B. The marketing department committed a Type I error because the marketing department rejected the null hypothesis. - C. The marketing department committed a Type I error because the marketing department did not reject the alternative hypothesis. - D. The marketing department committed a Type II error because the marketing department did not reject the alternative hypothesis.
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