According to a food, website, the mean consumption of popcorn annually by Americans is 59 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. SIIN r MENE H₁ μ1 > 59 4 (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. OA. 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 risen. D. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same (c) Suppose, in fact, the mean annual consumption of popcorn after the marketing campaign is 59 quarts. Has a Type I or Type Il error been made by the marketing department? If we tested this hypothesis at the a= 0.05 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) ' OA. 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. B. 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 OC. The marketing department committed a Type Il error because the marketing department did not reject the alternative hypothesis when the null hypothesis was true. The probability of making a Type Il error is OD. The marketing department committed a Type Il error because the marketing department rejected the null hypothesis when it was true. The probability of making a Type Il error is

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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According to a food,website, the mean consumption of popcorn annually by Americans is 59 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.
H₁ μ
59
(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.
C. There is sufficient evidence to conclude that the mean consumption of popcorn has risen
D. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same.
(c) Suppose, in fact, the mean annual consumption of popcorn after the marketing campaign is 59 quarts. Has a Type I or Type Il error been made by the marketing department? If we tested this
hypothesis at the α = 0.05 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 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
B. 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
OC. 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 Il error is
D. The marketing department committed a Type Il error because the marketing department rejected the null hypothesis when it was true. The probability of making a Type II error is
Transcribed Image Text:According to a food,website, the mean consumption of popcorn annually by Americans is 59 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. H₁ μ 59 (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. C. There is sufficient evidence to conclude that the mean consumption of popcorn has risen D. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. (c) Suppose, in fact, the mean annual consumption of popcorn after the marketing campaign is 59 quarts. Has a Type I or Type Il error been made by the marketing department? If we tested this hypothesis at the α = 0.05 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 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 B. 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 OC. 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 Il error is D. The marketing department committed a Type Il error because the marketing department rejected the null hypothesis when it was true. The probability of making a Type II error is
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