According to a food website, the mean consumption of popcorn annually by Americans is 61 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. Họ: H;: (Type integers or decimals. Do not round.) (b) A sample of 821 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department. O A. There is sufficient evidence conclude that the mean consumption popcorn has risen. O B. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. OC. There is not sufficient evidence to conclude that the mean consumption of popcorn has risen. O D. There is not 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 61 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.) O A. The marketing department committed 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. O 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 O C. 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. O D. 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
According to a food website, the mean consumption of popcorn annually by Americans is 61 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. Họ: H;: (Type integers or decimals. Do not round.) (b) A sample of 821 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department. O A. There is sufficient evidence conclude that the mean consumption popcorn has risen. O B. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. OC. There is not sufficient evidence to conclude that the mean consumption of popcorn has risen. O D. There is not 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 61 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.) O A. The marketing department committed 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. O 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 O C. 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. O D. 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
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 9E
Related questions
Question
a-c
Transcribed Image Text:According to a food website, the mean consumption of popcorn annually by Americans is 61 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.
Ho:
H :
(Type integers or decimals. Do not round.)
(b) A sample of 821 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 risen.
B. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same.
C. There is not 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 stayed the same.
(c) Suppose, in fact, the mean annual consumption of popcorn after the marketing campaign is 61 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.)
O A. 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
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
C. 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
D. 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.
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