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(a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign. Họ: 61 H,: 61 (Type integers or decimals. Do not round.) (b) A sample of 886 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 sufficient evidence to conclude that the mean consumption of popcorn has risen. C. There is not 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 61 quarts. Has a Type I or Type Il error been made by the marketing department? If we tested this hypothesis at the a = 0.01 level 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.) significance, 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 B. 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 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. 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 Il error is

(a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign. Họ: 61 H,: 61 (Type integers or decimals. Do not round.) (b) A sample of 886 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 sufficient evidence to conclude that the mean consumption of popcorn has risen. C. There is not 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 61 quarts. Has a Type I or Type Il error been made by the marketing department? If we tested this hypothesis at the a = 0.01 level 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.) significance, 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 B. 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 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. 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 Il error is

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Question 10

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. Но 61 H1: 61 > (Type integers or decimals. Do not round.) (b) A sample of 886 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 sufficient evidence to conclude that the mean consumption of popcorn has risen. C. There is not 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 61 quarts. Has a Type I or Type Il error been made by the marketing department? If we tested this hypothesis at the a = 0.01 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 I error because the marketing department rejected the null hypothesis when it was true. The probability of making a Type I error is. B. 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 II error is 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. 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 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. Но 61 H1: 61 > (Type integers or decimals. Do not round.) (b) A sample of 886 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 sufficient evidence to conclude that the mean consumption of popcorn has risen. C. There is not 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 61 quarts. Has a Type I or Type Il error been made by the marketing department? If we tested this hypothesis at the a = 0.01 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 I error because the marketing department rejected the null hypothesis when it was true. The probability of making a Type I error is. B. 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 II error is 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. 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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