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. Ho H = 59 H #59 Type integers or decimals. Do not round). b) A sample of 832 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 popcom has risen OB. 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 OD. 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 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 significanc- 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 OB. 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 OC. 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 OD. D. 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
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. Ho H = 59 H #59 Type integers or decimals. Do not round). b) A sample of 832 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 popcom has risen OB. 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 OD. 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 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 significanc- 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 OB. 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 OC. 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 OD. D. 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Double check the null and alternative hypothesis as well as b.
complete part c
![**Hypothesis Testing for Popcorn Consumption**
**Hypothesis:**
- Null Hypothesis (H0): \(\mu = 59\) quarts.
- Alternative Hypothesis (H1): \(\mu \neq 59\) quarts.
**(b) Statement Evaluation:**
Based on a sample of 832 Americans, determine if the marketing campaign was effective. Evaluate the evidence and choose the applicable statement for 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) Error Analysis:**
Assume the true mean annual consumption of popcorn after the marketing campaign is 59 quarts. Consider if a Type I or Type II error has occurred if this hypothesis is tested at a 0.05 significance level. Determine the probability of committing the respective error:
- A. A Type I error occurred because the marketing department did not reject the alternative hypothesis when the null hypothesis was true. Probability of making a Type I error is: [blank space].
- B. A Type II error occurred because the marketing department did not reject the alternative hypothesis when the null hypothesis was true. Probability of making a Type II error is: [blank space].
- C. A Type II error occurred because the marketing department rejected the null hypothesis when it was true. Probability of making a Type II error is: [blank space].
- D. A Type I error occurred because the marketing department rejected the null hypothesis when it was true. Probability of making a Type I error is: [blank space].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d55ed2a-d84e-4159-b65f-b98f41f516dd%2F296b0c8b-fdd3-4322-b4c3-a930df81da1c%2Fhcf04m5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing for Popcorn Consumption**
**Hypothesis:**
- Null Hypothesis (H0): \(\mu = 59\) quarts.
- Alternative Hypothesis (H1): \(\mu \neq 59\) quarts.
**(b) Statement Evaluation:**
Based on a sample of 832 Americans, determine if the marketing campaign was effective. Evaluate the evidence and choose the applicable statement for 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) Error Analysis:**
Assume the true mean annual consumption of popcorn after the marketing campaign is 59 quarts. Consider if a Type I or Type II error has occurred if this hypothesis is tested at a 0.05 significance level. Determine the probability of committing the respective error:
- A. A Type I error occurred because the marketing department did not reject the alternative hypothesis when the null hypothesis was true. Probability of making a Type I error is: [blank space].
- B. A Type II error occurred because the marketing department did not reject the alternative hypothesis when the null hypothesis was true. Probability of making a Type II error is: [blank space].
- C. A Type II error occurred because the marketing department rejected the null hypothesis when it was true. Probability of making a Type II error is: [blank space].
- D. A Type I error occurred because the marketing department rejected the null hypothesis when it was true. Probability of making a Type I error is: [blank space].
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