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A mobile phone service provider randomly samples customers each year to measure satisfaction with service being provided. The table to the right summarizes a portion of the survey, with 100 customers sampled each year. Year of Survey Level of Satisfaction Year 1 Year 2 Year 3 Very satisfied 65 66 58 Satisfied 25 26 23 (a) Compute the value of y and the p-value for the test of the null hypothesis of independence. (b) Summarize the results of this test. Unsatisfied 10 19 (a) State the null (Ho) and alternative (H,) hypotheses for this test. O A. Ho: Satisfaction and the year of the survey have equal proportions H: Satisfaction and the year of the survey have non-equal proportions O B. Ho: Satisfaction and the year of the survey have a p-value = 0.05 H: Satisfaction and the year of the survey have a p-value # 0.05 OC. Ho: Satisfaction and the year of the survey are independent H: Satisfaction and the year of the survey are dependent O D. Ho: Satisfaction and the year of the survey are dependent H: Satisfaction and the year of the survey are independent Compute the chi-squared statistic for the table. x2 = (Round to three decimal places as needed.) The p-value for testing Ho is: (Round to three decimal places as needed.) (b) Summarize the results of this test, given a significance level of a = 0.05. O A. Reject Ho. Conclude that satisfaction and the year of the survey are independent. O B. Do not reject Ho. Conclude that satisfaction and the year of the survey are dependent. Oc. Do not reject Ho. Conclude that satisfaction and the year of the survey are independent. O D. Reject Ho: Conclude that satisfaction and the year of the survey are dependent.

A mobile phone service provider randomly samples customers each year to measure satisfaction with service being provided. The table to the right summarizes a portion of the survey, with 100 customers sampled each year. Year of Survey Level of Satisfaction Year 1 Year 2 Year 3 Very satisfied 65 66 58 Satisfied 25 26 23 (a) Compute the value of y and the p-value for the test of the null hypothesis of independence. (b) Summarize the results of this test. Unsatisfied 10 19 (a) State the null (Ho) and alternative (H,) hypotheses for this test. O A. Ho: Satisfaction and the year of the survey have equal proportions H: Satisfaction and the year of the survey have non-equal proportions O B. Ho: Satisfaction and the year of the survey have a p-value = 0.05 H: Satisfaction and the year of the survey have a p-value # 0.05 OC. Ho: Satisfaction and the year of the survey are independent H: Satisfaction and the year of the survey are dependent O D. Ho: Satisfaction and the year of the survey are dependent H: Satisfaction and the year of the survey are independent Compute the chi-squared statistic for the table. x2 = (Round to three decimal places as needed.) The p-value for testing Ho is: (Round to three decimal places as needed.) (b) Summarize the results of this test, given a significance level of a = 0.05. O A. Reject Ho. Conclude that satisfaction and the year of the survey are independent. O B. Do not reject Ho. Conclude that satisfaction and the year of the survey are dependent. Oc. Do not reject Ho. Conclude that satisfaction and the year of the survey are independent. O D. Reject Ho: Conclude that satisfaction and the year of the survey are dependent.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Data Analysis

Level_Of_Satisfaction    Year_1    Year_2    Year_3
Very_Satisfied    65    66    58
Satisfied    25    26    23
Not_Satisfied    10    8    19

A mobile phone service provider randomly samples customers each year to measure satisfaction with service being provided. The table to the right summarizes a portion of the survey, with 100 customers sampled each year. Year of Survey Level of Satisfaction Year 1 Year 2 Year 3 Very satisfied 65 66 58 Satisfied 25 26 23 (a) Compute the value of x and the p-value for the test of the null hypothesis of independence. (b) Summarize the results of this test. Unsatisfied 10 8 19 (a) State the null (Ho) and alternative (H,) hypotheses for this test. O A. Ho: Satisfaction and the year of the survey have equal proportions H.: Satisfaction and the year of the survey have non-equal proportions O B. Ho: Satisfaction and the year of the survey have a p-value = 0.05 H: Satisfaction and the year of the survey have a p-value +0.05 OC. Ho: Satisfaction and the year of the survey are independent H: Satisfaction and the year of the survey are dependent D. Ho: Satisfaction and the year of the survey are dependent Ha: Satisfaction and the year of the survey are independent Compute the chi-squared statistic for the table. x? =O (Round to three decimal places as needed.) The p-value for testing H, is (Round to three decimal places as needed.) (b) Summarize the results of this test, given a significance level of a = 0.05. O A. Reject Ho. Conclude that satisfaction and the year of the survey are independent. B. Do not reject Ho. Conclude that satisfaction and the year of the survey are dependent. O C. Do not reject Ho. Conclude that satisfaction and the year of the survey are independent. O D. Reject Ho. Conclude that satisfaction and the year of the survey are dependent.
Transcribed Image Text:A mobile phone service provider randomly samples customers each year to measure satisfaction with service being provided. The table to the right summarizes a portion of the survey, with 100 customers sampled each year. Year of Survey Level of Satisfaction Year 1 Year 2 Year 3 Very satisfied 65 66 58 Satisfied 25 26 23 (a) Compute the value of x and the p-value for the test of the null hypothesis of independence. (b) Summarize the results of this test. Unsatisfied 10 8 19 (a) State the null (Ho) and alternative (H,) hypotheses for this test. O A. Ho: Satisfaction and the year of the survey have equal proportions H.: Satisfaction and the year of the survey have non-equal proportions O B. Ho: Satisfaction and the year of the survey have a p-value = 0.05 H: Satisfaction and the year of the survey have a p-value +0.05 OC. Ho: Satisfaction and the year of the survey are independent H: Satisfaction and the year of the survey are dependent D. Ho: Satisfaction and the year of the survey are dependent Ha: Satisfaction and the year of the survey are independent Compute the chi-squared statistic for the table. x? =O (Round to three decimal places as needed.) The p-value for testing H, is (Round to three decimal places as needed.) (b) Summarize the results of this test, given a significance level of a = 0.05. O A. Reject Ho. Conclude that satisfaction and the year of the survey are independent. B. Do not reject Ho. Conclude that satisfaction and the year of the survey are dependent. O C. Do not reject Ho. Conclude that satisfaction and the year of the survey are independent. O D. Reject Ho. Conclude that satisfaction and the year of the survey are dependent.
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