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Q(a) A hotel asked its customers to rate their stay as Good, Average or Poor. The following contingency table shows the frequency of each rating as well as the age group of the customers. Rating Average (A) Age (years) Good (G) Poor (P) Less than 30 30-<50 50 and above 57 92 27 38 81 17 50 98 40 (i) Show whether there is any evidence of a significant association between age group and rating of customers. Use a = 0.02. (ii) Construct a 98% confidence interval for the true proportion of customers giving good rating. Thus, interpret the answer. (iii) It is claimed that the proportion of customers who are 50 years old and above and give poor rating to the hotel is more than 5%. Can the claim be supported at 5% level of significance?

Q(a) A hotel asked its customers to rate their stay as Good, Average or Poor. The following contingency table shows the frequency of each rating as well as the age group of the customers. Rating Average (A) Age (years) Good (G) Poor (P) Less than 30 30-<50 50 and above 57 92 27 38 81 17 50 98 40 (i) Show whether there is any evidence of a significant association between age group and rating of customers. Use a = 0.02. (ii) Construct a 98% confidence interval for the true proportion of customers giving good rating. Thus, interpret the answer. (iii) It is claimed that the proportion of customers who are 50 years old and above and give poor rating to the hotel is more than 5%. Can the claim be supported at 5% level of significance?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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QI(a) A hotel asked its customers to rate their stay as Good, Average or Poor. The following contingency table shows the frequency of each rating as well as the age group of the customers. Rating Average (A) 92 Age (years) Good (G) Poor (P) 27 Less than 30 30-<50 50 and above 57 81 98 38 17 50 40 (i) Show whether there is any evidence of a significant association between age group and rating of customers. Use a = 0.02. (ii) Construct a 98% confidence interval for the true proportion of customers giving good rating. Thus, interpret the answer. (iii) It is claimed that the proportion of customers who are 50 years old and above and give poor rating to the hotel is more than 5%. Can the claim be supported at 5% level of significance?
Transcribed Image Text:QI(a) A hotel asked its customers to rate their stay as Good, Average or Poor. The following contingency table shows the frequency of each rating as well as the age group of the customers. Rating Average (A) 92 Age (years) Good (G) Poor (P) 27 Less than 30 30-<50 50 and above 57 81 98 38 17 50 40 (i) Show whether there is any evidence of a significant association between age group and rating of customers. Use a = 0.02. (ii) Construct a 98% confidence interval for the true proportion of customers giving good rating. Thus, interpret the answer. (iii) It is claimed that the proportion of customers who are 50 years old and above and give poor rating to the hotel is more than 5%. Can the claim be supported at 5% level of significance?
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