The cross-tabulation data given below show the number of people who rated a customer service representative as friendly and polite based on whether the representative greeted them first. Complete parts a through d below. Friendliness/Politeness Yes 7 Staff Greeting No 10 13 No Yes 18 a. Write the hypotheses for the chi-square test for independence. Ho: Greeting and Customer Service Rating are independent H₁ Greeting and Customer Service Rating are dependent b. Find the expected frequencies. Friendliness/Politeness Yes Staff Greeting No No 8.15 Yes 14.85 Grand Total 17 31 Grand Total 23 25 48 (Type integers or decimals rounded to two decimal places as needed.) c. Compute the chi-square statistic. 8.85 16.15 (Type an integer or decimal rounded to two decimal places as needed) SITE
The cross-tabulation data given below show the number of people who rated a customer service representative as friendly and polite based on whether the representative greeted them first. Complete parts a through d below. Friendliness/Politeness Yes 7 Staff Greeting No 10 13 No Yes 18 a. Write the hypotheses for the chi-square test for independence. Ho: Greeting and Customer Service Rating are independent H₁ Greeting and Customer Service Rating are dependent b. Find the expected frequencies. Friendliness/Politeness Yes Staff Greeting No No 8.15 Yes 14.85 Grand Total 17 31 Grand Total 23 25 48 (Type integers or decimals rounded to two decimal places as needed.) c. Compute the chi-square statistic. 8.85 16.15 (Type an integer or decimal rounded to two decimal places as needed) SITE
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
Related questions
Question
![The cross-tabulation data given below show the number of people who rated a customer service representative as friendly and polite based on whether the representative greeted them first. Complete parts a through d below.
Friendliness/Politeness
Yes
7
18
Staff Greeting No
10
13
No
Yes
a. Write the hypotheses for the chi-square test for independence.
Ho Greeting and Customer Service Rating are independent
H₁ Greeting and Customer Service Rating are dependent
b. Find the expected frequencies.
Friendliness/Politeness
Yes
Staff Greeting No
Grand Total
No
8.15
17
Yes
14.85
31
Grand Total 23
25
48
(Type integers or decimals rounded to two decimal places as needed.)
c. Compute the chi-square statistic.
8.85
16.15
22²-0
=
(Type an integer or decimal rounded to two decimal places as needed)
SAV](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6c17e53-6ae6-43ea-86b2-cd8c36145bc2%2F27ee509f-5eaf-4fbb-8f42-9613364057fc%2F38o7avm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The cross-tabulation data given below show the number of people who rated a customer service representative as friendly and polite based on whether the representative greeted them first. Complete parts a through d below.
Friendliness/Politeness
Yes
7
18
Staff Greeting No
10
13
No
Yes
a. Write the hypotheses for the chi-square test for independence.
Ho Greeting and Customer Service Rating are independent
H₁ Greeting and Customer Service Rating are dependent
b. Find the expected frequencies.
Friendliness/Politeness
Yes
Staff Greeting No
Grand Total
No
8.15
17
Yes
14.85
31
Grand Total 23
25
48
(Type integers or decimals rounded to two decimal places as needed.)
c. Compute the chi-square statistic.
8.85
16.15
22²-0
=
(Type an integer or decimal rounded to two decimal places as needed)
SAV
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