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 0 Staff Greeting No Yes Yes No 12 15 6 19 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 Staff Greeting No Yes Grand Total No 9.35 8.65 18 Yes 17.65 16.35 34 Grand Total 27 25 52 (Type integers or decimals rounded to two decimal places as needed.) c. Compute the chi-square statistic. 7-0 (Type an integer or decimal rounded to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Find the chi-square statistics, probability, and determine the degrees of freedom need to be used. Then find the chi-square critical value and p-value.
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
Staff Greeting No
No
Yes
Yes
12
15
6
19
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
Staff Greeting No
Yes
Grand Total
No
9.35
8.65
18
Yes
17.65
16.35
34
Grand Total
27
25
52
(Type integers or decimals rounded to two decimal places as needed.)
c. Compute the chi-square statistic.
7-
(Type an integer or decimal rounded to two decimal places as needed.)
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 Staff Greeting No No Yes Yes 12 15 6 19 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 Staff Greeting No Yes Grand Total No 9.35 8.65 18 Yes 17.65 16.35 34 Grand Total 27 25 52 (Type integers or decimals rounded to two decimal places as needed.) c. Compute the chi-square statistic. 7- (Type an integer or decimal rounded to two decimal places as needed.)
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