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 Staff Greeting No No 15 4 Yes 14 20 a. Write the hypotheses for the chi-square test for independence. Ho: H,: b. Find the expected frequencies. Friendliness/Politeness Staff Greeting No No Grand Total 19 Yes Yes 34 Grand Total (Type integers or decimals rounded to two decimal places as needed.) 29 24 53 c. Compute the chi-square statistic. 2 = (Type an integer or decimal rounded to two decimal places as needed.) d. Find the chi-square critical value and p-value and draw a conclusion using a level of significance of 0.05. Find the chi-square critical value. (Round to three decimal places as needed.) Find the p-value. p-value =D (Round to three decimal places as needed.) The test statistic the critical value, and the p-value is v the chosen level of significance, 0.05. Therefore, V the null hypothesis and conclude that Greeting and Customer Service Rating are

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
Staff Greeting
No
No
15
4
Yes
14
20
a. Write the hypotheses for the chi-square test for independence.
Ho:
H,
b. Find the expected frequencies.
Friendliness/Politeness
Staff Greeting
No
No
Yes
Grand Total
19
Yes
34
Grand Total
29
24
53
(Type integers or decimals rounded to two decimal places as needed.)
c. Compute the chi-square statistic.
(Type an integer or decimal rounded to two decimal places as needed.)
d. Find the chi-square critical value and p-value and draw a conclusion using a level of significance of 0.05.
Find the chi-square critical value.
(Round to three decimal places as needed.)
Find the p-value.
p-value =
(Round to three decimal places as needed.)
The test statistic
V the critical value, and the p-value is
the chosen level of significance, 0.05. Therefore,
V the null hypothesis and
conclude that Greeting and Customer Service Rating are
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 Staff Greeting No No 15 4 Yes 14 20 a. Write the hypotheses for the chi-square test for independence. Ho: H, b. Find the expected frequencies. Friendliness/Politeness Staff Greeting No No Yes Grand Total 19 Yes 34 Grand Total 29 24 53 (Type integers or decimals rounded to two decimal places as needed.) c. Compute the chi-square statistic. (Type an integer or decimal rounded to two decimal places as needed.) d. Find the chi-square critical value and p-value and draw a conclusion using a level of significance of 0.05. Find the chi-square critical value. (Round to three decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) The test statistic V the critical value, and the p-value is the chosen level of significance, 0.05. Therefore, V the null hypothesis and conclude that Greeting and Customer Service Rating are
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