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. Staff Greeting No No 11 Yes 13 Friendliness/Politeness Yes 20 a. Write the hypotheses for the chi-square test for independence Ho Greeting and Customer Service Rating are independent Greeting and Customer Service Rating are dependent H₂ b. Find the expected frequencies Staff Greeting No No. Friendliness/Politeness Grand Total 18

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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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.
Staff Greeting No
11
13
No
Yes
Friendliness/Politeness
Yes
7
20
a. Write the hypotheses for the chi-square test for independence
Ho
Greeting and Customer Service Rating are independent
H₂ Greeting and Customer Service Rating are dependent
b. Find the expected frequencies
Staff Greeting No
No
Friendliness/Politeness
Yes
Grand Total
18
ORTOR
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. Staff Greeting No 11 13 No Yes Friendliness/Politeness Yes 7 20 a. Write the hypotheses for the chi-square test for independence Ho Greeting and Customer Service Rating are independent H₂ Greeting and Customer Service Rating are dependent b. Find the expected frequencies Staff Greeting No No Friendliness/Politeness Yes Grand Total 18 ORTOR
Friendliness/Politeness
Yes
Staff Greeting No
Grand Total
No
18
Yes
33
Grand Total 24
27
51
(Type integers or decimals rounded to two decimal places as needed.)
c. Compute the chi-square statistic.
/Tung an integer or decimal rounded to hun decimal places a nondod 1
Show Transcribed 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 repr
them first. Complete parts a through d below
Friendliness/Politeness
Yes
Staff Greeting No
No
11
Yes
13
20
S
(Round to three decimal places as needed)
Find the p-value
p-value
(Round to three decimal places as needed)
D
The test statisticITI
conclude that Greeting and Customer Service Rating are
the critical value, and the p-value is
4
the chosen level of significance 001 Therefore,
the null hypo
Transcribed Image Text:Friendliness/Politeness Yes Staff Greeting No Grand Total No 18 Yes 33 Grand Total 24 27 51 (Type integers or decimals rounded to two decimal places as needed.) c. Compute the chi-square statistic. /Tung an integer or decimal rounded to hun decimal places a nondod 1 Show Transcribed 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 repr them first. Complete parts a through d below Friendliness/Politeness Yes Staff Greeting No No 11 Yes 13 20 S (Round to three decimal places as needed) Find the p-value p-value (Round to three decimal places as needed) D The test statisticITI conclude that Greeting and Customer Service Rating are the critical value, and the p-value is 4 the chosen level of significance 001 Therefore, the null hypo
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