Kelly is a waitress and her average tip rate is 18%. After taking a sample of her tips from a week, she thinks her tip rate is actually higher. The data below is the tip rate for 15 randomly chosen checks (the numbers represent percentage). Assume that tip rates are normally distributed. 18.5 20 17.9 22 18 18.1 P-value= a) Express the null and alternative hypotheses in symbolic form for this claim. Ho: Select an answer H: Select an answer b) What is the test statistic. Round to 2 decimals. Dont forget to indicate if it is z= or t=. c) What is the p-value. Round to 4 decimals 17 21.3 17.5 d) Make a decision based on a c= .05 O Reject the null O Do not reject the null 18.2 17.9 20 e) What is the conclusion? 15 19.6 18 O There is not sufficient evidence to support the claim that Kelly's average tip rate is greater than 18% greater than 18% O There is sufficient evidence to support the claim that Kelly's average tip rate

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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Kelly is a waitress and her average tip rate is 18%. After taking a sample of her tips from a week, she thinks
her tip rate is actually higher. The data below is the tip rate for 15 randomly chosen checks (the numbers
represent percentage). Assume that tip rates are normally distributed.
18.5
20
17.9
22
18
18.1
Ha: Select an answer
a) Express the null and alternative hypotheses in symbolic form for this claim.
Ho: Select an answer
P
value=
b) What is the test statistic. Round to 2 decimals. Dont forget to indicate if it is z= or t=.
c) What is the p-value. Round to 4 decimals
17
21.3
17.5
d) Make a decision based on a c = .05
O Reject the null
O Do not reject the null
18.2
17.9
20
e) What is the conclusion?
15
19.6
18
O There is not sufficient evidence to support the claim that Kelly's average tip rate is greater than 18%
O There is sufficient evidence to support the claim that Kelly's average tip rate is greater than 18%
Transcribed Image Text:Kelly is a waitress and her average tip rate is 18%. After taking a sample of her tips from a week, she thinks her tip rate is actually higher. The data below is the tip rate for 15 randomly chosen checks (the numbers represent percentage). Assume that tip rates are normally distributed. 18.5 20 17.9 22 18 18.1 Ha: Select an answer a) Express the null and alternative hypotheses in symbolic form for this claim. Ho: Select an answer P value= b) What is the test statistic. Round to 2 decimals. Dont forget to indicate if it is z= or t=. c) What is the p-value. Round to 4 decimals 17 21.3 17.5 d) Make a decision based on a c = .05 O Reject the null O Do not reject the null 18.2 17.9 20 e) What is the conclusion? 15 19.6 18 O There is not sufficient evidence to support the claim that Kelly's average tip rate is greater than 18% O There is sufficient evidence to support the claim that Kelly's average tip rate is greater than 18%
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