A food services manager wants to know if there is a relationship between gender (male or female) and the preferred condiment on a hot dog. The following table summarizes the results. Test the hypothesis with a significance level of 1%.                           CONDIMENT           Ketchup Mustard Relish Total Male 15 23 10 48 Female 25 19 8 52 Total 40 42 18 100     State the hypotheses. What statistical test should be used to determine if there is a relationship between gender and the preferred hotdog condiment? Determine the appropriate critical value and set up the decision rule. Compute the test statistic. Interpret your results. Give your conclusion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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A food services manager wants to know if there is a relationship between gender (male or female) and the preferred condiment on a hot dog. The following table summarizes the results. Test the hypothesis with a significance level of 1%.

 

                       

CONDIMENT        

 

Ketchup

Mustard

Relish

Total

Male

15

23

10

48

Female

25

19

8

52

Total

40

42

18

100

 

 

  1. State the hypotheses.
  2. What statistical test should be used to determine if there is a relationship between gender and the preferred hotdog condiment?
  3. Determine the appropriate critical value and set up the decision rule.
  4. Compute the test statistic.
  5. Interpret your results.
  6. Give your conclusion.

 

 

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