For the following question, type the solutions to each part of the question in the space provided at the bottom of the question. Make sure you label each part of the question very carefully: A restaurant manager is interested in investigating whether the main course ordered and the dessert ordered are related. The table below shows the results of a survey.      Fish       Meat    Vegetarian Cake 88 88 60 Ice Cream 86 119 52 Pie 122 98 40  What can be concluded at the α = 0.05 significance level? a. What is the correct statistical test to use? b. What are the null and alternative hypotheses? H0:                                           H1: c. The test-statistic for this data is χ2 =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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For the following question, type the solutions to each part of the question in the space provided at the bottom of the question. Make sure you label each part of the question very carefully:

A restaurant manager is interested in investigating whether the main course ordered and the dessert ordered are related. The table below shows the results of a survey.

     Fish       Meat    Vegetarian
Cake 88 88 60
Ice Cream 86 119 52
Pie 122 98 40

 What can be concluded at the α = 0.05 significance level?

a. What is the correct statistical test to use?

b. What are the null and alternative hypotheses?
H0:                                           H1:

c. The test-statistic for this data is χ2 =

d. What is the p-value for this sample (correct to 4 decimal places)

e. Should the Null hypothesis be rejected or Not? Why?

f. State the conclusion of the test in the context of the problem

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