need C and D please A restaurant manager is interested in investigating whether the main course ordered and the dessertordered are related. The table below shows the results of a survey.Frequencies of Food Preference andDessert TypesFish Meat Vegetarian8389481146043CakeIce Cream 63Pie108 108What can be concluded at the α = 0.01 significance level?a. What is the correct statistical test to use?O Paired t-testIndependenceGoodness-of-FitHomogeneityb. What are the null and alternative hypotheses?Ho:O Main course and dessert are independent.The distribution of dessert orders is the same for each main course that is ordered.The distribution of dessert orders is not the same for each main course that is ordered.O Main course and dessert are dependent.H₁:Main course and dessert are independent.The distribution of dessert orders is not the same for each main course that is ordered.Main course and dessert are dependent.The distribution of dessert orders is the same for each main course that is ordered.c. The test-statistic for this data =(Please show your answer to three decimal places.)d. The p-value for this sample=(Please show your answer to four decimal places.)

Given Information:Fish MeatVegetarianTotalCake838948220Ice-cream6311460237Pie10810843259Total254311151716c.Test statistic are given by the formula:Expected frequencies are calculated as follows:Fish MeatVegetarianCakeIce-creamPieCalculation of the test statistic:d)Degrees of freedom :Using Excel function "=CHISQ.DIST.RT(14.780,4)'', the p-value obtained is 0.0052.c)Test statistic = 14.780d)p value = 0.0052

Answered: A restaurant manager is interested in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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need C and D please

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.
Frequencies of Food Preference and
Dessert Types
Fish Meat Vegetarian
83
89
48
114
60
43
Cake
Ice Cream 63
Pie
108 108
What can be concluded at the α = 0.01 significance level?
a. What is the correct statistical test to use?
O Paired t-test
Independence
Goodness-of-Fit
Homogeneity
b. What are the null and alternative hypotheses?
Ho:
O Main course and dessert are independent.
The distribution of dessert orders is the same for each main course that is ordered.
The distribution of dessert orders is not the same for each main course that is ordered.
O Main course and dessert are dependent.
H₁:
Main course and dessert are independent.
The distribution of dessert orders is not the same for each main course that is ordered.
Main course and dessert are dependent.
The distribution of dessert orders is the same for each main course that is ordered.
c. The test-statistic for this data =
(Please show your answer to three decimal places.)
d. The p-value for this sample
=
(Please show your answer to four decimal places.)

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Transcribed Image Text:A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people wear are associated. The table below shows the results of a survey. Frequencies of Religions and Sneakers Nike Adidas Other 80 120 51 88 Jewish 15 25 Other 66 94 What can be concluded at the a = 0.01 significance level? Protestant 84 Catholic 61 20 63 a. What is the correct statistical test to use? Homogeneity O Paired t-test Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: O Sneaker brand and religious affiliation are dependent. Sneaker brand and religious affiliation are independent. The distribution of sneaker brand is the same for each religion. O The distribution of sneaker brand is not the same for each religion. H₁: Sneaker brand and religious affiliation are dependent. O The distribution of sneaker brand is the same for each religion. O Sneaker brand and religious affiliation are independent. O The distribution of sneaker brand is not the same for each religion. c. The test-statistic for this data = d. The p-value for this sample (Please show your answer to three decimal places.) (Please show your answer to four decimal places.)

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