Monica, a chef at a 5-star restaurant makes eight different desserts.  She wants to see if the customers prefer any specific dessert to another.  She keeps a record of desserts ordered over the course of several weeks, and the results are summarized in the table below. Is there sufficient evidence to conclude that the customers prefer some specific dessert to another? Use α=0.025   Dessert Frequency Chocolate Mousse 25 Baked Alaska 14 Orange Cheesecake 23 Caramel Flan 32 Banana Broulee 40 Mississippi Mud Pie 20 Ricotta Cannoli 38 French Walnut Torte 34 x =c(25,14,23,32,40,20,38,34)chisq.test(x) What is the null hypothesis? Answer 1 What is an appropriate alternative hypothesis? Answer 2 Compute the test value. Answer 3 Find the p-value. Answer 4 Is there sufficient evidence to support the alternative hypothesis?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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Monica, a chef at a 5-star restaurant makes eight different desserts.  She wants to see if the customers prefer any specific dessert to another.  She keeps a record of desserts ordered over the course of several weeks, and the results are summarized in the table below. Is there sufficient evidence to conclude that the customers prefer some specific dessert to another? Use α=0.025

 

Dessert

Frequency

Chocolate Mousse

25

Baked Alaska

14

Orange Cheesecake

23

Caramel Flan

32

Banana Broulee

40

Mississippi Mud Pie

20

Ricotta Cannoli

38

French Walnut Torte

34


x =c(25,14,23,32,40,20,38,34)chisq.test(x)

What is the null hypothesis?

Answer 1

What is an appropriate alternative hypothesis?

Answer 2

Compute the test value.

Answer 3

Find the p-value.

Answer 4

Is there sufficient evidence to support the alternative hypothesis?

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