Thanksgiving Travel According to the American Automobile Association, 31 million Americans travel over the Thanksgiving holiday. To determine whether to stay open or not, a national restaurant chain surveyed 125 customers at each of four locations to see if they would be traveling over the holiday. The results are shown here. At α=0.01, test the claim that the proportions of Americans who will travel over the Thanksgiving holiday are equal. Use the P-value method. Location A Location B Location C Location D Total Will travel 39 50 45 48 182 Will not travel 86 75 80 77 318 Total 125 125 125 125 500 1. Identify the claim with the correct hypothesis. H0: p1=p2=p3=p4 ▼(CLAIM or NOT CLAIM?) H1: At least one proportion is different from the others. ▼(CLAIM or NOT CLAIM?) 2. Find the critical value 3. Compute the test value: X^2= 4. Reject or Do not reject the null hypothesis 5.Summarize: Is there or is there not enough evidence to reject the claim? Is there or is there not enough evidence to support the claim?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 8PPS
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Thanksgiving Travel According to the American Automobile Association, 31 million Americans travel over the Thanksgiving holiday. To determine whether to stay open or not, a national restaurant chain surveyed 125 customers at each of four locations to see if they would be traveling over the holiday. The results are shown here. At α=0.01, test the claim that the proportions of Americans who will travel over the Thanksgiving holiday are equal. Use the P-value method.

  Location A Location B Location C Location D Total
Will travel
39
50
45
48
182
Will not travel
86
75
80
77
318
Total
125
125
125
125
500

 

1. Identify the claim with the correct hypothesis.

H0: p1=p2=p3=p4 ▼(CLAIM or NOT CLAIM?)
H1: At least one proportion is different from the others. ▼(CLAIM or NOT CLAIM?)

 

2. Find the critical value

3. Compute the test value: X^2=

4. Reject or Do not reject the null hypothesis

5.Summarize:
Is there or is there not enough evidence to reject the claim?
Is there or is there not enough evidence to support the claim?

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