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Name: A police department released the numbers of calls for the different da
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Description: A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01 significance level to test the claim that the different days of the week have the same f

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT

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A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this analysis?

Day	Sun	Mon	Tues	Wed	Thurs	Fri	Sat
Frequency	153	206	226	245	178	215	231

Determine the null and alternative hypotheses.

Calculate the test statistic

x2:

(Round to three decimal places as needed.)

Expert Solution

Step 1

Given:

Level of significance $α$ = 0.01

k = 7

Formula Used:

$χ^{2}$ = $\sum_{}^{} \frac{{(O - E)}^{2}}{E}$

Where, O is the observed value

E is the expected value.

Expected value E = N $\times$ P_i

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