Chapter 26, Problem 18E

a)

To determine

To find the components of Chi-square test.

Explanation of Solution

Given:

  

Calculation:

Using excel,

  

b)

To determine

To find the p-value.

Answer to Problem 18E

The p-value is 0.0000

Explanation of Solution

Given:

  

  ${\chi }^2$ = 25.28

The degrees of freedom are 2

The p-value = 0.0000

Using excel formula,

=CHIDIST(25.28,2)

c)

To determine

To state the conclusion.

Answer to Problem 18E

There is sufficient evidence to reject the claim of independence.

Explanation of Solution

Given:

  ${\chi }^2$ = 25.28

P-value = 0.0000

Decision: The p-value< 0.05, reject H0.

Conclusion: There is sufficient evidence to reject the claim of independence.