Chapter 26, Problem 17E

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 17E

The p-value is 0.0001

Explanation of Solution

Given:

  

  ${\chi }^2$ = 14.87

The degrees of freedom are 1

The p-value = 0.0001

Using excel formula,

=CHIDIST(14.87,2)

c)

To determine

To state the conclusion.

Answer to Problem 17E

There is sufficient evidence to reject the claim of independence.

Explanation of Solution

Given:

  ${\chi }^2$ = 14.87

P-value = 0.0001

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

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