Question

Last candy Refer to Exercises 27 and 29.

a. Verify that the conditions for inference are met.

b. Use Table C to find the P-value. Then use your calculator’s χ2 cdf command.

c. Interpret the P-value from the calculator.

d. What conclusion would you draw using α=$0.01$?

Short answer

(a)Yes, the conditions for inference are met.

(b)The P-value will be greater than $0.20$and less than $0.975$.

(c)The P-value from the calculator =$0.25$

(d)Conclusion drawn using α=$0.01$ is that there is no difference in the P-value from calculator.

Step-by-step solution

Part (a) Step 1:Given Information

We have been given to verify the conditions used for inference in chi-square test.

Part (a) Step 2:Explanation

The expected value of the number of sample observations in each level of the variable is atleast $5$.

In this case,all the expected value is greater than $5$.

So,the conditions for inference are met.

Part (b) Step 1:Given Information

We have been given that,

Chi-square value =$6.62$

Degree of freedom =$6-1=5$

Part (b) Step 2:Explanation

For chi-square value$0.83$the P-value is$0.975$

For chi-square value $7.29$ the P-value is $0.20$

So,for chi-square value $6.62$,the P-value lies between $0.20and0.975$

Part (c) Step 1:Given Information

We have been given that,

Chi-square value =$6.62$

Degree of freedom =$6-1=5$

Part (c) Step 2:Explanation

In calculator, give the value of chi-square =$6.62$and

degree of freedom=$6-1=5$

We get the P-value =$0.25$

Part (d) Step 1:Given Information

We have been given that,

Chi-square value =$6.62$

Degree of freedom = $6-1=5$

$\alpha =0.01$

Part (d) Step 2:Explanation

In calculator, give the value of chi-square =$6.62$and

Degree of freedom=$6-1=5$

$\alpha =0.01$

We get the P-value =$0.25$