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

Expert verified

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

(b)The P-value will be greater than 0.20and 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

01

Part (a) Step 1:Given Information

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

02

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.

03

Part (b) Step 1:Given Information

We have been given that,

Chi-square value =6.62

Degree of freedom =6-1=5

04

Part (b) Step 2:Explanation

For chi-square value0.83the P-value is0.975

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

05

Part (c) Step 1:Given Information

We have been given that,

Chi-square value =6.62

Degree of freedom =6-1=5

06

Part (c) Step 2:Explanation

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

degree of freedom=6-1=5

We get the P-value =0.25

07

Part (d) Step 1:Given Information

We have been given that,

Chi-square value =6.62

Degree of freedom = 6-1=5

α=0.01

08

Part (d) Step 2:Explanation

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

Degree of freedom=6-1=5

α=0.01

We get the P-value =0.25

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