Question

Conduct the hypothesis test and provide the test statistic, critical value and P-value, and state the conclusion.

A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it

200200

times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively:

2626 ,

2929 ,

4242 ,

4040 ,

2727 ,

3636.

Use a

0.0250.025

significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die?Click here to view the chi-square distribution table.

LOADING...

The test statistic is

nothing.

(Round to three decimal places as needed.)The critical value is

nothing.

(Round to three decimal places as needed.)The P-value is

nothing.

(Round to four decimal places as needed.)

State the conclusion.

▼

Upper H 0H0.

There

▼

sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes

▼

to be equally likely, so the loaded die

▼

appears

does not appear

to behave differently from a fair die.

Answer 1

Ans:

	fo	fe	(fo-fe)^2/fe
1	26	33.33	1.613
2	29	33.33	0.563
3	42	33.33	2.253
4	40	33.33	1.333
5	27	33.33	1.203
6	36	33.33	0.213
Total	200	200	7.180

Test statistic:

Chi square=7.180

df=6-1=5

critical chi square value=CHIINV(0.025,5)=12.833

p-value=CHIDIST(7.180,5)=0.2076

Fail to reject Ho.There is not sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes appears to be equally likely, so the loaded die does not appear to behave differently from a fair die.