Question

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

A person purchased a slot machine and tested it by playing it

1 comma 2511,251

times. There are

1010

different categories of​ outcomes, including no​ win, win​ jackpot, win with three​ bells, and so on. When testing the claim that the observed outcomes agree with the expected​ frequencies, the author obtained a test statistic of

chi squaredχ2equals=16.38316.383.

Use a

0.100.10

significance level to test the claim that the actual outcomes agree with the expected frequencies. Does the slot machine appear to be functioning as​ expected?Click here to view the chi-square distribution table.

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The test statistic is

nothing.

​(Type an integer or a decimal. Do not​ round.)

The critical value is

nothing.

​(Round to three decimal places as​ needed.)

State the conclusion.

▼

Reject

Do not reject

Upper H 0H0.

There

▼

is

is not

sufficient evidence to warrant rejection of the claim that the observed outcomes agree with the expected frequencies. The slot machine

▼

does not appear

appears

to be functioning as expected.

Answer 1

Solution:

We are given:

Therefore, the test statistic is:

The critical value is:

The critical value is found using significance level 0.10 and the degrees of freedom = n-1=10-1=9

State the conclusion.

Reject H0.There is sufficient evidence to warrant rejection of the claim that the observed outcomes agree with the expected frequencies. The slot machine does not appear to be functioning as expected.

Explanation: Because the test statistic value is greater than the chi-square critical value.