Question
In: Statistics and Probability
Conduct the hypothesis test and provide the test statistic and the critical value, and state the...
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.
LOADING...
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.
Solutions
Expert Solution
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.
orchestra answered 1 year agoRelated Solutions
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