2 Conduct the hypothesis test and provide the test statistic

+++2++++

Conduct the hypothesis test and provide the test statistic, critical value and P-value, and state the conclusion. A person purchased a slot machine and tested it by playing it 1,191?

times. There are 10 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 ?2=20.122. Use a 0.025 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?

What is the test statistic_________ (Round to 4 decimal places)
What is the PValue_________(Round to 4 decimal places)

What is the Null Hypothesis_______

What is the research hyptothesis_______

Reject or fail to reject Null Hypothesis:________ because the P value is< or >

Solution

test statistic,X^2 = 20.122
n = 10
alpha,a = 0.025

test statistic,X^2 = 20.1220

Pvalue
degree of freedom = n-1 = 9
look in the chi distribution table in row 9, 20.122 lies between 19.02 and 21.67 whose column values are 0.025 and 0.010 hence
0.010 <P_value< 0.025

Null Hypothesis
actual outcomes agree with the expected frequencies

research hyptothesis
actual outcomes does not agree with the expected frequencies

because P_value < 0.025(=alpha) reject Null Hypothesis