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 1,133times. There are 10 different categories of outcomes, including no win, win jackpot, win with threebells, 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=11.557. Use a 0.10 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?

Answer #1

Solution:

Here, we have to use Chi square test for goodness of fit.

Null hypothesis: H_{0}: The slot machine appears to be
functioning as expected.

Alternative hypothesis: H_{a}: The slot machine do not
appears to be functioning as expected.

We are given

Number of categories = N = 10

Degrees of freedom = N – 1 = 9

Level of significance = α = 0.10

Critical Value = 14.68366

(by using Chi square table)

Test statistic = Chi square = 11.557

Test statistic value < Critical value

So, we do not reject the null hypothesis

P-value = 0.239451

(by using Chi square table)

P-value > α = 0.10

So, we do not reject the null hypothesis

There is sufficient evidence to conclude that the slot machine appears to be functioning as expected.

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 1781,178 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=12.007 Use a 0.05 significance level to...

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 1,294 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 chi squared χ2=16.414 Use a 0.10
significance level to test the...

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
1,294 times. There are10 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=16.781
Use a 0.10 significance level to test the claim...

Conduct the hypothesis test and provide the test statistic and
the critical 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 200 times. Here are the observed
frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively:
28, 27, 40, 38, 26, 41. Use a 0.01 significance level to test the
claim that the outcomes are not equally likely. Does it...

Conduct the hypothesis test and provide the test statistic and
the critical value, and state the conclusion. A person randomly
selected 100 checks and recorded the cents portions of those
checks. The table below lists those cents portions categorized
according to the indicated values. Use a 0.10 significance level to
test the claim that the four categories are equally likely. The
person expected that many checks for whole dollar amounts would
result in a disproportionately high frequency for the first...

Conduct the hypothesis test and provide the test statistic and
the critical value, and state the conclusion.
A person randomly selected
100
checks and recorded the cents portions of those checks. The
table below lists those cents portions categorized according to the
indicated values. Use a
0.025
significance level to test the claim that the four categories
are equally likely. The person expected that many checks for whole
dollar amounts would result in a disproportionately high frequency
for the first...

Conduct the hypothesis test and provide the test statistic and
the critical value, and state the conclusion. A person randomly
selected 100 checks and recorded the cents portions of those
checks. The table below lists those cents portions categorized
according to the indicated values. Use a 0.025 significance level
to test the claim that the four categories are equally likely. The
person expected that many checks for whole dollar amounts would
result in a disproportionately high frequency for the first...

Conduct the hypothesis test and provide the test statistic and
the critical value, and state the conclusion. A person randomly
selected 100 checks and recorded the cents portions of those
checks. The table below lists those cents portions categorized
according to the indicated values. Use a 0.10 significance level to
test the claim that the four categories are equally likely. The
person expected that many checks for whole dollar amounts would
result in a disproportionately high frequency for the first...

Conduct the hypothesis test and provide the test statistic and
the critical value, and state the conclusion. A person randomly
selected 100100 checks and recorded the cents portions of those
checks. The table below lists those cents portions categorized
according to the indicated values. Use a 0.100.10 significance
level to test the claim that the four categories are equally
likely. The person expected that many checks for whole dollar
amounts would result in a disproportionately high frequency for the
first...

Conduct the hypothesis test and provide the test statistic and
the critical value, and state the conclusion. A person randomly
selected 100 checks and recorded the cents portions of those
checks. The table below lists those cents portions categorized
according to the indicated values. Use a 0.05 significance level to
test the claim that the four categories are equally likely. The
person expected that many checks for whole dollar amounts would
result in a disproportionately high frequency for the first...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 16 minutes ago

asked 20 minutes ago

asked 24 minutes ago

asked 34 minutes ago

asked 45 minutes ago

asked 45 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago