Question

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 appear that
the loaded die behaves differently than a fair die?

The test statistic is __________.

(Round to three decimal places as needed.)

The critical value is __________ .

(Round to three decimal places as needed.)

**State the conclusion.**

(1) __________ Ho . There (2) __________ sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes (3) __________ to be equally likely, so the loaded die (4) __________ to behave differently from a fair die.

(1) Do not reject

Reject

(2) is

is not

(3) appear

do not appear

(4) does not appear

appears

Answer #1

The author 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 1,2,3,4,5,6, respectively: 27, 31,
42, 40, 28, 32. Use a 0.05 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?

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 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...

A hole was drilled in a die and filled with lead. The die was
then rolled 360 times. The observed outcomes of 1,2,3,4,5,6
respectively, were 61,59,80,40,50, and 70. Use a .05 significance
level to test the claim that the outcomes are equally likely. Does
it appear that the loaded die behaves differently than a fair
die?

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
1,133times. 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...

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...

In this assignment, you will use the p-value method to draw
conclusions
During a game of chance, it is suspected that a die is not fair
and that it may be “loaded”. The die was rolled 200 times. Here are
the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6
respectively: 26, 30, 43, 41, 28, and 32.
Use a 0.05 significance level to test the claim that the
outcomes are not equally likely.
H0:
Ha:...

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...

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