Question

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:

Test Statistic:

P-value:

Conclusion:

Does it appear that the die is loaded and behaves differently than a fair die?

Answer #1

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...

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?

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?

A gambler complained about the dice. They seemed to be loaded!
The dice were taken off the table and tested one at a time. One die
was rolled 300 times and the following frequencies were
recorded.
Outcome 1 2 3
4 5 6
Observed frequency O 60 44
59 34 46 57
Do these data indicate that the die is unbalanced? Use a 1% level
of significance. Hint: If the die is balanced, all outcomes should
have the same expected...

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...

Roulette USE SOFTWARE- In the
casino game of roulette there is a wheel with 19 black slots, 19
red slots, and 2 green slots. In the game, a ball is rolled around
a spinning wheel and it lands in one of the slots. It is assumed
that each slot has the same probability of getting the ball. This
results in the table of probabilities below.
Fair Table Probabilities
black
red
green
Probability
19/40
19/40
2/40
You watch the game at...

Suppose we test H0: μ = 42 versus the alternative
Ha: μ ≠ 42. The p-value for this test is
0.03, which is less than 0.05, so the null hypothesis will be
rejected.
Suppose that after this test, we form a 95% confidence interval
for μ. Which of the following intervals is the only possible
confidence interval for these data? (Hint: use chapter 13 and the
relationship between confidence intervals and hypothesis tests)
Question 10 options:
(35, 54)
(24, 79)...

Suppose we test H0: μ = 42 versus the alternative
Ha: μ ≠ 42. The p-value for this test is
0.03, which is less than 0.05, so the null hypothesis will be
rejected.
Suppose that after this test, we form a 95% confidence interval
for μ. Which of the following intervals is the only possible
confidence interval for these data? (Hint: use chapter 13 and the
relationship between confidence intervals and hypothesis tests)
Question 10 options:
(35, 54)
(24, 79)...

1) Use either the critical value or p-value method for testing
hypotheses.
2) Identify the null and alternative hypotheses, test statistic,
P-value (or range of P-values), and critical value(s).
3) State your final conclusion that addresses the original claim.
Include a confidence interval as well and restate this in your
original conclusion.
Two Polish math professors and their students spun a Belgian
euro coin 250 times. It landed on heads 140 times. One of the
professors concluded that the coin...

You may need to use the appropriate technology to answer this
question.
The following table contains observed frequencies for a sample
of 200.
Row
Variable
Column Variable
A
B
C
P
16
40
46
Q
34
30
34
Test for independence of the row and column variables using
α = 0.05.
State the null and alternative hypotheses.
H0: The column variable is independent of
the row variable.
Ha: The column variable is not independent of
the row variable. CORRECT!!
Find...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 11 minutes ago

asked 14 minutes ago

asked 27 minutes ago

asked 32 minutes ago

asked 34 minutes ago

asked 35 minutes ago

asked 41 minutes ago

asked 43 minutes ago

asked 46 minutes ago

asked 50 minutes ago

asked 55 minutes ago