Question

You roll a die 48 times with the following results. Use a significance level of 0.05 to test the claim that the die is fair.

number: 1, 2, 3, 4, 5, 6

frequency: 2,4,12,13,14,3

test statistic

critical value

accept or reject

Answer #1

You roll a die 48 times with the following results. Use a 0.05
significance level to test the claim that the die used is fair. Use
traditional method
NUMBER
FREQUENCY
1
13
2
3
3
12
4
15
5
2
6
3

You wish to test the claim that a die is fair. You roll it 60
times with the following results. Number 1 2 3 4 5 6 Frequency 13
17 15 6 4 5 Find the value of the chi-square test statistic.

A die is suspected of being biased. It is rolled 24 times with
the following results:
Outcome
1
2
3
4
5
6
Total
Outcome Probability
1/6
1/6
1/6
1/6
1/6
1/6
1
Expected Frequency
A
B
C
D
E
F
24
Observed Frequency
8
4
1
8
3
0
24
1) Conduct a significance test at a significant level of 5% to
see if the die is biased.
A die is not biased if the probability of each of...

A four-sided die is rolled 90 times; the results are in the
table below. Conduct a hypothesis test to determine if there is
evidence that the die is unfair/weighted.
Face Value
Frequency
1
24
2
28
3
22
4
16
Which pair of hypotheses is correct?
A) Ho: The distribution is
U(4).
Ha: The distribution is not
U(4).
B) Ho: The die is fair.
Ha: The die is not fair.
C) Ho: The probability of...

#2) A six-sided die is rolled 120 times. The
data in the following table shows the results for 120
rolls:
Number of dots facing up
Frequency
Expected frequency
1
15
2
29
3
16
4
15
5
30
6
15
Fill in the expected frequencies
Use the data given to test the claim that the die is
fair (i.e. that the probabilities for each value are the...

Part a.
a die rolled 53 times generated these results
numbers
1
2
3
4
5
6
Frequency
5
9
5
8
17
9
Using a significance level of .01 test the claim that the die is
fair and state the p value.
Part B
Which of the following is the appropriate hypothesis test to
answer the question of part a?
2-Sample T Test
2 Prop Z Test
2 Samp Z Test
Z Test
T Test
1 Prop Z Test...

You wish to test the following claim a significance level of α =
0.05 . H o : p = 0.24 H a : p < 0.24 You obtain a sample of size
n = 160 in which there are 26 successful observations. What is the
test statistic for this sample? test statistic = Round to 3 decimal
places. What is the p-value for this sample? P-value = Use
Technology Round to 4 decimal places. The p-value is... less than...

Assume you toss a die 20 times and get the following values:
1,1,3,5,6,3,2,1,3,6,5,2,3,6,5,4,2,3,4,1
Use a Chi square test to check if it is a fair die or
no.
P-value is 0.05, use excel and consider the following
cases.
1- number of bins is 6
2-number of bins is 3

if you roll a fair die 7 times, find the probability that you
never roll a number smaller than 6

A student rolled a supposedly fair die 60 times, resulting in
the distribution of dots shown. Research question: At
α = .10, can you reject the hypothesis that the die is
fair?
Number of Dots
1
2
3
4
5
6
Total
Frequency
9
16
11
12
6
6
60
Calculate the chi-square test statistic, degrees of freedom and
the p-value. (Round your test statistic value to 2
decimal places and the p-value to 4 decimal
places.)

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