Practice Test B 1.3 Chi Square Test for Goodness of Fit (9/12/2023)
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Last updated over 2 years ago
10 questions
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A casino suspects that a patron is using “loaded” dice. They confiscate the dice and test them. They rolled one of them 600 times and got the following results:
Question 1
1.
Question 2
2.
Question 3
3.
How many degrees of freedom are there?
Question 4
4.
What is the level of significance (α) that we will always use in this class?
Question 5
5.
What is the critical value?
Question 6
6.
Question 7
7.
Calculate χ2. Use 2 decimal places.
Question 8
8.
Question 9
9.
Question 10
10.
Which of the following is the null hypothesis for this experiment?
No dice
The die is fair.
The die is unfair.
The dice do not have numbers on them
Which of the following is the null hypothesis for this experiment? (again)
There will be more of one number than others.
The proportion of rolls of each number are equal.
The chi square value will be below the critical value.
The proportion of die rolls of each of the six sides are not equal.
What is the decision rule?
If the chi-square value is less than the critical value, reject the null hypothesis.
If the chi-square value is less than the critical value, accept the null hypothesis.
If the chi-square value is greater than the critical value, reject the null hypothesis.
If the chi-square value is greater than the critical value, accept the null hypothesis.
Based on the chi square value, which of the following is the corresponding p-value?
p<0.005
0.005<p<0.01
0.01<p<0.05
0.05<p<0.10
0.10<p<0.20
0.20<p<0.30
0.30<p<0.50
0.50<p<0.70
0.70<p<0.80
0.08<p<0.95
p>0.95
Which of the following is the best conclusion?
Fail to reject the null hypothesis
Fail to reject the hypothesis
Reject the hypothesis
Accept the hypothesis
Accept the null hypothesis
Reject the null hypothesis
Which of the following is an accurate statement. Insert your calculated value for "<p-value>".
There is a <p-value> probability that the hypothesis is true.
There is a <p-value> probability that the null hypothesis is true.
If the hypothesis is true, there is a probability of <p-value> of obtaining results at least as extreme as our results.
If the null hypothesis is true, there is a probability of <p-value> of obtaining results at least as extreme as our results.
There isn't a <p-value> chance that the hypothesis isn't not false.
