You are to test a 6-sided die to see if it is really fair. Perform a goodness-of-fit test on the dataset below which includes the number of rolls that turned up each face value. face: 1 2 3 4 5 16 count: 13 17 14 22 18 16 Test the hypothesis that the die is fair against the alternative that it is not fair at significance level =0.05: Ho: all faces come up 1/6 of the time (the die is fair) Ha: not all faces come up 1/6 of the time (the die is not fair) Select the answer that is correct. O Test statistic: c = 0.1848 p-value: p = 0.9993 Do not reject the null hypothesis, our data is not evidence that the die is unfair. O Test statistic: c = 3.08 p-value: p = 0.6877 Do not reject the null hypothesis, our data is not evidence that the die is unfair. O Test statistic: c = 3.08 p-value: p = 0.0069 Reject the null hypothesis, our data is evidence that the die is unfair. O none of these O Test statistic: c = 3.08 p-value: p = 0.3123 Do not reject the null hypothesis, our data is not evidence that the die is unfair. Test statistic: c = 3.08 p-value: p = 0.7987 Do not reject the null hypothesis, our data is not evidence that the die is unfair.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
You are to test a 6-sided die to see if it is really fair. Perform a goodness-of-fit test on the dataset below which includes the
number of rolls that turned up each face value.
face:
1
2
3
5
16
count: 13
17
14
22
18
16
Test the hypothesis that the die is fair against the alternative that it is not fair at significance level
a = 0.05.
Ho: all faces come up 1/6 of the time (the die is fair)
Ha: not all faces come up 1/6 of the time (the die is not fair)
Select the answer that is correct.
O Test statistic: c = 0.1848
p-value: p = 0.9993
Do not reject the null hypothesis, our data is not evidence that the die is unfair.
O Test statistic: c = 3.08
p-value: p = 0.6877
Do not reject the null hypothesis, our data is not evidence that the die is unfair.
Test statistic: c = 3.08
p-value: p = 0.0069
Reject the null hypothesis, our data is evidence that the die is unfair.
O none of these
O Test statistic: c = 3.08
p-value: p = 0.3123
Do not reject the null hypothesis, our data is not evidence that the die is unfair.
O Test statistic: c = 3.08
p-value: p = 0.7987
Do not reject the null hypothesis, our data is not evidence that the die is unfair.
Transcribed Image Text:You are to test a 6-sided die to see if it is really fair. Perform a goodness-of-fit test on the dataset below which includes the number of rolls that turned up each face value. face: 1 2 3 5 16 count: 13 17 14 22 18 16 Test the hypothesis that the die is fair against the alternative that it is not fair at significance level a = 0.05. Ho: all faces come up 1/6 of the time (the die is fair) Ha: not all faces come up 1/6 of the time (the die is not fair) Select the answer that is correct. O Test statistic: c = 0.1848 p-value: p = 0.9993 Do not reject the null hypothesis, our data is not evidence that the die is unfair. O Test statistic: c = 3.08 p-value: p = 0.6877 Do not reject the null hypothesis, our data is not evidence that the die is unfair. Test statistic: c = 3.08 p-value: p = 0.0069 Reject the null hypothesis, our data is evidence that the die is unfair. O none of these O Test statistic: c = 3.08 p-value: p = 0.3123 Do not reject the null hypothesis, our data is not evidence that the die is unfair. O Test statistic: c = 3.08 p-value: p = 0.7987 Do not reject the null hypothesis, our data is not evidence that the die is unfair.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman