In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros. e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings. Digit 1 2 3 4 5 6 7 8 9 Total Frequency 18 15 26 30 30 21 30 34 35 31 270 picture Click here for the Excel Data File (0) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Perform a uniform goodness-of-fit test. Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.) Test statistic Degrees of freedom p-value
In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros. e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings. Digit 1 2 3 4 5 6 7 8 9 Total Frequency 18 15 26 30 30 21 30 34 35 31 270 picture Click here for the Excel Data File (0) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Perform a uniform goodness-of-fit test. Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.) Test statistic Degrees of freedom p-value
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros.
e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings.
Digit
1
2
3
4
5
6
7
8
9
Total
Frequency
18
15
26
30
30
21
30
34
35
31
278
picture Click here for the Excel Data File
(a) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Perform a uniform goodness-of-fit test. Round your
test statistic value to 2 decimal places and the p-value to 4 decimal places.)
Test statistic
Degrees of freedom
p-value
(b) Choose the correct answer by drawing a bar chart for the above data.
O The graph will reveal that 1 occurs least frequently.
O The graph will reveal that 2 occurs least frequently.
O The graph will reveal that 8 occurs least frequently.
O The graph will reveal that 9 occurs least frequently.
(c) At a = .01, we cannot reject the hypothesis that the digits are from a uniform population.
O True
O False
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 2 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman