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 to the right summarizes the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings.  The table also appears in the Lottery worksheet of the Chp 12 HW Problems data workbook on Moodle.   a) What is the appropriate null and alternate hypothesis to determine if the digits are not random?   b) Choose a level of a  Use a = 0.05 for this problem.  c) Sketch the sampling distribution.  Include the critical value and test statistic  d) Draw a conclusion for the hypothesis test.  Make sure you state your conclusion in the context of the problem.  e) What is the p-value for the hypothesis test.

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
Question

2)  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 to the right summarizes the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings.  The table also appears in the Lottery worksheet of the Chp 12 HW Problems data workbook on Moodle.   a) What is the appropriate null and alternate hypothesis to determine if the digits are not random?   b) Choose a level of a  Use a = 0.05 for this problem.  c) Sketch the sampling distribution.  Include the critical value and test statistic  d) Draw a conclusion for the hypothesis test.  Make sure you state your conclusion in the context of the problem.  e) What is the p-value for the hypothesis test.

 

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
26
<
Ready
A
Digit
0
123456789
Total
>
f₁: Observed
33
17
25
30
31
36°F
Cloudy
28
24
25
32
25
270
Cosmo Lottery Cola Noodles
Accessibility: Good to go
Earnings
D
H
Q Search
K
M
I
Y
میں
a
ENG ņ
2:28 PM
2/11/2024
100%
Transcribed Image Text:1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 26 < Ready A Digit 0 123456789 Total > f₁: Observed 33 17 25 30 31 36°F Cloudy 28 24 25 32 25 270 Cosmo Lottery Cola Noodles Accessibility: Good to go Earnings D H Q Search K M I Y میں a ENG ņ 2:28 PM 2/11/2024 100%
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
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