Tasty Pizza Ltd desires to know if the size of the pizzas order by their customers depends on the toppings chosen. Data was gathered for the last 300 customers and the results obtained using MINITAB are shown below: i. Define the null and alternative hypotheses of the χ2 test for the above output. ii. Find the missing values ‘*’, ‘**’, ‘***’ iii. What is the degree of freedom for this 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
Topic Video
Question

Tasty Pizza Ltd desires to know if the size of the pizzas order by their customers depends on the toppings chosen. Data was gathered for the last 300 customers and the results obtained using MINITAB are shown below:

 

i. Define the null and alternative hypotheses of the χ2 test for the above output. 
ii. Find the missing values ‘*’, ‘**’, ‘***’
iii. What is the degree of freedom for this test? 
iv. Estimate the p-value for this test. 
v. State the conclusion for the test. Give reason for your answer.

Expected counts are printed below observed counts
Small
Medium
Large
All
23
32
34
Cheese
26.403
31.743
30.853
89
34
35
36
Tuna
31.150
36.400
**
105
32
40
34
Реpperoni
31.447
37.807
36.747
All
89
107
104
300
Chi-sq
0.43868 +
*** +
0.76168 +
0.260754+
0.16028 +
0.004396 +
0.009736 +
0.12725 +
0.205302
1.5293
Transcribed Image Text:Expected counts are printed below observed counts Small Medium Large All 23 32 34 Cheese 26.403 31.743 30.853 89 34 35 36 Tuna 31.150 36.400 ** 105 32 40 34 Реpperoni 31.447 37.807 36.747 All 89 107 104 300 Chi-sq 0.43868 + *** + 0.76168 + 0.260754+ 0.16028 + 0.004396 + 0.009736 + 0.12725 + 0.205302 1.5293
Expert Solution
steps

Step by step

Solved in 4 steps

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