A fundraiser is offering a small gift to people making a donation. The donor can choose one of four gifts: a mug, a t-shirt, a plush toy, or a water bottle. The fundraiser would like to know if any of the gifts were more or less popular or were they equal in preference. The data for n = 40 donors are below: Mug T-Shirt Toy Bottle 6 18 12 4

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
A fundraiser is offering a small gift to people making a donation.  The donor can choose one of four gifts: a mug, a t-shirt, a plush toy, or a water bottle.  The fundraiser would like to know if any of the gifts were more or less popular or were they equal in preference.  The data for n = 40 donors are below:
Assuming all choices would be equally likely to be chosen, what would be the expected frequency (fe) for all groups?
O 40
O 25
O 10
O 13.2
QUESTION 4
Calculate chi-square (x)
O 12
O 3
O 6.4
O 40
QUESTION 5
What is the statistical decision that should be made from these data?
O fail to reject the null, there is not a significant preference for one or more gifts
O fail to reject the null, there is a significant preference for one or more gifts
O reject the null, there is not a significant preference for one or more gifts
O reject the null, there is a significant preference for one or more gifts
Transcribed Image Text:Assuming all choices would be equally likely to be chosen, what would be the expected frequency (fe) for all groups? O 40 O 25 O 10 O 13.2 QUESTION 4 Calculate chi-square (x) O 12 O 3 O 6.4 O 40 QUESTION 5 What is the statistical decision that should be made from these data? O fail to reject the null, there is not a significant preference for one or more gifts O fail to reject the null, there is a significant preference for one or more gifts O reject the null, there is not a significant preference for one or more gifts O reject the null, there is a significant preference for one or more gifts
A fundraiser is offering a small gift to people making a donation. The donor can choose one of four gifts: a mug, a t-shirt, a plush toy, or a water bottle. The
fundraiser would like to know if any of the gifts were more or less popular or were they equal in preference. The data for n = 40 donors are below:
Mug
T-Shirt
Toy
Bottle
6
18
12
Calculate the degrees of freedom (df) for chi-square.
O 39
О 36
O9
QUESTION 2
Using an a = .05, what is the critical value for chi-square (xcrit)?
O 7.81
O 12.84
O 55.76
O 9.49
QUESTION 3
Assuming all choices would be equally likely to be chosen, what would be the expected frequency (fe) for all groups?
O 40
O 25
O 10
O 13.2
Transcribed Image Text:A fundraiser is offering a small gift to people making a donation. The donor can choose one of four gifts: a mug, a t-shirt, a plush toy, or a water bottle. The fundraiser would like to know if any of the gifts were more or less popular or were they equal in preference. The data for n = 40 donors are below: Mug T-Shirt Toy Bottle 6 18 12 Calculate the degrees of freedom (df) for chi-square. O 39 О 36 O9 QUESTION 2 Using an a = .05, what is the critical value for chi-square (xcrit)? O 7.81 O 12.84 O 55.76 O 9.49 QUESTION 3 Assuming all choices would be equally likely to be chosen, what would be the expected frequency (fe) for all groups? O 40 O 25 O 10 O 13.2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps

Blurred answer
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