From candy to jewelry to flowers, the average consumer was expected to spend $104.52 for Mother's Day in 2005, according to the Democrat & Chronicle article "Mom's getting more this year" (May 7, 2005). Local merchants thought this average was too high for their area. They contracted an agency to conduct a study. A random sample of 56 consumers was taken at a local shopping mall the Saturday before Mother's Day and produced a sample mean amount of $94.49. If a = $30, does the sample provide sufficient evidence to support the merchants' claim at the .05 significance level? (a) Find z. (Give your answer correct to two decimal places.) -2.50 (II) Find the p-value. (Give your answer correct to four decimal places.) .0401 (b) State the appropriate conclusion. O Reject the null hypothesis, there is not significant evidence to support the merchants' claim. O Reject the null hypothesis, there is significant evidence to support the merchants' claim. O Fall to reject the null hypothesis, there is significant evidence to support the merchants' claim. O Fall to reject the null hypothesis, there is not significant evidence to support the merchants' claim.

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
From candy to jewelry to flowers, the average consumer was expected to spend $104.52 for Mother's Day in 2005, according to the Democrat & Chronicle article "Mom's
getting more this year" (May 7, 2005). Local merchants thought this average was too high for their area. They contracted an agency to conduct a study. A random sample of
56 consumers was taken at a local shopping mall the Saturday before Mother's Day and produced a sample mean amount of $94.49. If o = $30, does the sample provide
sufficient evidence to support the merchants' claim at the .05 significance level?
(a) Find z. (Give your answer correct to two decimal places.)
-2.50
(II) Find the p-value. (Give your answer correct to four decimal places.)
.0401
(b) State the appropriate conclusion.
O Reject the null hypothesis, there is not significant evidence to support the merchants' claim.
O Reject the null hypothesis, there is significant evidence to support the merchants' clalm.
O Fail to reject the null hypothesis, there is significant evidence to support the merchants' claim.
O Fall to reject the null hypothesis, there is not significant evidence to support the merchants' claim.
Transcribed Image Text:From candy to jewelry to flowers, the average consumer was expected to spend $104.52 for Mother's Day in 2005, according to the Democrat & Chronicle article "Mom's getting more this year" (May 7, 2005). Local merchants thought this average was too high for their area. They contracted an agency to conduct a study. A random sample of 56 consumers was taken at a local shopping mall the Saturday before Mother's Day and produced a sample mean amount of $94.49. If o = $30, does the sample provide sufficient evidence to support the merchants' claim at the .05 significance level? (a) Find z. (Give your answer correct to two decimal places.) -2.50 (II) Find the p-value. (Give your answer correct to four decimal places.) .0401 (b) State the appropriate conclusion. O Reject the null hypothesis, there is not significant evidence to support the merchants' claim. O Reject the null hypothesis, there is significant evidence to support the merchants' clalm. O Fail to reject the null hypothesis, there is significant evidence to support the merchants' claim. O Fall to reject the null hypothesis, there is not significant evidence to support the merchants' claim.
Expert Solution
steps

Step by step

Solved in 2 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
  • SEE MORE 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