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Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.05 level of​ significance?

Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.05 level of​ significance?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
z stat please
 
A survey of
1000
adults from a certain region​ asked, "If purchasing a used car made certain upgrades or features more​ affordable, what would be your preferred luxury​ upgrade?" The results indicated that
58​%
of the females and
51​%
of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of
600
​females,
348
reported window tinting as their preferred luxury upgrade of​ choice, while of
400
​males,
204
reported window tinting as their preferred luxury upgrade of choice. Complete parts​ (a) through​ (d) below.
 
 
 
a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the
0.05
level of​ significance?
 
State the null and alternative​ hypotheses, where
π1
is the population proportion of females who said they prefer window tinting as a luxury upgrade and
π2
is the population proportion of males who said they prefer window tinting as a luxury upgrade.
 
 
A.
H0​:
π1=π2
H1​:
π1≠π2
Your answer is correct.
 
B.
H0​:
π1=π2
H1​:
π1>π2
 
C.
H0​:
π1≠π2
H1​:
π1=π2
 
D.
H0​:
π1≠π2
H1​:
π1<π2
 
E.
H0​:
π1≠π2
H1​:
π1>π2
 
F.
H0​:
π1=π2
H1​:
π1<π2
Determine the value of the test statistic.
 
ZSTAT=enter your response here
​(Type an integer or a decimal. Round to two decimal places as​ needed.)
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