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   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​:

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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
 
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​:
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