A poll asked 946 adults​ "If purchasing a used car made certain upgrades or features more​ affordable, what would be your preferred luxury​ upgrade? The results indicated that 8​% of the males and 17​% of the females answered window tinting. The poll description did not state the sample sizes of males and females. Suppose that both sample sizes were 473 and that 40 of 473 males and 80 of 473 females reported window tinting as their preferred luxury upgrade of choice.    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 0.01 level of​ significance?   Let group 1 be the​ males, and let group 2 be the females. State the null and alternative hypotheses. Choose the correct answer below.     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​: π1≤π2   Calculate the test statistic.   χ2STAT= _______ ​(Round to three decimal places as​ needed.) Determine the critical value.   The critical value is _______ ​(Round to three decimal places as​ needed.)

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A poll asked 946 adults​ "If purchasing a used car made certain upgrades or features more​ affordable, what would be your preferred luxury​ upgrade? The results indicated that 8​% of the males and 17​% of the females answered window tinting. The poll description did not state the sample sizes of males and females. Suppose that both sample sizes were 473 and that 40 of 473 males and 80 of 473 females reported window tinting as their preferred luxury upgrade of choice. 

 

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 0.01 level of​ significance?
 
Let group 1 be the​ males, and let group 2 be the females. State the null and alternative hypotheses. Choose the correct answer below.
 
 
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​:
π1≤π2
 
Calculate the test statistic.
 
χ2STAT= _______
​(Round to three decimal places as​ needed.)
Determine the critical value.
 
The critical value is _______
​(Round to three decimal places as​ needed.)
 
 
 
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