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.    b. Find the​ p-value in​ (a) and interpret its meaning.   The​ p-value is _______ ​(Round to three decimal places as​ needed.)   Interpret the​ p-value.   The​ p-value is the probability that in a random sample of 946 ​adults, the difference between the proportions of males and females who said they prefer window tinting as a luxury upgrade will be _________ the difference in this​ sample, assuming that the proportion of males who said they prefer window tinting as a luxury upgrade is ________ the proportion for females in the population.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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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. 

 

b. Find the​ p-value in​ (a) and interpret its meaning.
 
The​ p-value is _______
​(Round to three decimal places as​ needed.)
 
Interpret the​ p-value.
 
The​ p-value is the probability that in a random sample of 946 ​adults, the difference between the proportions of males and females who said they prefer window tinting as a luxury upgrade will be _________
the difference in this​ sample, assuming that the proportion of males who said they prefer window tinting as a luxury upgrade is ________
the proportion for females in the population.
 
 
 
c. What is the answer to​ (b) if 57 males said they prefer window tinting as a luxury upgrade and 416 did​ not?
 
Calculate the new test statistic.
 
χ2STAT=________
​(Round to three decimal places as​ needed.)
Determine the new​ p-value.
 
The new​ p-value is _______
​(Round to three decimal places as​ needed.)
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