find p value and its meaning 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...


find p value and its meaning 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<>






E.



H0​:

π1≠π2


H1​:

π1>π2






F.



H0​:

π1=π2


H1​:

π1<>





Determine the value of the test statistic.



ZSTAT=2.182.18

​(Type an integer or a decimal. Round to two decimal places as​ needed.)

Determine the critical​ value(s) for this test of hypothesis.


The critical​ value(s) is​ (are)
negative 1.96 comma 1.96−1.96, 1.96.


​(Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

State the conclusion.






Reject





the null hypothesis. There is



sufficient





evidence to support the claim that there is a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade.

b. Find the​ p-value in​ (a) and interpret its meaning.


The​ p-value in part​ (a) is
enter your response here.


​(Type an integer or a decimal. Round to three decimal places as​ needed.)


Jun 08, 2022
SOLUTION.PDF

Get Answer To This Question

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here