c 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=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 0.02920.0292. ​(Type an integer or a decimal. Round to three decimal places as​ needed.) What does the​ p-value mean? A. The​ p-value is the probability of falsely rejecting the null hypothesis. Your answer is not correct. B. The​ p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true. This is the correct answer. C. The​ p-value is the probability that the null hypothesis is true. D. The​ p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples. c. Construct and interpret a 95​% confidence interval estimate for the difference between the proportion of males and females who said they prefer window tinting as a luxury upgrade. The confidence interval is enter your response here to enter your response here. ​(Type integers or decimals. Round to four decimal places as needed. Use ascending​ order.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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c 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=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
0.02920.0292.
​(Type an integer or a decimal. Round to three decimal places as​ needed.)
What does the​ p-value mean?
 
 
A.
The​ p-value is the probability of falsely rejecting the null hypothesis.
Your answer is not correct.
 
B.
The​ p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true.
This is the correct answer.
 
C.
The​ p-value is the probability that the null hypothesis is true.
 
D.
The​ p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples.
c. Construct and interpret a
95​%
confidence interval estimate for the difference between the proportion of males and females who said they prefer window tinting as a luxury upgrade.
 
The confidence interval is
enter your response here
to
enter your response here.
​(Type integers or decimals. Round to four decimal places as needed. Use ascending​ order.)
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