A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of 55, 71 dream in black and white, and among 288 people under the age of 25, 14 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. Question content area bottom Part 1 a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? A. H0: p1=p2 H1: p1p2 Your answer is correct. F. H0: p1=p2 H1: p1≠p2 Part 2 Identify the test statistic. z=6.106.10 (Round to two decimal places as needed.) Part 3 Identify the P-value. P-value=0.00000.0000 (Round to three decimal places as needed.) Part 4 What is the conclusion based on the hypothesis test? The P-value is less than the significance level of α=0.05, so reject the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Part 5 b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is --
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of 55, 71 dream in black and white, and among 288 people under the age of 25, 14 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. Question content area bottom Part 1 a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? A. H0: p1=p2 H1: p1p2 Your answer is correct. F. H0: p1=p2 H1: p1≠p2 Part 2 Identify the test statistic. z=6.106.10 (Round to two decimal places as needed.) Part 3 Identify the P-value. P-value=0.00000.0000 (Round to three decimal places as needed.) Part 4 What is the conclusion based on the hypothesis test? The P-value is less than the significance level of α=0.05, so reject the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Part 5 b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is --
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among
323
people over the age of 55,
71
dream in black and white, and among
288
people under the age of 25,
14
dream in black and white. Use a
0.05
significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below.Question content area bottom
Part 1
a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test?
H0:
p1=p2
H1:
p1<p2
H0:
p1≥p2
H1:
p1≠p2
H0:
p1≠p2
H1:
p1=p2
H0:
p1≤p2
H1:
p1≠p2
H0:
p1=p2
H1:
p1>p2
H0:
p1=p2
H1:
p1≠p2
Part 2
Identify the test statistic.
z=6.106.10
(Round to two decimal places as needed.)
Part 3
Identify the P-value.
P-value=0.00000.0000
(Round to three decimal places as needed.)
Part 4
What is the conclusion based on the hypothesis test?
The P-value is
the significance level of
the null hypothesis. There is
evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25.
less than
α=0.05,
so
reject
sufficient
Part 5
b. Test the claim by constructing an appropriate confidence interval.
The
90%
confidence interval is --<p1−p2< only need part b
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 1 images
