In a random sample of males, it was found that 23 write with their left hands and 217 do not. In a random sample of females, it was found that 73 write with their left hands and 459 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? A. H0: p1≤p2 H1: p1≠p2 B. H0: p1≥p2 H1: p1≠p2 C. H0: p1=p2 H1: p1>p2 D. H0: p1=p2 H1: p1≠p2 E. H0: p1≠p2 H1: p1=p2 F. H0: p1=p2 H1: p1
In a random sample of males, it was found that 23 write with their left hands and 217 do not. In a random sample of females, it was found that 73 write with their left hands and 459 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? A. H0: p1≤p2 H1: p1≠p2 B. H0: p1≥p2 H1: p1≠p2 C. H0: p1=p2 H1: p1>p2 D. H0: p1=p2 H1: p1≠p2 E. H0: p1≠p2 H1: p1=p2 F. H0: p1=p2 H1: p1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
In a random sample of males, it was found that
23
write with their left hands and
217
do not. In a random sample of females, it was found that
73
write with their left hands and
459
do not. Use a
0.01
significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below.a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of males and the second sample to be the sample of females. 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
Identify the test statistic.
z=enter your response here
(Round to two decimal places as needed.)
Identify the P-value.
P-value=enter your response here
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
the significance level of
the null hypothesis. There
evidence to support the claim that the rate of left-handedness among males is less than that among females.
▼
greater than
less than
α=0.01,
so
▼
fail to reject
reject
▼
is not sufficient
is sufficient
b. Test the claim by constructing an appropriate confidence interval.
The
98%
confidence interval is
enter your response here<p1−p2<enter your response here.
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits
there
to be a significant difference between the rates of left-handedness among males and females. There
evidence to support the claim that the rate of left-handedness among males is less than that among females.
▼
include only negative values,
include 0,
▼
appears
does not appear
▼
is not sufficient
is sufficient
c. Based on the results, is the rate of left-handedness among males less than the rate of left-handedness among females?
It
is not
reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females.It is reasonable to conclude that the rate of left-handedness among males is the same as the rate of left-handedness among females.
It
is
reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females.The assumptions required for the tests are not valid, so the results should not be used for inference.
Transcribed Image Text:In a random sample of males, it was found that 23 write with their left hands and 217 do not. In a random sample of females, it was found that 73 write with their left hands and 459 do not. Use a 0.01 significance level to test the claim that the rate of
left-handedness among males is less than that among females. Complete parts (a) through (c) below.
.....
a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test?
O A. Ho: P1 Sp2
H:P1 # P2
В. Но Р1 2 Р2
H1: P1 # P2
C. Ho: P1 = P2
H1: P1 > P2
O D. Ho: P1 = P2
H1: P1 # P2
O F. Ho: P1 = P2
H1: P1 <P2
E. Ho: P1 # P2
H1: P1 = P2
Identify the test statistic.
(Round to two decimal places
needed.)
Identify the P-value.
P-value =
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
the significance level of a = 0.01, so
the null hypothesis. There
V evidence to support the claim that the rate of left-handedness among males is less than that among females.
b. Test the claim by constructing an appropriate confidence interval.
The 98% confidence interval is< (P1 - P2) <U-
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits
there
to be a significant difference between the rates of left-handedness among males and females. There
V evidence to support the claim that
the rate of left-handedness among males is less than that among females.
c. Based on the results, is the rate of left-handedness among males less than the rate of left-handedness among females?
O A. It is not reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females.
B. It is reasonable to conclude that the rate of left-handedness among males is the same as the rate of left-handedness among females.
O C. It is reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females.
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