In a random sample of males, it was found that 27 write with their left hands and 210 do not. In a random sample of females, it was found that 55 write with their left hands and 454 do not. Use a 0.05 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. Question content area bottom Part 1 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
In a random sample of males, it was found that 27 write with their left hands and 210 do not. In a random sample of females, it was found that 55 write with their left hands and 454 do not. Use a 0.05 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. Question content area bottom Part 1 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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
Related questions
Question
In a random sample of males, it was found that
27
write with their left hands and
210
do not. In a random sample of females, it was found that
55
write with their left hands and
454
do not. Use a
0.05
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.Question content area bottom
Part 1
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
Part 2
Identify the test statistic.
z=enter your response here
(Round to two decimal places as needed.)
Part 3
Identify the P-value.
P-value=enter your response here
(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
evidence to support the claim that the rate of left-handedness among males is less than that among females.
▼
less than
greater than
α=0.05,
so
▼
reject
fail to reject
▼
is not sufficient
is sufficient
Part 5
b. Test the claim by constructing an appropriate confidence interval.
The
90%
confidence interval is
enter your response here<p1−p2<enter your response here.
(Round to three decimal places as needed.)
Part 6
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,
▼
does not appear
appears
▼
is sufficient
is not sufficient
Part 7
c. Based on the results, is the rate of left-handedness among males less than the rate of left-handedness among females?
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