chas Google Drive My Drive GA random sample of 100 COS X O Math 21 Final Fall 2009 In Person Final /chasejamescanterbury/Dropbox/Online%20Final%20Exam%20F19.pdf 6. Test the claim that the percentage of male college students who work is greater than the percentage of female students who work at the 0.05 level of significance. In a sample of 66 males, 50 of them were working. A random sample of 81 females revealed that 49 worked. p-value: 0.0248) (Test Stat: 1.96 Have you proved that the percentage of male college students who work is greater than the percentage of female students who work? MacBook Air 20 F2 F3 F4 F5 )) F12 F6 F7 F8 F9 F10 F11 %23 24 9. delete { P. * CO

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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Answer the whole page for number six please.

chas
Google Drive
My Drive
GA random sample of 100 COS X
O Math 21 Final Fall 2009
In Person Final
/chasejamescanterbury/Dropbox/Online%20Final%20Exam%20F19.pdf
6. Test the claim that the percentage of male college students who work is greater than
the percentage of female students who work at the 0.05 level of significance.
In a sample of 66 males, 50 of them were working. A random sample of 81 females
revealed that 49 worked.
p-value: 0.0248)
(Test Stat: 1.96
Have you proved that the percentage of male college students who work is greater than
the percentage of female students who work?
MacBook Air
20
F2
F3
F4
F5
))
F12
F6
F7
F8
F9
F10
F11
%23
24
9.
delete
{
P.
* CO
Transcribed Image Text:chas Google Drive My Drive GA random sample of 100 COS X O Math 21 Final Fall 2009 In Person Final /chasejamescanterbury/Dropbox/Online%20Final%20Exam%20F19.pdf 6. Test the claim that the percentage of male college students who work is greater than the percentage of female students who work at the 0.05 level of significance. In a sample of 66 males, 50 of them were working. A random sample of 81 females revealed that 49 worked. p-value: 0.0248) (Test Stat: 1.96 Have you proved that the percentage of male college students who work is greater than the percentage of female students who work? MacBook Air 20 F2 F3 F4 F5 )) F12 F6 F7 F8 F9 F10 F11 %23 24 9. delete { P. * CO
Expert Solution
Step 1

Given that

Level of significance = 5%

Sample of 66 males 50 are working.

Sample of 81 females 49 are working.

Step 2

To prove that the percentage of male students working is greater than the female working students.

For this, we use two proportion z test.

Set up the hypothesis:

Null hypothesis H,: Pmk = Pg
emale
ale
Alternative hypothesis H : P
P.
female
male
Step 3

The test statistic is

Pmok - Pfemae
female
where,
50
Pmate = =0.7575
66
49
= 0.6049
81
Pjemole
Step 4

Where

50 + 49
P.
66 + 81
99
147
P. = 0.67
1- p. = 0.33
0.67(0.33) 0.67(0.33)
66
81
0.2211 0.2211
66
81
= V0.00335+0.00273
/0.00608
= 0.0779
maie
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