Answer the whole page for number six please. chasGoogle DriveMy DriveGA random sample of 100 COS XO Math 21 Final Fall 2009In Person Final/chasejamescanterbury/Dropbox/Online%20Final%20Exam%20F19.pdf6. Test the claim that the percentage of male college students who work is greater thanthe 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 femalesrevealed that 49 worked.p-value: 0.0248)(Test Stat: 1.96Have you proved that the percentage of male college students who work is greater thanthe percentage of female students who work?MacBook Air20F2F3F4F5))F12F6F7F8F9F10F11%23249.delete{P.* CO

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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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

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

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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