z score and p value I have my work above

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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How would I find the z score and p value I have my work above
The director of student services at Oxnard College is interested in whether women are less likely to attend
orientation than men before they begin their coursework. A random sample of freshmen at Oxnard College
were asked what their gender is and whether they attended orientation. The results of the survey are
shown below:
+
F3
What can be concluded at the a= 0.01 level of significance?
For this study, we should use z-test for the difference between two population proportions
a. The null and alternative hypotheses would be:
F4
Ho: p1
p2
v
(please enter a decimal and note
that p1 and ul represent the proportion and mean for women and p2 and 2 represent the proportion and
mean for men.)
H₁: p1
b. The test statistic z
c. The p-value = 4940
d. The p-value is va
e. Based on this, we should fail to reject
f. Thus, the final conclusion is that ...
$
Data for Gender vs.
Orientation
Attendance
C
Yes 354
No
315
F5
Women Men
363
272
%
F6
The results are statistically insignificant at a = 0.01, so there is statistically significant
evidence to conclude that the population proportion of freshmen women at Oxnard College
who attend orientation is the same as the population proportion of freshmen men at Oxnard
CIL
MLI9
p2
= -0.015 x (please show your answer to 3 decimal places.)
x (Please show your answer to 4 decimal places.)
F7
✓✓the null hypothesis.
&
Q
F8
(Please enter a decimal)
8
*
F9
09
F10
-0:-
F11
0:+
F12
Prt
Transcribed Image Text:The director of student services at Oxnard College is interested in whether women are less likely to attend orientation than men before they begin their coursework. A random sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation. The results of the survey are shown below: + F3 What can be concluded at the a= 0.01 level of significance? For this study, we should use z-test for the difference between two population proportions a. The null and alternative hypotheses would be: F4 Ho: p1 p2 v (please enter a decimal and note that p1 and ul represent the proportion and mean for women and p2 and 2 represent the proportion and mean for men.) H₁: p1 b. The test statistic z c. The p-value = 4940 d. The p-value is va e. Based on this, we should fail to reject f. Thus, the final conclusion is that ... $ Data for Gender vs. Orientation Attendance C Yes 354 No 315 F5 Women Men 363 272 % F6 The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of freshmen women at Oxnard College who attend orientation is the same as the population proportion of freshmen men at Oxnard CIL MLI9 p2 = -0.015 x (please show your answer to 3 decimal places.) x (Please show your answer to 4 decimal places.) F7 ✓✓the null hypothesis. & Q F8 (Please enter a decimal) 8 * F9 09 F10 -0:- F11 0:+ F12 Prt
1) Ho = P₁ = P₂
H₁ = P₁ P2
x₁ = 354
X2=315
n₁=354+363 and n₂=315+ 272
=717
= 587
P₁ = x₁
ni
ê
-
n₂
=
354
717
315
587
= x₁ + x2
1₁+h2
(354 +315)
(717+587)
= 49372.
6
3366
Test Statistic
Z =
49372 +5366
√ (5130) (1 487) (1717 + =587)
.
.0429
pc.5130
669
1,304 9-1-2.487
Transcribed Image Text:1) Ho = P₁ = P₂ H₁ = P₁ P2 x₁ = 354 X2=315 n₁=354+363 and n₂=315+ 272 =717 = 587 P₁ = x₁ ni ê - n₂ = 354 717 315 587 = x₁ + x2 1₁+h2 (354 +315) (717+587) = 49372. 6 3366 Test Statistic Z = 49372 +5366 √ (5130) (1 487) (1717 + =587) . .0429 pc.5130 669 1,304 9-1-2.487
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