The director of student services at Oxnard College is interested in whether women are just as likely to attend orientation as 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: Data for Gender vs. Orientation Attendance Women Men Yes 355 395 No 247 239 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: Ho: p1 v D2 that p1 and ul represent the proportion and mean for women and p2 and µ2 represent the proportion and vv (please enter a decimal and note mean for men.) H1: p1 p2 vv (Please enter a decimal) b. The test statistic z v 0.61 (please show your answer to 3 decimal places.) c. The p-value =0.2309 V (Please show your answer to 4 decimal places.) d. The p-value is >vV a e. Based on this, we should fail to reject the null hypothesis. of f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population proportion of freshmen women at Oxnard College who attend orientation is different from the population proportion of freshmen men at Oxnard College who attend orientation. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population proportion of freshmen women at Oxnard College who attend orientation is different from the population proportion of freshmen men at Oxnard College who attend orientation. O 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 College who attend orientation. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the proportion of the 602 freshmen women who attended orientation is different from the proportion of the 634 freshmen men who attended orientation.

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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Question
The director of student services at Oxnard College is interested in whether women are just as likely to
attend orientation as 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:
Data for Gender vs.
Orientation
Attendance
Women Men
Yes
355
395
No 247
239
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
of
a. The null and alternative hypotheses would be:
Но: р1
vV (please enter a decimal and note
p2
that p1 and ul represent the proportion and mean for women and p2 and u2 represent the proportion and
mean for men.)
Hị: p1
V p2
v (Please enter a decimal)
b. The test statistic z v =0.61
X (please show your answer to 3 decimal places.)
c. The p-value = 0.2309
(Please show your answer to 4 decimal places.)
d. The p-value is >va
e. Based on this, we should fail to reject
the null hypothesis.
f. Thus, the final conclusion is that ...
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the population proportion of freshmen women at Oxnard College who attend orientation is
different from the population proportion of freshmen men at Oxnard College who attend
orientation.
The results are statistically insignificant at a = 0.01, so there is insufficient evidence to
conclude that the population proportion of freshmen women at Oxnard College who attend
orientation is different from the population proportion of freshmen men at Oxnard College who
attend orientation.
O 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
College who attend orientation.
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the proportion of the 602 freshmen women who attended orientation is different from the
proportion of the 634 freshmen men who attended orientation.
Transcribed Image Text:The director of student services at Oxnard College is interested in whether women are just as likely to attend orientation as 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: Data for Gender vs. Orientation Attendance Women Men Yes 355 395 No 247 239 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 of a. The null and alternative hypotheses would be: Но: р1 vV (please enter a decimal and note p2 that p1 and ul represent the proportion and mean for women and p2 and u2 represent the proportion and mean for men.) Hị: p1 V p2 v (Please enter a decimal) b. The test statistic z v =0.61 X (please show your answer to 3 decimal places.) c. The p-value = 0.2309 (Please show your answer to 4 decimal places.) d. The p-value is >va e. Based on this, we should fail to reject the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population proportion of freshmen women at Oxnard College who attend orientation is different from the population proportion of freshmen men at Oxnard College who attend orientation. The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population proportion of freshmen women at Oxnard College who attend orientation is different from the population proportion of freshmen men at Oxnard College who attend orientation. O 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 College who attend orientation. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the proportion of the 602 freshmen women who attended orientation is different from the proportion of the 634 freshmen men who attended orientation.
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