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: Data for Gender vs. Orientation Attendance Women Men Yes 338 No 317 349 287 What can be concluded at the a= 0.10 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 p2 (please enter a decimal and note that p1 and μl represent the proportion and mean for women and p2 and u2 represent the proportion and mean for men.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 25PFA
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b. The test statistic zv -1.087 x (please show your answer to 3 decimal places.)
c. The p-value = 0.1385 x (Please show your answer to 4 decimal places.)
d. The p-value is >
the null hypothesis.
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the population proportion of freshmen women at Oxnard College who attend orientation is
less than the population proportion of freshmen men at Oxnard College who attend
orientation.
e. Based on this, we should fail to reject
f. Thus, the final conclusion is that ...
The results are statistically insignificant at a = 0.10, 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.
The results are statistically insignificant at a = 0.10, so there is insufficient evidence to
conclude that the population proportion of freshmen women at Oxnard College who attend
orientation is less than the population proportion of freshmen men at Oxnard College who
attend orientation.
The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the proportion of the 655 freshmen women who attended orientation is less than the
proportion of the 636 freshmen men who attended orientation.
Transcribed Image Text:b. The test statistic zv -1.087 x (please show your answer to 3 decimal places.) c. The p-value = 0.1385 x (Please show your answer to 4 decimal places.) d. The p-value is > the null hypothesis. O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population proportion of freshmen women at Oxnard College who attend orientation is less than the population proportion of freshmen men at Oxnard College who attend orientation. e. Based on this, we should fail to reject f. Thus, the final conclusion is that ... The results are statistically insignificant at a = 0.10, 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. The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population proportion of freshmen women at Oxnard College who attend orientation is less than the population proportion of freshmen men at Oxnard College who attend orientation. The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the proportion of the 655 freshmen women who attended orientation is less than the proportion of the 636 freshmen men who attended orientation.
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:
Data for Gender vs.
Orientation
Attendance
Women Men
Yes 338
No 317
349
287
What can be concluded at the a= 0.10 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
p2
(please enter a decimal and note
that p1 and μl represent the proportion and mean for women and p2 and 2 represent the proportion and
mean for men.)
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: Data for Gender vs. Orientation Attendance Women Men Yes 338 No 317 349 287 What can be concluded at the a= 0.10 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 p2 (please enter a decimal and note that p1 and μl represent the proportion and mean for women and p2 and 2 represent the proportion and mean for men.)
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