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 WomenMenYes420529No181161What can be concluded at the αα = 0.01 level of significance?For this study, we should use The null and alternative hypotheses would be: H0:H0: (please enter a decimal and note that p1 and μ1μ1 represent the proportion and mean for women and p2 and μ2μ2 represent the proportion and mean for men.) H1:H1: (Please enter a decimal)The test statistic = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ...The results are statistically insignificant at αα = 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.The results are statistically insignificant at αα = 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.The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the proportion of the 601 freshmen women who attended orientation is different from the proportion of the 690 freshmen men who attended orientation.The results are statistically significant at αα = 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.

Solution We will use z test for two sample proportion A) Ho : P1 = P2 H1 : P1 < P2 B) n1 = 601,…

Answered: The director of student services at…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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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	420	529
No	181	161

What can be concluded at the αα = 0.01 level of significance?

For this study, we should use

The null and alternative hypotheses would be:

H0:H0: (please enter a decimal and note that p1 and μ1μ1 represent the proportion and mean for women and p2 and μ2μ2 represent the proportion and mean for men.)

H1:H1: (Please enter a decimal)

The test statistic = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is αα
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically insignificant at αα = 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.
- The results are statistically insignificant at αα = 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.
- The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the proportion of the 601 freshmen women who attended orientation is different from the proportion of the 690 freshmen men who attended orientation.
- The results are statistically significant at αα = 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.

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