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 342 427 No 301 342 What can be concluded at the α = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H 0 : (please enter a decimal) H 1 : (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 α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The results are statistically significant at α = 0.01, so there is sufficient evidence to conclude that the proportion of the 643 freshmen women who attended orientation is different from the proportion of the 769 freshmen men who attended orientation. The results are statistically insignificant at α = 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 insignificant at α = 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 significant at α = 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.

Answer 1

using excel>Addin>phstat>multiple sample test

we have

Chi-Square Test
Observed Frequencies
	Atendencce			Calculations
Gender	Yes	No	Total		fo-fe
Men	347	427	774		-6.95342	6.953423
Women	301	342	643		6.953423	-6.95342
Total	648	769	1417
Expected Frequencies
	Atendencce
Gender	Yes	No	Total		(fo-fe)^2/fe
Men	353.9534	420.0466	774		0.1366	0.115106
Women	294.0466	348.9534	643		0.16443	0.138557
Total	648	769	1417
Data
Level of Significance	0.01
Number of Rows	2
Number of Columns	2
Degrees of Freedom	1
Results
Critical Value	6.634897
Chi-Square Test Statistic	0.554694
p-Value	0.456406
Do not reject the null hypothesis

The null and alternative hypotheses would be:

H 0 : p1= p2

H 1 : p1p2

The test statistic = 0.555

The p-value = 0.4564

The p-value is greater than α Based on this, we should not the null hypothesis. The results are statistically insignificant at α = 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. T