The director of student services at Oxnard College is interested in whether women are more 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 357 374 No 313 393 What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for the difference between two population proportions z-test for a population proportion t-test for the difference between two independent population means t-test for a population mean  The null and alternative hypotheses would be:        H0:H0:  Select an answer μ1 p1  Select an answer = > ≠ <  Select an answer p2 μ2  (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:  Select an answer μ1 p1  Select an answer > ≠ < =  Select an answer μ2 p2  (Please enter a decimal) The test statistic ? z t  =  (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 Select an answer accept fail to reject reject  the null hypothesis. Thus, the final conclusion is that ... 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 greater than the population proportion of freshmen men at Oxnard College who attend orientation. 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 greater than 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 670 freshmen women who attended orientation is greater than the proportion of the 767 freshmen men who attended 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 director of student services at Oxnard College is interested in whether women are more 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

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

For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for the difference between two population proportions z-test for a population proportion t-test for the difference between two independent population means t-test for a population mean 

1. The null and alternative hypotheses would be:   
  

 H0:H0:  Select an answer μ1 p1  Select an answer = > ≠ <  Select an answer p2 μ2  (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:  Select an answer μ1 p1  Select an answer > ≠ < =  Select an answer μ2 p2  (Please enter a decimal)

1. The test statistic ? z t  =  (please show your answer to 3 decimal places.)
2. The p-value =  (Please show your answer to 4 decimal places.)
3. The p-value is ? ≤ >  αα
4. Based on this, we should Select an answer accept fail to reject reject  the null hypothesis.
5. Thus, the final conclusion is that ...
   • 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 greater than the population proportion of freshmen men at Oxnard College who attend orientation.
   • 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 greater than 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 670 freshmen women who attended orientation is greater than the proportion of the 767 freshmen men who attended 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.