(Solved): The director of student services at Oxnard College is interested in whether women are less likely t ...

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: What can be concluded at the $\alpha =0.05$ level of significance? For this study, we should use a. The null and alternative hypotheses would be: $\begin{array}{l}{H}_0:\\ \text{ that }p1\text{ and }\mu 1\text{ represent the proportion and mean for women and }p2\text{ and }\mu 2\text{ represent the proportion and }\\ \text{ mean for men.) }\end{array}$ mean for men.) b. The test statistic $✓=$ (please show your answer to 3 decimal places.) c. The $p$-value $=$ (Please show your answer to 4 decimal places.) d. The $p$-value is $\alpha$ e. Based on this, we should the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically insignificant at $\alpha =0.05$, 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 $\alpha =0.05$, so there is sufficient evidence to conclude that the proportion of the 645 freshmen women who attended orientation is less than the proportion of the 795 freshmen men who attended orientation. The results are statistically insignificant at $\alpha =0.05$, 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 $\alpha =0.05$, 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.