The director of student services at Oxnard College is interested in whether women are less likely to attendorientation than men before they begin their coursework. A random sample of freshmen at Oxnard Collegewere asked what their gender is and whether they attended orientation. The results of the survey areshown below:Data for Gender vs.OrientationAttendanceWomen MenYes 419No 223| 437189What can be concluded at the a = 0.01 level of significance?For this study, we should use Select an answera. The null and alternative hypotheses would be:Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal and note thatp1 and ul represent the proportion and mean for women and p2 and µ2 represent the proportion andmean for men.)H: Select an answer vSelect an answerSelect an answer(Please enter a decimal)b. The test statistic ? v(please show your answer to 3 decimal places.)c. The p-value =d. The p-value is ? vae. Based on this, we should Select an answer(Please show your answer to 4 decimal places.)|the null hypothesis.f. Thus, the final conclusion is that ...O The results are statistically insignificant at a = 0.01, so there is statistically significantevidence to conclude that the population proportion of freshmen women at Oxnard Collegewho attend orientation is the same as the population proportion of freshmen men at OxnardCollege who attend orientation.O The results are statistically significant at a = 0.01, so there is sufficient evidence to concludethat the population proportion of freshmen women at Oxnard College who attend orientation isless than the population proportion of freshmen men at Oxnard College who attendorientation.O The results are statistically significant at a = 0.01, so there is sufficient evidence to concludethat the proportion of the 642 freshmen women who attended orientation is less than theproportion of the 626 freshmen men who attended orientation.O The results are statistically insignificant at a = 0.01, so there is insufficient evidence toconclude that the population proportion of freshmen women at Oxnard College who attendorientation is less than the population proportion of freshmen men at Oxnard College whoattend orientation.

Given data : x1= 419.0 n1= 642 x2= 437.0 n2= 626 significance level, 0.01Solution : a) For this study, we should use z test ( two proportion z test) Hypothesis test : The null and alternative hypothesis is Ho : p1 = p2 Ha : p1 < p2B) sample proportion p̂1 = x1 / n1 = 419.0 / 642 = 0.6526 p̂2 = x2 / n2 = 437.0 / 626 = 0.6981 Pooled Proportion =( 419.0 + 437.0 )/ 642 + 626 = 0.6751 Test statistic : Test statistic is z = -1.73C) P-value : P-value =P(Z < Zobs )= P(z < -1.73 )= 0.0418 ---------- (from normal distribution z-table) ∴ P-value= 0.0418D) P-value is greater than αE) based on this we should fail to reject the null hypothesis. F) The results are statistically insignificant at a = 0.01, 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.