(Solved): An increased number of colleges have been using online resources to research applicants. According ...

An increased number of colleges have been using online resources to research applicants. According to a study from last year, \( 32 \% \) of admissions officers indicated that they visited an applying student's social networking page. A random sample of 500 admissions officers was recently selected and it was found that 165 of them visit the social networking sites of students applying to their college. Using \( \alpha=0.01 \), complete parts a and b below. a. Does this sample provide support for the hypothesis that the proportion of admissions officers who visit an applying students' social networking page has increased in the past year? Determine the null and alternative hypotheses. Choose the correct answer below. A. \( \mathrm{H}_{0}: \mathrm{p} \leq 0.32 \) B. \( H_{0}: \mathrm{p}=0.32 \) \( H_{1}: p>0.32 \) \( \mathrm{H}_{1}: \mathrm{p} \neq 0.32 \) C. \( H_{0}: \mathrm{p}>0.32 \) D. \( H_{0}: p \geq 0.32 \) \( \mathrm{H}_{1}: \mathrm{p} \leq 0.32 \) \( \mathrm{H}_{1}: \mathrm{p}<0.32 \) Determine the critical value(s) of the test statistic. \( z_{\alpha}= \) (Use a comma to separate answers as needed. Round to two decimal places as needed.)