do it fast

A recent survey by the research institute showed that 64% of users of online dating sites say the number one thing they're looking for in a date or partner is common interests. Suppose you would like to perform a hypothesis test to challenge this finding. From a random sample of 130 students on campus, you find that 71 said the number one thing they're looking for in a date or partner is common interests. Using a = 0.10, complete parts a and b. a. Based on this sample, can we conclude that the proportion of students who said the number one thing they're looking for in a date or partner is common interests, is similar to the research institute survey? Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P > 0.64 O B. Ho: p 20.64 H1: ps0.64 H1: p 0.64 H1: p #0.64 Determine the critical value(s) of the test statistic. Za = 1.64 (Use a comma to separate answers as needed. Round to two decimal places as needed.) Calculate the test statistic. Zp = -2.14 (Type an integer or decimal rounded to two decimal places as needed.) Determine the conclusion. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence to conclude that the true proportion of students who said the number one thing they're looking for in a date or partner is common interests is different from 64%. O B. Do not reject Ho. There is not sufficient evidence to conclude that the true proportion of students who said the number one thing they're looking for in a date or partner is common interests is different from 64%. O C. Do not reject Ho. There is sufficient evidence to conclude that the true proportion of students who said the number one thing they're looking for in a date or partner is common interests is different from 64%. O D. Reject Ho. There is not sufficient evidence to conclude that the true proportion of students who said the number one thing they're looking for in a date or partner is common interests is different from 64%.b. Determine the p-value for this test. p-value = 0.0325 (Type an integer or decimal rounded to four decimal places as needed.)