At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 44% of students will finda match their first time using the site. A writer for the school newspaper tests this claim by choosing a random sample of 165 students who visited the sitelooking for a roommate. Of the students surveyed, 57 said they found a match their first time using the site.Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to reject the claim that theproportion, p, of all students who will find a match their first time using the site is 44%.(a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.HoO 10 andn(1-p) 210 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing. St nter the test statistic.(Rouna to 3 decimal places.)-3-2(d) Based on your answer to part (c, choose what can be concluded, at the 0.10 level of significance, about the claim made inthe school's reports.O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enoughevidence to reject the claim that 44% of students will find a match their first time using the site.Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is notenough evidence to reject the claim that 44% of students will find a match their first time using the site.O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there isenough evidence to reject the claim that 44% of students will find a match their first time using the site.O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there isnot enough evidence to reject the claim that 44%. of students will find a match their first time using the site.

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At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 44% of students will fin- a match their first time using the site. A writer for the school newspaper tests this claim by choosing a random sample of 165 students who visited the site looking for a roommate. Of the students surveyed, 57 said they found a match their first time using the site. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to reject the claim that the proportion, p, of all students who will find a match their first time using the site is 44%. (a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test. Ho: 1 OSO H: 0 O20 (b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1-p) to confirm that a Z-test can be used. (One standard is that np 2 10 and n(1-p) 2 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.