At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 43% of students willfind a match their first time using the site. A writer for the school newspaper tests this claim by choosing a random sample of 170 students who visited the sitelooking for a roommate. Of the students surveyed, 58 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 43%.(a) State the null hypothesis H, and the alternative hypothesis A that you would use for the test.PH 0D=0 DO(b) For your hypothesis test, you will use a Z-test. Find the values of MP and n(1-p) to confirm that a Z-test can be used. (One standard is that Mp2 1010 under the assumption that the null hypothesis is true.) Here is the sample size and P is the population proportion you are testing.andnp = 0a (1-p) = 0(c) Perform a Z-test. Here is some information to help you with your Z-test.. hos is the value that cuts off an area of 0.05 in the right tail of the distribution.The value of the test statistic is given by =Standard Normal DistributionStep 1: Sekect one-Laiked or two-lailed.O One-LaikedO Two-laledStep 2: Enter the cral val(s).(ound to 3 decimal places.)Step 3: Enter the test statistic.(ound to 3 decimal places.)(d) Based on your answer to part (c), choose what can be concluded, at the 0.10 level of significance, about the claim madeIn the school's reports.?O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there isenough evidence to reject the claim that 43% of students will find a match their first time using the site.O Since the value of the test statistic lies in the rejection region, the null hypathesis is not rejected. So, there isnot enough evidence to reject the claim that 43% of students will find a match their first time using the site.O Iince the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, thereis enough evidence to reject the claim that 43% of students will finda 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 is not enaugh evidence to reject the claim that 45% of students will find a match their first time using theste.

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We want to find null hypothesis,  alternate hypothesis,  critical value and test statistics 
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