At a nearby college, there is a school-sponsored website that matches people looking for roommates. According ta the school's reports, 43% af students will find a match their first time using the site. A writer for the school newspaper tests this claim by choosing a random sample aof 170 students who visited the site looking 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 af significance, to reject the ciaim that the proportion, P, of all students who will find a match their first time using the site is 43%. (a) State the null hypothesis A and the alternative hypothesis H that you wauld use for the test. H 0 (b) For your hypothesis test, you will use a Z-test. Find the values of P and n(1-p) to confirm that a Z-test can be used. (One standard is that p2 10 and 4(1-9)2 10 under the assumption that the null hypothesis is true.) Here is the sample size and P is the papulation proportion you are testing. (1-7) =0 (c) Perform a Z-test. Here is some information to help you with your Z-test. • F0.as 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 Distribution Step 1: Seect one-taiked or two-lailed. O One-taiked O Two-lalud Stap 2: Enter the critical valau(s). (Round to 3 decimal places.) Stap 3: Enter the test statistic. (ound to 3 decimal places.) 8 會 回
At a nearby college, there is a school-sponsored website that matches people looking for roommates. According ta the school's reports, 43% af students will find a match their first time using the site. A writer for the school newspaper tests this claim by choosing a random sample aof 170 students who visited the site looking 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 af significance, to reject the ciaim that the proportion, P, of all students who will find a match their first time using the site is 43%. (a) State the null hypothesis A and the alternative hypothesis H that you wauld use for the test. H 0 (b) For your hypothesis test, you will use a Z-test. Find the values of P and n(1-p) to confirm that a Z-test can be used. (One standard is that p2 10 and 4(1-9)2 10 under the assumption that the null hypothesis is true.) Here is the sample size and P is the papulation proportion you are testing. (1-7) =0 (c) Perform a Z-test. Here is some information to help you with your Z-test. • F0.as 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 Distribution Step 1: Seect one-taiked or two-lailed. O One-taiked O Two-lalud Stap 2: Enter the critical valau(s). (Round to 3 decimal places.) Stap 3: Enter the test statistic. (ound to 3 decimal places.) 8 會 回
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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