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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, 46% of 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 of 160 students who visited the site looking for a roommate. Of the students surveyed, 65 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 0.05 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 46%. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. Ho: 0 H₁: 0 Р np=0 n (1-p)=0 OO Ayis E

At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 46% of 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 of 160 students who visited the site looking for a roommate. Of the students surveyed, 65 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 0.05 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 46%. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. Ho: 0 H₁: 0 Р np=0 n (1-p)=0 OO Ayis E

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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. The value of the test statistic is given by n • The p-value is two times the area under the curve to the left of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. р-р p(1-p) Step 4: Enter the p-value. (Round to 3 decimal places.) 2 1 0.4 0.3 0.2+ 2 A pañol ?
Transcribed Image Text:. The value of the test statistic is given by n • The p-value is two times the area under the curve to the left of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. р-р p(1-p) Step 4: Enter the p-value. (Round to 3 decimal places.) 2 1 0.4 0.3 0.2+ 2 A pañol ?
At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 46% of 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 of 160 students who visited the site looking for a roommate. Of the students surveyed, 65 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 0.05 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 46%. (a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test. 0 A B Ho: D H₁: 0 np=0 n(1-p) = Р Explanation < Check D $ X . The value of the test statistic is given by X (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. SO (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>10 and n (1-p)≥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. Ś = <O Ś P P p(1-p) % # & Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use * 0/5 C с Privacy Center | Accessibility Ayishatu V Aa A Español ? delete
Transcribed Image Text:At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 46% of 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 of 160 students who visited the site looking for a roommate. Of the students surveyed, 65 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 0.05 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 46%. (a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test. 0 A B Ho: D H₁: 0 np=0 n(1-p) = Р Explanation < Check D $ X . The value of the test statistic is given by X (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. SO (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>10 and n (1-p)≥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. Ś = <O Ś P P p(1-p) % # & Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use * 0/5 C с Privacy Center | Accessibility Ayishatu V Aa A Español ? delete
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