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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 find 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 site looking for a roommate. Of the students surveyed, 60 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 44%. (a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test. Ho: O Â H₁:0 p np=0 n(1-p) = 0<0 OSO 020 ローロ ロメロ X $ (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 22 (1-p) 10 under the assumption that the null hypothesis is true.) Here is the sample size and p is the population proportion you are testing. S O>0 (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. The value of the test statistic is given by p(1-p) n The p-value is two times the area under the curve to the left of the value of the test statistic. Español 7 ∞ B

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 find 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 site looking for a roommate. Of the students surveyed, 60 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 44%. (a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test. Ho: O Â H₁:0 p np=0 n(1-p) = 0<0 OSO 020 ローロ ロメロ X $ (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 22 (1-p) 10 under the assumption that the null hypothesis is true.) Here is the sample size and p is the population proportion you are testing. S O>0 (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. The value of the test statistic is given by p(1-p) n The p-value is two times the area under the curve to the left of the value of the test statistic. Español 7 ∞ B

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(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 i true.) Here 72 is the sample size and p is the population proportion you are testing. np=0 n(1-p) = 0 (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. P-p p(1-p) n • The p-value is two times the area under the curve to the left of the value of the test statistic. • The value of the test statistic is given by 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. 5 Step 4: Enter the p-value. (Round to 3 decimal places.) 0.3+ 02- 0.1- Espanol 81 @EÙ
Transcribed Image Text:(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 i true.) Here 72 is the sample size and p is the population proportion you are testing. np=0 n(1-p) = 0 (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. P-p p(1-p) n • The p-value is two times the area under the curve to the left of the value of the test statistic. • The value of the test statistic is given by 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. 5 Step 4: Enter the p-value. (Round to 3 decimal places.) 0.3+ 02- 0.1- Espanol 81 @EÙ
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 find 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 site looking for a roommate. Of the students surveyed, 60 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 44%. (a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test. Ho: O Â H₁: 0 Р np = 0 n (1-p) = 0 O<O 020 ローロ OSO X Ś (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 22 (1-p) ≥ 10 under the assumption that the null hypothesis is true.) Here is the sample size and p is the population proportion you are testing. (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by O<O 0*0 P-p p(1-p) n • The p-value is two times the area under the curve to the left of the value of the test statistic. Español ? 00 B !
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, 44% 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 170 students who visited the site looking for a roommate. Of the students surveyed, 60 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 44%. (a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test. Ho: O Â H₁: 0 Р np = 0 n (1-p) = 0 O<O 020 ローロ OSO X Ś (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 22 (1-p) ≥ 10 under the assumption that the null hypothesis is true.) Here is the sample size and p is the population proportion you are testing. (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by O<O 0*0 P-p p(1-p) n • The p-value is two times the area under the curve to the left of the value of the test statistic. Español ? 00 B !
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