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(a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test. Ho: 0 O 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. np = n(1-p) = |

(a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test. Ho: 0 O 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. np = n(1-p) = |

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 13CYU
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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, 36% 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, 45 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 36%.
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, 36% 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, 45 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 36%.
(a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test. Ho: 0 O<O OSO H;: 0 D=0 ? (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. np = ] n(1-p) = 0
Transcribed Image Text:(a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test. Ho: 0 O<O OSO H;: 0 D=0 ? (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. np = ] n(1-p) = 0
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