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 th looking for a roommate. Of the students surveyed, 64 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 35%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H,: 0 合 olo

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Solve first 2 photos then for C it says Based on your answer to part C chose what can be concluded at the 0.05 levels of significance about the claim made in the school reports.
At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 35% 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, 64 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 35%.
(a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.
Ho: 0
ロ<ロ
OSO
H;: 0
ロ=ロ
ロロ
(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 np210
and n(1-p) z 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)=D
(c) Perform a Z-test. Here is some information to help you with your Z-test.
Z0025 is the value that cuts off an area of 0.025 in the right tail of the distribution.
Check
Save For Later
Submit As
2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy
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, 35% 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, 64 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 35%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Ho: 0 ロ<ロ OSO H;: 0 ロ=ロ ロロ (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 np210 and n(1-p) z 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)=D (c) Perform a Z-test. Here is some information to help you with your Z-test. Z0025 is the value that cuts off an area of 0.025 in the right tail of the distribution. Check Save For Later Submit As 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy
Question 13 of 15 (1 point) Question Attempt: 1 or Unlimited
(c) Perform a Z-test. Here is some information to help you with your Z-test.
• Zo 025 is the value that cuts off an area of 0.025 in the right tail of the distribution.
p-p
• The value of the test statistic is given by z=
р (1-р)
Normal Distribution
Step 1: Select one-tailed or two-tailed.
O One-tailed
0.3+
O Two-tailed
Step 2: Enter the critical value(s).
(Round to 3 decimal places.)
0.2-
0.1-
Step 3: Enter the test statistic.
(Round to 3 decimal places.)
Check
Save For Later
Submit As
O2021 McGraw-Hill Education. All Rights Reserved. Terms of Use I Privacy
Transcribed Image Text:Question 13 of 15 (1 point) Question Attempt: 1 or Unlimited (c) Perform a Z-test. Here is some information to help you with your Z-test. • Zo 025 is the value that cuts off an area of 0.025 in the right tail of the distribution. p-p • The value of the test statistic is given by z= р (1-р) Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed 0.3+ O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2- 0.1- Step 3: Enter the test statistic. (Round to 3 decimal places.) Check Save For Later Submit As O2021 McGraw-Hill Education. All Rights Reserved. Terms of Use I Privacy
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