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(d) Based on your answer to part (c), choose what can be concluded, at the 0.10 level of significance, about the claim made in the school's reports. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that 39% of students will find a match their first time using the site. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that 39% of students will find a match their first time using the site. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that 39% of students will find a match their first time using the site. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that 39% of students will find a match their first time using the site.

(d) Based on your answer to part (c), choose what can be concluded, at the 0.10 level of significance, about the claim made in the school's reports. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that 39% of students will find a match their first time using the site. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that 39% of students will find a match their first time using the site. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that 39% of students will find a match their first time using the site. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that 39% of students will find a match their first time using the site.

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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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. Step 4: Enter the p-value. (Round to 3 decimal places.) A 02+ 01+ (d) Based on your answer to part (c), choose what can be concluded, at the 0.10 level of significance, about the claim made in the school's reports. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that 39% of students will find a match their first time using the site. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that 39% of students will find a match their first time using the site. Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that 39% of students will find a match their first time using the site. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that 39% of students will find a match their first time using the site.
Transcribed Image Text: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. Step 4: Enter the p-value. (Round to 3 decimal places.) A 02+ 01+ (d) Based on your answer to part (c), choose what can be concluded, at the 0.10 level of significance, about the claim made in the school's reports. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that 39% of students will find a match their first time using the site. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that 39% of students will find a match their first time using the site. Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that 39% of students will find a match their first time using the site. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that 39% of students will find a match their first time using the site.
At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 39% 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, 54 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 39%. (a) State the null hypothesis H, and the alternative hypothesis H₁ that you would use for the test. Ho: H₁:0 р 0<0 0<0 □□ 0=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 (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. np=0 n(1-p) = || (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. p-p ⚫ 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.
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, 39% 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, 54 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 39%. (a) State the null hypothesis H, and the alternative hypothesis H₁ that you would use for the test. Ho: H₁:0 р 0<0 0<0 □□ 0=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 (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. np=0 n(1-p) = || (c) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. p-p ⚫ 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.
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