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 165 students who visited the site looking for a roommate. Of the students surveyed, 57 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 44%.a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that you would use for the test.- The diagram shows two boxes for input with symbols P, \( \hat{P} \), along with mathematical operators and a '?' indicating options to choose from for the hypothesis notation. \( H_0 \): □\( H_1 \): □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 \( np \geq 10 \) and \( n(1-p) \geq 10 \) under the assumption that the null hypothesis is true.) Here \( n \) is the sample size and \( p \) is the population proportion you are testing. ### Transcription(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 value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to reject the claim that 44% of students will find a match their first time using the site. - O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that 44% of students will find a match their first time using the site. - O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is enough evidence to reject the claim that 44% of students will find a match their first time using the site. - O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that 44% of students will find a match their first time using the site.### Diagram ExplanationThe image includes a graph representing a probability distribution with a rejection region. The x-axis is labeled with values ranging from -3 to 3, indicating the standard score (z-scores) in a normal distribution. The curve represents the normal distribution, with areas shaded to signify the rejection regions on both tails. The exact values of critical z-scores are not visible, but they typically range above or below a certain threshold depending on the significance level (in this case, 0.10). The graph assists in visually determining if the computed test statistic falls within a region where the null hypothesis can be rejected or not.

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Answered: At a nearby college, there is a…

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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The magazine Tech Worx reported that 88% of software engineers rate the company they work for as "a great place to work." As a veteran headhunter, you claim the percentage given in the report is not correct. In a survey of 210 randomly chosen software engineers, 186 rated the company they work for as "a great place to work." Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support your claim that the proportion, p, of all software engineers who rate the company they work for as "a great place to work" is not 88%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: I (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 2 10 and n(1-p) > l0 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are…
A local government official observes an increase in the number of individuals with cardiovascular and obesity problems in his barangay. In order to improve the health conditions of his constituents, he aims to promote an easy and cheap way to reduce weight. It is known that obesity results in risk of having illnesses like diabetes and heart problems. He encouraged his constituents to participate in his "Dance for Life" project every weekend for three months. To know if the program is effective in reducing weight, he randomly selected 12 participants from the group who completed the program. The weight loss data, in kilograms, of the 12 randomly selected participants after completing the program, are 0.5, 0.7, 0.9, 1.1, 1.2, 1.3, 1.4, 2.0, 2.3, 2.4, 2.7, 3.0. It is known that the weight loss of those who have completed the dance program follows a normal distribution with variance of 3.24 ??2. a. Construct and interpret a 90% confidence interval for the true mean weight loss of the…
answer all parts please
Dr. Moo conducted a research project in which she compared the impact of two types of therapy (pizza therapy and chocolate therapy) and gender on college students’ happiness. How many null hypotheses did she have, and how would you write them?
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Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 35 feel more enriched as a result of her class. Now, what do you think? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) Part (c) Part (d) Part (e) Part (f) Part (g) Part (h) Part (i) Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.) 95% C.I. Viewing Saved Work…
Show your complete solution II. Use an appropriate statistical tool to test the hypothesis. Use the stepwise method of hypothesis testing. 3. A researcher observed that students preferred several online class platforms. For this reason, he performs a survey to know whether or not gender is associated with online class platforms preference and he was able to gathered the following data Zoom Google Meet MS Teams Total Male 110 95 40 245 Female 105 100 50 255 Total 215 195 90 500

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