Use the 7 steps in Hypothesis Testing in answering the problems below. 2. A school administrator claims that less than 50% of the students of the school are dissatisfied by thecommunity cafeteria service. Test the claim by using sample data obtained from a survey of 500students of the school where 54% indicated their dissatisfaction of the community cafeteria service.Use a 0.05.Ho (In words):Ho (In Symbols):Ha (In Words):Ha (In Symbols):Level of SignificanceTest StatisticsCritical RegionComputationDecisionConclusion

The hypothesized (or claimed) proportion, p0=50%=0.50 The sample size, i.e., the no. of sampled…

Answered: 2. A school administrator claims that…

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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7. You have seen this question before. Human volunteers were asked to try five types of meat products. One of these was dog food; the others were various types of pâté. The volunteers were asked which of the five was their favorite. Two out of 18 volunteers chose the dog food. Is there evidence that people prefer human food over dog food? Show all four steps of hypothesis testing.
t 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, 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 0.10 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% . erform 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 −ppp−1pn . The p-value is two times the area under the curve to the left of the value of the test statistic. Standard Normal Distribution Step 1:…
A student majoring in Management who has passed the Business Statistics course suspects that the average price of lunch at the canteen has increased during the pandemic. Before the pandemic, the price for lunch he paid was $21, $22, $22.50, $23, $23.50. After the pandemic, he paid $25, $25.50, $30, $27, and $26.50. a) Perform a hypothesis test analysis to find out whether there has been an average increase in the price of lunch (Use six Hypothesis Testing Steps) ! b) Interpret (and explain) the results of point a above!
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…
Solve 2 and 3
A politician believes that 60% of constituents are in favor of a particular issue. She takes a sample of 100 constituents and finds that 55 favor the issue. If you were to conduct a hypothesis test of this claim, what would be the decision rule?
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According to a report done last year by the dental industry, 81% of dentists would recommend Starry Whites toothpaste. After some recent negative publicity, the sales team at Starry Whites suspects the proportion of dentists who now recommend the brand is lower. The team chooses 150 dentists at random and asks them whether they'd recommend the brand. Of those, 118 say they'd recommend it. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to conclude that the proportion, p, of all dentists who now recommend this brand is less than 81%. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. ( Ho: Aa O 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.
A researcher is interested in whether people are more or less likely to enjoy popcorn when they are watching TV versus watching a movie. The researcher recruits 12 participants and randomly assigns them to eat popcorn either while watching T or while watching a movie. Then, the researcher measures now much each participant enjoyed the popcorn on a scale from 1 to 10. The researchers' results are shown below: Using the appropriate hypothesis test and the six steps of hypothesis testing, see what the researcher should conclude about the effect of watching television versus watching a movie on people's enjoyment of popcorn. 1. What is the appropriate test to use ? 2. List the test's assumptions You do NOT have to test the assumptions. 3. What are the null and alternative hypotheses ? 4. Construct a sampling distribution of means representing the null hypothesis. Specify the sampling distribution's mean and standard error 5. Using a two-tailed alpha of .05 (a = .05), determine the…
A student majoring in Business who has passed the Business Math course suspects that the average price of dinner at the X restaurant has increased during the pandemic. Before the pandemic, the price for dinner he paid was $21, $22, $22.50, $23, $23.50. After the pandemic, he paid $25, $25.50, $30, $27, and $26.50. a) Perform a hypothesis test analysis to find out whether there has been an average increase in the price of lunch (Use six Hypothesis Testing Steps with one tailed hypothesis test & without p value) ! b) Interpret (and explain) the results of point a above!
At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 42% 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, 86 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 42%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H₁: p=0.42 H₁: p = 0.42 020 0=0 ロッロロロ (b) For your hypothesis test, you will use a Z-test. Find the values of p and (1-p) to confirm that a Z-test can be used. (One standard is that np ≥ 10 and (1-p) ≥10 under the assumption…

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