A student would like to analyze a dataset comprising the scores of a group ofparticipants on three variables, including two categorical/nominal independentvariables (IVS) and a continuous, ratio dependent variable (DV). In the researchconcerned, each participant provides one score for each of the three variables (i.e.no missing data), and the research question is how the two IVs may affect the DV.The student is deliberating whether to apply (i) a factorial between-subjects ANOVAor (ii) two separate between-subjects one-way ANOVAS (one ANOVA for each of theIVs) for analyzing the data. Assuming that you are now advising the student on thechoice between option (i) and option (ii), answer the following queries of the studentand explain each of your answers in no more than three sentences. (No marks foranswers with no explanation.)a. For the dataset and research question, will option (i) and option (ii) provide thesame set of statistical significance tests for the omnibus hypotheses?b. Will option (i) and option (ii) always give the same p-value for testing therespective main effects of the two IVs?

Answered: For the dataset and research question,…

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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It is more difficult to reject a null hypothesis if we use a 10% level of significance compared with a 5% level of significance. True or False
A local teacher wants to see if teaching writing in different ways impacts student learning. She has two classes of similar characteristics. In one class, she will use Teaching Strategy A and in the other class she will use Teaching Strategy B. She ran her analysis in Microsoft Excel and received the following output table. If the P value is less than 0.05, the null hypothesis may be rejected. Based on the data table, what decision should the teacher make about the hypothesis?
For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim. A fitness magazine advertises that the mean monthly cost of joining a health club is less than $25. You work for a consumer advocacy group and are asked to test this claim. You find that a random sample of 18 clubs has a mean monthly cost of $26.25 and a standard deviation of $3.23. Perform the appropriate hypothesis test at α = 0.10.
Internet tax: The Gallup Poll asked 1043 U.S. adults whether they believed that people should pay sales tax on items purchased over the internet. Of these, 407 said they supported such a tax. Does the survey provide convincing evidence that the percentage of U.S. adults who favor an internet sales tax differs from 40%? Use the a = 0.05 level of significance. Part 1 of 5 State the appropriate null and alternate hypotheses. Ho: p = 0.40 H:p = 0.40 This hypothesis test is a two-tailed test. Part: 1/5 Part 2 of 5 Find the critical values. Round the answers to at least three decimal places. For a = 0.05, the critical values are and
At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the Northeast spend more on average than the national average reported in the Bureau of Labor Statistics? Select the correct hypothesis test for this problem:
Again, suppose you work for AMC Cinemas (a national chain of movie theaters). You try to forecast future revenue from movie ticket sales based on the number of competing theaters within 15 miles, the ticket price at the nearest competitor, advertising expenditures, the local unemployment rate, and average outdoor temperature. Answer the following questions. (a) Suppose your quantitative study uses a 5% significance level in all hypothesis tests. In words, explain what a 5% significance level means. (b) Suppose that, instead of movie ticket sales, you use the same independent variables to predict popcorn sales at theaters. Would you expect a regression model for popcorn sales to have a higher, lower, or similar R-square value in comparison to the regression model for movie ticket sales? Explain the reasoning behind your expectation.
If you have do not have enough evidence to reject the null hypothesis at the 5% significance level using the critical value method, you will not have enough evidence to reject at the 10% significance level. True O False
-What is a research question for the following scenario? What would the independent variable (IV) be for this question and scenario? -What would the dependant variable (DV) be for this question and scenario? Levels of groups’ certainties about their eyewitness testimony to a simulated crime were compared. Thefirst group was set up to be “right” in its eyewitness accounts and the second group was set up to be“wrong”; the desire was to see if confidence differed across groups. Thirty-four participants wererecruited from a college campus and randomly divided into two groups, both of which were shown avideo of a crime scenario (length: 58 seconds) in which the perpetrator’s facial characteristics (withrespect to the camera) were clearly visible at two separate points and sporadically visible at others. Halfthe participants then were shown a five-individual lineup that contained the perpetrator in the video(“Group A”), and half the participants were shown a five-individual lineup that…
It has been argued that first-born children will in general be more independent than later-born children. Assume a 25-point scale of independence was appraised by 25 firstborn grown-ups and their second-born siblings. The information on independence are as follows (a higher score implies that the individual is more independent)Is the argument valid? Use a 0.01 level of significance and Wilcoxon Signed Ranks Test to analyze the data.
Test the claim that the proportion of men who own cats is significantly different than 35% at the 0.2 significance level.The null and alternative hypothesis would be: H0:μ=H0:μ=H1:μ<H1:μ<H0:p=0.35H0:p=0.35H1:p≠0.35H1:p≠0.35 H0:μ=H0:μ=H1:μ≠H1:μ≠H0:μ=H0:μ=H1:μ>H1:μ>H0:p=0.35H0:p=0.35H1:p<0.35H1:p<0.35H0:p=0.35H0:p=0.35H1:p>0.35H1:p>0.35 The test is:   right-tailed left-tailed two-tailed Based on a sample of 55 men, 255255 of the men owned catsThe test statistic is: z=z=___?___ (to 2 decimals)The positive critical value is zC=zC=1.28155.
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Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8 H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8 The test is: right-tailed left-tailed two-tailed Based on a sample of 200 people, 87% owned catsThe p-value is:  (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

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For the dataset and research question, will option (i) and option (ii) provide the same set of statistical significance tests for the omnibus hypotheses? Will option (i) and option (ii) always give the same p-value for testing the respective main effects of the two IVs?