Chi-square tests are used to test relationships between categorical or ordinal values - to determine if there is astatistically significant difference between the expected and observed frequencies in one or more categories.Choose the correct hypothesis to test one sample with categorical or ordinal outcomes - or a chi-squaregoodness-of-fit test.O HO: p1 = p10, p2 = p20,.pk = pk0 H1: HO is false (where p = proportion of participants in a specific category)%3DO HO: m1 = m2 H1: m1 > m2, m1< m2, or m1 m2 ( m - mean)%3DO HO: md = 0 H1: md + 0 (m = mean)O HO: p1 = p2 H1: p1 >p2, p1< p2, p1 p2O HO: m1 = m2 = m3 ... = mk H1: Means are not all equal (m = mean)

In the given problem we have, Chi-square tests are used to test relationships between categorical or…

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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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In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the a 0.05 significance level, test the claim that the responses occur with the same frequency. Ho: The responses to the questions occur with the same frequency. H₁: The responses to the questions do not occur with the same frequency. Observed Response Frequency Expected Frequency (0-E)2 E A 6 16.2 8 B 10 16.2 C 24 16.2 D 18 16.2 8 E 23 16.2 a. What is the X2 test-statistic for this data? Round to four decimal places. x²= b. What is the p-value? Round to four decimal places. p-value= c. What would be the conclusion of this hypothesis test? O Fail to reject the hull hypothesis. Reject the null hypothesis. d. What is the final conclusion? O There is sufficient evidence to conclude the test question responses occur with the same frequency. There is sufficient evidence to conclude the test question responses do not occur with the same frequency. O There is not sufficient evidence to…
Another organization wants to perform a similar analysis on Department A’s and Department B’s performance evaluation scores. What is the Null Hypothesis (Ho:)? What is the Research Question or Alternative Hypothesis (Ha:)? Perform the t-Test and show the results (two sample assume equal variance). Dept A Dept B 3.1 3.1 3.6 3.1 3.2 3.2 3.5 3.4 3.1 3.2 2.9 3.3 3.5 3.1 3.6 2.9 3.7 3.1 3.5 3.6 2.9 3.2 3.2 3.3 3.6 3.4 3.5 3.3 3.4 3.1 2.9 2.8 3.4 2.9 3.3 3.1 3.5 3.2 3.4 3.1
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For a paired-sample study design, if the null hypothesis is true, then theoretically what value should be obtained for the sample mean? O Mp<0 O Mp = 0 O Mp20
If a hypothesis test were conducted using a 5% level of significance, for which of the following p-values would the null hypothesis be rejected? A. 0.0367 B. 0.0501 C. 0.100 D. 0.299
Do cars really get better mileage per gallon on the highway? The table shows results from a study of the MPG (miles per gallon) of cars both in the city and on the highway. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. At the 0.1 significance level, test the claim that the mpg on the highway is better than in the city. MPG on the Highway 35.6 34.3 32.2 33.9 31.1 27.1 33.3 33.4 29.3 33.5 31.4 33.2 33.5 30.8 33.8 MPG in the City 26.4 25.3 18.6 25.6 24.7 24.6 25.1 22.4 29.3 23.7 23.4 22 24 23.6 25.5 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer p x̄₁ p₁ σ₁² μ₁ μ₂ μ μ(Highway) x̄₂ p̂₁ s₁² p₂ ? ≤ ≠ < ≥ = > Select an answer p₁ p₂ p̂₁ μ(City) μ μ₁ μ₂ x̄₁ x̄₂ s₁² σ₁² p H1: Select an answer p₂ μ(Highway) p̂₂ σ₂² x̄₁ x̄₂ s₂² μ₁ μ₂ μ p₁ p ? < ≠ = ≥ ≤ > Select an answer p₂ p₁ μ₁ σ₁²…
1. We want to investigate whether traffic accidents are more likely on certain days of the week on certain road sections. Which of the following tests best fits the situation?Choose one:a. Two-way analysis of variance OR b. Compatibility test OR c. Paired t-test 2. In which of the following can it be assumed that the sample comes from a normal distribution?Choose one:a. In the Runs test (random test)b. In the compatibility testc. In a two-way analysis of variance
The table below includes results from polygraph (lie detector) experiments conducted by researchers. In each case, it was known if the subjected lied or did not lie, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and lies? Determine the test statistic. (Round ofd to 3 decimal places) Find the P-Value What is the conclusion? (In case you are using excel, I will appreciate if you explain the steps of finding the test statistic and the P-value....But this is not a must)
Does color enhance creativity? Test the indicated claim about the standard deviations or variances of two populations. Subjects are given a creativity exercise on a computer with either a red background or a blue background. The scores are shown in the table. At the 0.05 significance level, test the claim that those tested with red background have creativity scores with a standard deviation equal to the standard deviation for those tested with a blue background. Red Background Blue Background n1 = 39 n2 = 34 xˉx̄1 = 19.6 xˉx̄2 = 20.5 s1 = 0.72 s2 = 0.01 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer x̄₂ x̄₁ μ(red) p₂ p μ₁ μ₂ σ₁ s₁² σ(red) p₁ μ p̂₁ ? ≠ < > ≤ ≥ = Select an answer μ₁ μ₂ p₁ μ(blue) p σ₂ p₂ σ(blue) s₁² x̄₁ x̄₂ μ p̂₁ H1: Select an answer μ σ₁ x̄₁ μ(red) p̂₂ p₁ s₂² p₂ μ₂ μ₁ σ(red) x̄₂ p ? ≤ ≥ ≠ > = < Select an answer μ(blue) σ(blue) p μ μ₁ p₁ x̄₂ s₁² x̄₁ σ₂ p̂₁ p₂ μ₂…
Which outcome is expected if the null hypothesis is true for an analysis of variance? a. SSbetween should be about the same size as SStotal. b. SSbetween should be about the same size as SSwithin. c. MSbetween should be about the same size as MStotal. d. MSbetween should be about the same size as MSwithin.
A random sample of 50 pieces of candy from a bag of assorted types is examined. Which of the following types of candy contributes the most to the chi-square statistics and why?

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