Given the 5 categories in the table below, test the claim that the categories are equally likely to beselected at a a= 0.05 significance level.CategoryABCDEObservedExpectedFrequency Frequency1912151912a. Complete the table by calculating the expected frequencies.b. What is the chi-square test statistic? Round to three decimal places.x²c. What are the degrees of freedom?d.f.=d. What is the p-value for this sample? Round to four decimal places.p-value =e. Is the p-value less than a??f. Make a decision.Select an answerYg. Make a conclusion.O There is sufficient evidence to warrant rejection of the claim that all 5 categories areequally likely to be selected.O There is not sufficient evidence to warrant rejection of the claim that all 5 categories areequally likely to be selected.O The sample data support the claim that all 5 categories are equally likely to be selected.O There is not sufficient sample evidence to support the claim that all 5 categories areequally likely to be selected.

The number of categories k is 5.

Answered: Given the 5 categories in the table…

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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Suppose a group is interested in determining whether teenagers obtain their drivers license at approximately the same average age across the country. Five teenagers from each region of the country were randomly selected. The data collected is their age at which the teenagers obtained their drivers licenses and is summarized in the table below. Test the hypothesis that the five regions produce the same mean average for a teenage driver’s license. Northeast South West Central East 16.3 16.9 16.4 16.2 17.1 16.1 16.5 16.5 16.6 17.2 16.4 16.4 16.6 16.5 16.6 16.5 16.2 16.1 16.4 16.8 (a)What are the hypotheses? (b)What is the F – Statistic? (c) What is the p – value? (d) What can you conclude about the null hypothesis? (e) What can you conclude about the population means?
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…
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An article compared five different methods for teaching descriptive statistics. The five methods were traditional lecture and discussion, programmed textbook instruction, programmed text with lectures computer instruction, and computer instruction with lectures. 60 students were randomly assigned, 12 to each method. After completing the course, students took a 1-hour exam. We are interested in finding out if the average test scores are different for the different teaching methods. The p-value of the test is 0.0372. What is the conclusion of the test if the level of significance is αα=0.10? There is enough evidence to conclude that all five group means are significantly different from each other. There is not enough evidence to conclude that all five group means are sigificantly different from one another. There is enough evidence to conclude that at least one group mean is significantly different from others. There is not enough evidence to conclude that at least one…
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Thirty randomly selected students were asked how many self- help books they have read in the last three years. Their responses are in the following frequency table.
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Motor Vehicle Fatalities The table below lists motor vehicle fatalities by day of the week for a recent year (based on data from the Insurance Institute for Highway Safety). Use a 0.01 significance level to test the claim that auto fatalities occur on the different days of the week with the same frequency. Provide an explanation for the results.
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