The categories of a categorical variable are given along with the observed counts from a sample. The expected counts from a nullhypothesis are given in parentheses. Compute the x²-test statistic, and use the x²-distribution to find the p-value of the test.chi-square statistic = iCategoryObservedp-value =(Expected)A139(160)B188(160)с45(40)DRound your answer for the chi-square statistic to two decimal places, and your answer for the p-value to four decimal places.28(40)

Answered: The categories of a categorical…

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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You intend to conduct a goodness-of-fit test for a multinomial distribution with 5 categories. You collect data from 71 subjects. What are the degrees of freedom for the x² distribution for this test? d.f. = 85
You intend to conduct a goodness-of-fit test for a multinomial distribution with 3 categories. You collect data from 77 subjects. What are the degrees of freedom for the x? distribution for this test? d.f. =
You intend to conduct a goodness-of-fit test for a multinomial distribution with 3 categories. You collect data from 78 subjects. What are the degrees of freedom for the x? distribution for this test? d.f. =
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Treatment Placebo A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. H1 H2 n 26 34 2.32 2.66 0.61 0.99 "TPL P2 OC. Ho: H1 H2 The test statistic, t, is -1.64. (Round to two decimal places as needed.) The P-value is 0.107. (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. C. Fail to reject the null hypothesis. There is not sufficient evidence…
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Treatment Placebo A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. H1 H2 In 30 34 X 2.34 2.65 0.89 0.62
An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. The summarized statistics about giving candy. No candy 21 18.53 1.52 Two candy 21 20.93 2.54 (a) Use a 0.01 significance level to test the claim that giving candy does result in greater tips. (b) Test statistic (Two decimal places. ) (c) P-value (Three decimal places.) (d) Construct confidence interval lower bound (Round to two decimal places.) upper bound (Round to two decimal places.)
K The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample. Click the icon to view the sample data. What are the hypotheses? OA. Ho: H=1.00 in magnitude H₁: μ1.00 in magnitude Magnitude of Earthquake 0.690 0.740 0.640 0.390 0.700 2.200 1.980 0.640 1.220 0.200 1.640 1.330 2.950 0.900 1.760 1.010 1.260 0.000 0.650 1.460 1.620 1.830 0.990 1.560 0.420 1.280 0.830 1.330 0.540 1.250 0.920 1.000 0.780 0.790 1.440 1.000 2.240 2.500 1.790 1.250 1.490 0.840 1.420 1.000 1.250 1.420 1.350 0.930 0.400 1.390 Done - X

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