A variable contains five categories. It is expected that data areuniformly distributed across these five categories. To test this, asample of observed data is gathered on this variable resulting infrequencies of 27, 30, 29, 21, and 24. Using a = .01, the appropriatedecision is _____.do not reject the null hypothesis that the observeddistribution is not uniformO do not reject the null hypothesis that the observeddistribution is uniformO reject the null hypothesis that the observed distribution isuniformO do nothingO reject the null hypothesis that the observed distribution isnot uniform

There are five categories of a variable.The observed frequency for each of the five categories…

Answered: A variable contains five categories. It…

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 are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.1; pB=0.2p; pC=0.3; pD=0.4Complete the table. Category ObservedFrequency ExpectedFrequency SquaredResidual A 17 B 28 C 28 D 52 What is the chi-square test-statistic for this data?χ2=Report all answers accurate to three decimal places.VERY IMPORTANT NOTE: Answers are reported to 3 decimal places, but you should use all the decimal places to calculate the final chi-square test statistic...DO NOT use the rounded number you report in the table.
10.12 Traffic sign maintenance. Refer to the Journal of Transportation Engineering (June 2013) study of traffic alul NCDOT sign maintenance, Exercise 8.54 (p. 465). Recall that civil engineers estimated the proportion of traffic signs main- tained by the North Carolina Department of Transportation (NCDOT) that fail minimum retroreflectivity requirements. The researchers were also interested in the proportions of NCDOT signs with background colors white (regulatory signs), yellow (warning/caution), red (stop/yield/wrong way), and green (guide/information). In a random sample of 1,000 road signs maintained by the NCDOT, 373 were white, 447 were yellow, 88 were green, and 92 were red. Suppose that NCDOT stores new signs in a warehouse for use as replacement signs; of these, 35% are white, 45% are yellow, 10% are green, and 10% are red. Does the distribution of background colors for all road signs maintained by NCDOT match the color distribution of signs in the warehouse? Test using a
Independent random samples of professional football and basketball players gave the following information. Assume that the weight distributions are mound-shaped and symmetric. Weights (in Ib) of pro football players: x n = 21 247 263 256 2s1 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 272 Weights (in Ib) of pro basketball players: n- 19 204 200 220 210 193 215 221 216 228 207 225 208 195 191 207 196 182 193 201 A USE SALT (a) Use a calculator with mean and standard deviation keys to calculate , and s. (Round your answers to four decimal places.) (b) Let , be the population mean for x, and let Ma be the population mean for x. Find a 99% confidence interval for a. (Round your answers to one decimal place.) lower limit upper limit
Individuals in a random sample of 120 were asked whether they supported capital punishment. The following information was obtained. Do You SupportCapital Punishment? Number ofIndividuals Yes 70 No 10 No Opinion 40 We are interested in determining whether the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed. If the opinions are uniformly distributed, the expected frequency for each group would be _____. a. 1/3 b. 0.50 c. 40 d. 0.333
In a chi-square test of homogeneity, the observed and expected frequencies are R C1 C2 C3 Total R1 20 16 24 60 R2 15 24 26 65 Total 35 40 50 125 C2 16.8 R C3 Total R1 19.2 24.0 60.0 R2 18.2 20.8 26.0 65.0 Total 35.0 40.0 50.0 125.0 The observed test statistic is about O 20. O 3.10. O 170. O 4.25.
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Complete both tables on the remaining pages and show your work for at least three Equal Variances F Tests and at least five T tests. You must show at least one computation using Welch’s T Test and at least one computation using the 2-Sample T Test for Equal Means.(I don't know how to find the distribution or probability for the first chart)
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Suppose that a medical clinic wants to test whether there is a relationship between sex and age class in the number of deaths caused by cancer. The table shows the observed frequencies (counts) of a simple random sample of 117 deaths related to cancer. Younger than 45 45 and older Total Male 8 60 68 Female 4 45 49 Total 12 105 117 Does this sample meet the requirements for conducting a chi-square test for independence? The sample does not meet the requirements because the expected frequency in at least one cell is less than 10. The sample does not meet the requirements because the expected frequency in at least one cell is less than 5. The sample does not meet the requirements because the observations are not independent. The sample meets the requirements because the observed frequency in each cell is at least 5. The sample meets the requirements because the expected frequency in each cell is at least 5.

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