b) The table below shows the color and the model of cars purchased by 160 randomlyselected customers at a car dealership in 2020.ModelHyundai19ColorТoyotaRed17White2535Black3529Use a 5 percent level of significance to test the null hypothesis that color chosen and car modelare independent.i.State the null and alternative hypotheses for this test.Calculate:ii.[2]the expected frequency for red vehicle and the Toyota modelb. the chis-square contribution, x², for red vehicle and the Toyota model[1][1]Given that the chi-square test statistic, x?, is 2.1183, find the p-value for test [2][2][2]i.ii.State the conclusion for the test.iii.State 2 limitations of the chi-square test, x.EEIJI

For the given data Perform Chi square test

Answered: b) The table below shows the color and…

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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Rock-paper-scissors is a game played by two or more people where players choose either rock, paper, or scissors with their hands. For your statistics class project, you want to evaluate whether players choose between these three options randomly, or if certain options are favored above others. You ask two friends to play rock-paper-scissors and count the times each option is played. The following table summarizes the data: Under the assumption that no option is favored, what would the expected number of paper be? a. 33 b. 20 c. Impossible to determine d. 21 e. 0.33 What is the test statistic for the chi-square goodness of fit test? a. 0.0005 b. 0 c. 0.30 d. 0.317 e. 0.20 f. 7.51
When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinne
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 29% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 52 of the dragon eggs to incubate. Consider all the possible samples of 52 dragon eggs.What is the mean number of yellow eggs in samples of 52 eggs? (that is the same as asking for the expected value of the number of yellow eggs) (Give answer correct to at least one decimal place.) mean = What is the standard deviation in the number of yellow eggs in samples of size 52? (Give answer correct to at least one decimal place.) standard deviation = What is the variance in the number of yellow eggs in samples of size 52? (Remember to calculate the answer using at least 5 decimal places, then give answer correct to at least one decimal place.) variance =
The table below gives the two-way classification of 400 randomly selected persons based on their status as a smoker or a nonsmoker and on the number of visits they made to their physicians last year. Suppose you must test the hypothesis at 5% level of significance whether there is a relationship between smoking and visits to the physician. Status Visits to the Physician 0-1 2-4 >3D5 Smoker 25 60 75 Nonsmoker 110 90 40 The expected frequencies will be O a) 54, 44,81. 90 and 70 O b) 54, 60. 81. 90 and 69 Oc) 112, 100.90,81 and 69 Odi69.82. 55. 90 and 112
Random samples of 54 male students and 53 female students at the U of A were asked to state their car preference (American, European, and Japanese). The resulting frequencies are shown in the following table. Is there enough evidence to conclude a difference in car preference between males and females? American European Japanese :Male 18 12 24 Female 18 (a) In performing this statistical test, state the hypotheses. O Họ: the distribution of preference is not the same for males and females vs. HA: the distribution of preference is the same for males and females O Họ: the distribution of gender is not the same for each car preference vs. Ha: the distribution of gender is the same for each car preference O Họ: the distribution of preference is the same for males and females vs. Ha: the distribution of preference is not the same for males and females O Họ: the proportion of females is the same for each car preference vs. HA: the proportion of females is not the same for each car preference…
Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
Ten randomly selected people took an IQ test A, and next day they took a very similar IQ test B. Their scores are shown in the table below. Person A B C D E F G H I J Test A 103 86 93 116 89 104 124 97 108 80 Test B 104 87 96 121 90 104 123 97 112 78 1. Consider (Test A - Test B). Use a 0.05 significance level to test the claim that people do better on the second test than they do on the first. (Note: You may wish to use software.) (a) What test method should be used?A. Two Sample t B. Two Sample z C. Matched Pairs (b) The test statistic is ........ (c) The critical value is .......... (d) Is there sufficient evidence to support the claim that people do better on the second test? A. Yes B. No2. Construct a 95% confidence interval for the mean of the differences. Again, use (Test A - Test B). .......<μ<..........
The following contingency table shows the results of a random sample of customers classified by two variables, namely age group and favorite way to eat ice cream. You are to test if there is any association between gender and the favorite way to eat ice cream. Cup 100 150 120 Cone 120 120 100 Sundae 111 120 120 Young Kids Teenage Adults What is/are the parameter(s) of investigation? b. State the null and alternative hypotheses. Construct the table for expected frequency. d. Suppose that the calculated test statistic is 7.44. What is the p-value? What is your conclusion for this test? а. С. е.
1.) Why does a large value of the F statistics provide evidence against the null hypothesis? 2.) An urn contains 20 colored golf balls: 8 white, 6 red, 4 blue, and 2 yellow. A child is allowed to draw balls until he gets a yellow one. The number of draws required is recorded. Determine what distribution the probability experiment represents and why?
46% of all statistics classes require an advanced calculator and 38% require the use of a computer that has statistical software. Of the classes that require an advanced calculator, 18% also require the use of a computer. If a statistics course is selected at random find A. P(Advanced Calculator) = [ Select ] ["0.57", "0.38", "0.18", "0.46"] B. P(Statistical Software) = [ Select ] ["0.38", "0.57", "0.46", "0.18"] C. P(Require an Advanced Calculator and Statistical Software) = [ Select ] ["0.1259", "0.1748", "0.0828", "0.8335"] D. P(Require an Advanced Calculator GIVEN Require Statistical Software) = [ Select ] ["0.3515", "0.18", "0.2184", "0.9716"]
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 37% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 67 of the dragon eggs to incubate. Consider all the possible samples of 67 dragon eggs. What is the mean number of yellow eggs in samples of 67 eggs? (that is the same as asking for the expected value of the number of yellow eggs) (Give answer correct to at least one decimal place.) mean = What is the standard deviation in the number of yellow eggs in samples of size 67? (Give answer correct to at least one decimal place.) standard deviation = What is the variance in the number of yellow eggs in samples of size 67? (Remember to calculate the answer using at least 5 decimal places, then give answer correct to at least one decimal place.) variance =

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