b) The table below shows the color and the model of cars purchased by 160 randomlyselected customers at a car dealership in 2020.ModelColorТоyotaHyundaiRed1719White2535Black3529Use a 5 percent level of significance to test the null hypothesis that color chosen and car modelare independent.i.Given that the chi-square test statistic, x, is 2.1183, find the p-value for testii.State the conclusion for the test.iii.State 2 limitations of the chi-square test, x“.

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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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The table below shows the color and the model of cars purchased by 160 randomlyselected customers at a car dealership in 2020. ModelColor Toyota HyundaiRed 17 19White 25 35Black 35 29 Use a 5 percent level of significance to test the null hypothesis that color chosen and car modelare independent. i Given that the chi-square test statistic, ?2, is 2.1183, find the p-value for test ii. State the conclusion for the test. iii. State 2 limitations of the chi-square test, ?2 thx
Suppose 26 of 200 tires of brand A failed to last 30000 miles, whereas the corresponding figure for 200 tires of brands B was 32. Test the null hypothesis that there is no difference in the quality of the two kinds of tires at the α=:05 significance level.
According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.36. Suppose a random sample of 110 traffic fatalities in a certain region results in 49 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?
According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33.Suppose a random sample of 109 traffic fatalities in a certain region results in 47that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?
A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream? A. A two-sample t-test for a difference between means B. A chi-square test of independence C. A linear regression t-test for slope D. A two-sample z-test for a difference between proportions E. A matched pairs t-test for a mean difference
A simple random sample of front-seat occupants involved in car crashes is obtained. Among3000occupants not wearing seat belts,36were killed. Among 7697occupants wearing seat belts,18were killed. Use a0.05significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below.
A survey of 30 r/s students in a large college indicated that 19 of them held off-campus jobs. Does this survey result provide strong evidence that more than 50% of all studentsin this college hold off-campus jobs? Use an appropriate p-value to draw and explain your conclusion.
A geneticist conducted a hybridization experiment with peas, which resulted in offspring consisting of 410 peas with green pods and 150 peas with yellow pods. According to Mendel’s theory, 1/4 of the offspring peas should have yellow pods. Use a 0.05 significance level to test the claim that the proportion of peas with yellow pods is equal to 0.25. Provide answers below.
US Universities found that 72% of people are concerned about the possibility that their personal records could be stolen over the internet. If a random sample of 300 college students at a Midwestern university were taken and 228 of them were concerned about the possibility that their personal records could be stolen over the Internet, could you conclude at the 0.025 level of significance that a higher proportion of the university’s college students are concerned about Internet theft than the public at large? Report the p-value for this test. Z0.025 = 1.96
Suppose a statistician named Big Daddy thinks that the average monthly electric bill for Houston in August is more than $150. Using sample data from a normal population, Big Daddy obtains a test statistic of z = 1.06. Determine the P-value and state the conclusion at the 5% level of significance.
A manufacturer of baby powder claims that 20 out of 56 mothers prefer brand A of baby powder. A random sample of 25 mothers are selected and asked what brand of baby powder they prefer. If 8 of the 25 mothers prefer Brand A, what is the conclusion? Use z-test at 1% level of significance.
Find the t – test of difference of following are the measurements of the wing span of two varieties of sparrows in millimeters: Assuming that the condition underlying the two-sample t test can be met, test at the 0.05 level of significance whetherthe difference between the means of these two random samples is significant.

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