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 alcoholconcentration (BAC) is 0.33. Suppose a random sample of 109 traffic fatalities in a certain region results in 45 that involved a positive BAC. Does the sample evidence suggestthat the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the x = 0.01 level of significance?Because npo (1-P)requirements for testing the hypothesis(Round to one decimal place as needed.)=10, the sample size issatisfied.5% of the population size, and the samplethe

It is given that:Sample size: Number of positive BAC in sample: Level fo significance: We have to…

Answered: According to a certain government…

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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Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below are summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? Assume that conditions for inference are satisfied. Mean SD City MPG, Automatic 16.12 City MPG, Manual 19.85 4.51 3.58 26 26 357 25 15 automatic. manual City MPG The hypotheses for this test are: Ho: automatic Pmanual Ha: Pautomatic Hmanual Ho: Pautomatic Hmanual Ha: Pautomatic? Hmanual Ho: Hautomatic Pmanual Ha: Pautomatic Pmanual The test statistic is: x (please round to two decimal places) The p-value is: x (please round to four decimal places) Internret the result
Evans conducted a study to determine if the frequency and characteristics of pediatric problems in elderly patients with diabetes present differences with respect to patients of the same age, but without diabetes. The individuals studied, interned in a clinic, were between 70 and 90 years old. Among the researchers' findings are the following statistics. with respect to the scores on the deep tendon reflexes meters:Sample without Diabetes: 79 / 2.1 / 1.1With Diabetes: 74 / 1.6 / 1.2Is it possible to conclude, based on the data, that, on average, diabetic patients they have reduced deep tendon reflexes in comparison with patients without diabetes of the same age?
Researchers studying the link between prenatal vitamin use and autism surveyed the mothers of a random sample of children with autism and children with typical development. The table below shows the number of mothers in each group who did and did not use prenatal vitamins during the three months before pregnancy (periconceptional period). Autism. No Autism Vitamins - Yes 143 Vitamins - No 111 159 70 Do we have sufficient evidence to conclude that the proportion of children with autism is different between women that used vitamins and women that did not if the type I error rate you are willing to tolerate is 5%? Not able to determine We should accept the null We should reject the null We should not reject the null
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 0.37. Suppose a random sample of 114 traffic fatalities in a certain region results in 53 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 a = 0.01 level of significance? Because npo (1- Po) |10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.)
The Centers for Disease Control and Prevention reported a survey of randomly selected Americans age 65 and older, which found that 411 of 1012 men and 535 of 1062 women suffered from some form of arthritis. Conduct a hypothesis test to determine whether arthritis is more likely to afflict women than men at a significance level of a = 0.05. State your conclusion.
Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. A government set a safety limit for cadmium in dry vegetables at 0.5 parts per million (ppm). The cadmium levels in a random sample of one species of edible mushroom are in the accompanying data set. At the 1% significance level, do the data provide sufficient evidence to conclude that the mean cadmium level in this species of mushroom is greater than the government's recommended limit of 0.5 ppm? Assume that the population standard deviation of cadmium levels in this species of mushroom is 0.34 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 7.07 ppm.) Click here to view the cadmium concentration data. Click here to view Page 1 of the table of areas under the standard normal curve. Click here to view Page 2 of the table of areas under the standard normal curve. State the hypotheses for the…
If there is an interaction, is the interaction significant? That is, does the effect of maternal diet on passive avoidance depends on the levels of age(i.e., on whether the rat is adolescent or adult)? Why? Provide F-statistic, df of the numerator, df of the denominator , and p-value.
Arsenic is a compound that occurs naturally in very low concentrations. Arsenic blood concentrations in healthy individuals are Normally distributed with a mean of 3.2 mg/dl. Some areas of the United States have naturally elevated arsenic levels in the ground and water supplies. Researchers took a sample 20 water samples from a particular area and measured the arsenic levels in each of the 20 water samples. They want to determine if there is sufficient evidence to conclude that the arsenic level in that area is higher than 3.2 mg/dl. hypothesis test for one population mean (unknown population standard deviation) confidence interval estimate for one population mean (unknown population standard deviation) hypothesis test for population mean from paired differences confidence interval estimate for population mean from paired differences hypothesis test for difference in population means from two independent samples confidence interval estimate for difference in population means from two…
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 0.37. Suppose a random sample of 115 traffic fatalities in a certain region results in 56 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 a = 0.1 level of significance? Find the test statistic, zo. 20 = (Round to two decimal places as needed.)
Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.02 level of significance whether the two methods of analysis give, on the average, the same result. Click here to view the sample analyses. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Let sample 1 be the X-ray fluorescence results and let sample 2 be the laboratory chemical results. State the null and alternative hypotheses. Ho: HD H1: HD + Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to three decimal places as needed.) O A. t> В. t O C. t<
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 0.32. Suppose a random sample of 108 traffic fatalities in a certain region results in 45 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 a = 0.05 level of significance? Because npo (1- Po) 10, the sample size is 5% of the population size, and the sample | the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.)
A study was performed to determine the percentage of people who wear life vests while out on the water. A researcher believed that the percentage was different for those who rode jet skis compared to those who were in boats. Out of 500500 randomly selected people who rode a jet ski, 85%85% wore life vests. Out of 250250 randomly selected boaters, 90.4%90.4% wore life vests. Using a 0.050.05 level of significance, test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat. Let jet skiers be Population 1 and let boaters be Population 2. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0Ha: p1=p2: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2 Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places. 3) draw a conclusion and form a decision (word it like "we fail to reject the null hypothesis and…

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