In a survey of 1000 drivers from Region A, 848 wear a seat belt. In a survey of 1000 drivers from Region B, 907 wear a seat belt. At a= 0.10, is there evidence to support the claim that the proportion of drivers who wear seat belts in Region A isless than the proportion of drivers who wear seat belts in Region B? Assume that the samples are random and independent. Complete parts (a) through (e) below.(a) Identify the claim and state Ho and HIdentify the claim. Let population 1 be drivers from Region A and let population 2 be drivers from Region B. Choose the correct answer below:O A. The claim is that the proportions of drivers who wear seat belts in both regions add up to 1O B. The claim is that the proportions of drivers who wear seat belts in both regions are equal.O C. The claim is that the proportion of drivers who wear seat belts in Region A is less than the proportion of drivers who wear seat belts in Region B.O D. The claim is that the proportion of drivers who wear seat belts in Region A is greater than the proportion of drivers who wear seat belts in Region B.State Ho and Ha. Choose the correct answer below.OC. Ho: P, SPP2H P> P2O B. Ho: P1 2 P2O A. Ho: P1 # P2Hg: P1 = P2H: P P2H: P1 SP2H: P, *P2(b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in the answer boxes to complete your choice.O A. There is one critical value, zo =. and one rejection region, z>(Round to two decimal places as needed.)O B. There is one critical value, zo,and one rejection region, z<(Round to two decimal places as needed.)OC.There are two critical values, zo =, and two rejection regions, z< and z>(Use a comma to separate answers as needed. Round to two decimal places as needed.) In a survey of 1000 drivers from Region A, 848 wearless than the proportion of drivers who wear seat belts in Region B? Assume that the samples are random and independent. Complete parts (a) through (e) below.seat belt. In a survey of 1000 drivers from Region B, 907 wear a seat belt. At a = 0.10, is there evidencesupport the claim that the proportion of drivers who wear seat belts in Region A isO A. Ho: P1 #P2O B. Ho: P, 2p2OC. Ho: P, SP2Hg: P1 = P2Hg: P P2O F. Ho: P1 = P2H: P P2O E. Ho: P1> P2O D. Ho: P1 -(Round to two decimal places as needed.)O B. There is one critical value, zn =, and one rejection region, z<(Round to two decimal places as needed.)O C. There are two critical values, z, =, and two rejection regions, z< and z>(Use a comma to separate answers as needed. Round to two decimal places as needed.)(c) Find the standardized test statistic, z.(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.V in the rejection region(s),Ho-Since z(e) Interpret the decision in the context of the original claim.V the proportion of drivers who wear seat belts in Region B.ThereV enough evidence at the a = 0.10 level of significance to support the claim that the proportion of drivers who wear seat belts in Region A is

Here use 2 sample proportion of z test

Answered: In a survey of 1000 drivers from Region…

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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A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 22.9% and 19.3%, respectively. (Suppose the number of respondents from each state was 3000.) At a = 0.05, can you support the claim that the proportion of adults who are smokers is lower in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of adults who are smokers in state A is the proportion of adults who are smokers in state B." Let p, and p2 be the two population proportions. State H, and Ha. Choose the correct answer below. O A. Ho: P1 = P2 Hạ: P1 # P2 O B. Ho: P1 P2 Ha: P1 SP2 D. Ho: P1 sP2 F. Ho: P1 2 P2 Ha: P1 > P2 Ha: P1 1.96 ОС. z2 -1.64 D. z 1.64 E. z - 1.96 (c) Find the standardized test statistic.
The average worker at a local brake manufacturer produces 10 brakes per day (other statistical information was not known). An industrial psychologist was hired to increase worker productivity and a new assembly method was designed and tested in a sample of workers. Identify the appropriate test. Select one: a. independent samples t test b. z test c. single sample t test d. paired samples t test
Twenty different statistic students are randomly selected. For each of them,their body temperature (° F) is measured and their head circumference (in) ismeasured. Without doing any research or calculations, estimate the value of r. Forthis sample of paired data, what does r represent?
A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 118 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the a = 0.05 level of significance. ..... What type of variable is "drive an American-made automobile, or not"? A. Qualitative with two possible outcomes B. Discrete C. Continuous…
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school,70 % were enrolled in college. At a=.009, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e).
One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 35 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 35 minutes for the cable technician to arrive. The customer asks a simple random sample of 4 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 39.l minutes with a standard deviation of 2.6 minutes. Assume that the population distribution is approximately normal. Test the customer's claim at the 0.10 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision.
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The manufacturer of a popular soft drink claims that cans of this drink contain 12 ounces. A consumer group is suspicious of this claim and believes the amount in each can is less than 12 ounces. A random sample of 18 cans is selected and the amount in each can is measured. The results are as follows: 11.9 11.9 12.0 11.9 12.0 11.7 11.6 11.5 11.6 12.0 11.8 11.7 12.2 11.5 12.1 11.8 12.1 11.8 Calculate the sample standard deviation s. Round its value to two decimal places.____________
Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining whether or not there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data (in miles per gallon) show the results of the test. Assume the population of differences is normally distributed. Driver Manufacturer A Manufacturer B 1 36 30 2 31 31 3 30 28 4 30 27 5 29 27 6 33 30 7 35 25 8 29 31 The test statistic is 2.316. At ? = 0.10, the null hypothesis should be revised .should not be tested. should be rejected. should not be rejected.
Use the data and table below to test the indicated claim about the means of two paired populations (matched pairs). Assume that the two samples are each simple random samples selected from normally distributed populations. Make sure you identify all values. The table below shows the blood glucose of 20 students before breakfast and two hours after breakfast, using a specific insulin dosing formula to cover carbohydrates. Is there compelling statistical evidence that the specific insulin dosing formula is effective in reducing blood glucose levels? Use a significance level of 0.05. We have the differences (gain or loss), but we still need to compute the mean, standard deviation, and know the sample size for the differences (use Excel or Sheets for this computation). Once those are found, we can apply methods that are used for a 1 sample t-test. Student Before Meal After Meal Difference 1 161 114 -47 2 196 88 -108 3 132 80 -52 4 175 96 -79 5 169 112 -57 6 138 137…

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