Example:A public opinion poll surveyed a simple random sample of 50voters. Respondents were classified by gender and by votingpreference. Results are given below:GenderVoting PreferencesRepublicanIndependentMale1510Female1325Using Chi- Square test; test the hypothesis at 5 % significancelevel that the men's voting preferences differ significantly fromthe women's preferences.[ Given, xa (05)= 3.841](1),Business Statistics: A Decision-Making Approach, 6e D 2005 Prentice-Hall, Inc.Chan 12.26

In order to test the hypothesis that the men's voting preferences differ from the women's…

Answered: A public opinion poll surveyed a simple…

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 U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 52 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.05. (a) level of significance: .05 | H0: p = 0.77; H1: p < 0.77 (b) The standard normal, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) Find the P-value of the test statistic. (Round your answer to four decimal places.)
In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 71 out of a random sample of 86 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use ? = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.75; H1: p > 0.75H0: p ≠ 0.75; H1: p = 0.75 H0: p < 0.75; H1: p = 0.75H0: p = 0.75; H1: p ≠ 0.75H0: p = 0.75; H1: p < 0.75 (b) What sampling distribution will you use? The Student's t, since np > 5 and nq > 5.The standard normal, since np > 5 and nq > 5. The Student's t, since np < 5 and nq < 5.The standard normal, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test…
A random sample of n1 = 299 voters registered in the state of California showed that 146 voted in the last general election. A random sample of n2 = 211 registered voters in the state of Colorado showed that 120 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance. I need help with the wrong ones. level of Significance: .05 | H0: p1 = p2; H1: p1 < p2 |
A social psychologist records the number of outbursts in a smaple of different classrooms at a local school. Based on the statement below, what are the sample size, decision (retain or reject the null hyp), and effect size in this study? The number of outbursts among students at this local school (M = 3) was significantly less than that in the general population, t(39) = 4.19, p < .05 (d = 0.25)
A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
When using an independent samples t-test, the author of a journal article reported that t(30) = 3.60, p < .05. Should the researcher reject the null or fail to reject the null?
Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 204 women, r1 = 70 responded yes. Another random sample of n2 = 178 men showed that r2 = 48 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2 H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume the population distributions are approximately normal.The Student's t. The number of trials is sufficiently large. The standard normal. The number of trials is sufficiently large.The Student's t. We assume the population distributions are approximately normal. What is the value of the sample…
In a 2005 study 2205 adolescents aged 12 - 19 years old were give a treadmill test to check their cardiovascular health. 750 of the subjects were determined to have poor cardiovascular fitness. The researchers want to claim that more than 30% of adolescents have poor cardiovascular health (with a 5% level of significance). The research hypothesis is Ha:p>0.30. Find the test statistic, p-value, and state your conclusion.
A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they belleved that supermarket ketchup was as good as the national brand ketchup. a. Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup differed from 645%. He: p- Select your answer Select your answer b. If a sample of 100 shoppers showed 54 stating that the supermarket brand was as good as the national brand, what is the p-value (to 4 decimals)? c. At a=0.05, what is your conclusion? P-valueSelect your answer Ho d. Should the national brand ketchup manufacturer be pleased with this conclusion? Select your answer
Let p1 be the proportion of residents in Country A coping with depression, and let p2 be the proportion of residents in Country B coping with depression. What is the null hypothesis for a test to determine whether Country A has a greater proportion of residents coping with depression than Country B? Select the correct answer below: H0: p1−p2>0 H0: p1−p2<0 H0: p1−p2=0 H0: p1−p2≠0
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2). To test this statement, NASCAR took a random sample of 115 of the new racecar engines and 120 of the old engines. They found that 12 of the new racecar engines and 9 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.1 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test. Step 2 of 6 : Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places. Step 3 of 6 : Compute the weighted estimate of p, p‾p‾. Round your answer to three decimal places. Step 4 of 6 : Compute the value of the test…
A public opinion poll surveyed a simple random sample of 1000 voters. Respondents were classified by gender (male or female) and by voting preference (Republican, Democrat, or Independent). Results are shown in the contingency table at right. Based on this information, Do the men's voting preferences differ significantly from the women's preferences? Use a 0.05 level of significance.

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