According to the exit polls during the election forthe Vermont governor, 457 of the 837voters polled voted for Douglas. Conduct a testof hypothesis to determine if there is enoughevidence to declare Douglas the winner BEFOREthe polls close. So, think about it...for youralternate hypothesis...what % of the vote does acandidate need to win a two-way race? Is it morethan 51%? No, it's anything greater than 50%.And remember that you nullI hypothesis MUST bean equal sign.Show your work, show all six steps.Do step 5 twice. The first time, use a level ofsignificance (alpha) of 1%. For the second step 5,use a level of significance (alpha) of 0.1%.Show all six steps; 0 thru 5.

Using z test for one proportion

Answered: According to the exit polls during the…

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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Are Republicans more likely than Democrats to display the American flag in front of their residence on the Fourth of July? A simple random sample of 618 Republicans were surveyed and 408 said they display the flag on the Fourth of July. Another simple random sample of 615 Democrats were surveyed and 394 said they display the flag on the Fourth of July. Let p1p1 be the proportion of all Republicans who display the American flag on July 4th and p2p2 be the proportion of all Democrats who display the American flag on July 4th. What can be concluded at the αα = 0.10 level of significance? H0:H0: Select an answer μ p1-p2 μ1-μ2 μd p Select an answer ≠ < > = (please enter a decimal) H1:H1: Select an answer μ p1-p2 μd p μ1-μ2 Select an answer ≠ > = < (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
A new lie-detector test has been devised and must be tested before it is put into use. Two hundred people are selected at random, and each person draws and keeps a card from a box of 200 cards. Half the cards instruct the person to lie and the others instruct the person to tell the truth. Of those who lied, 70% fail the new lie-detector test (that is the test indicated lying). Of those who told the truth, 6% failed the test. What is the probability that a randomly chosen subject will have lied given that the subject failed the test? That the subject will not have lied given that the subject failed the test?
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A statistical test is conducted to see if there is evidence that the proportion of US citizens who can name the capital city of Mexico is less than 0.6. Use the following possible sample results: Sample A: 19 successes out of 40 Sample B: 22 successes out of 40 Sample C: 24 successes out of 40 Sample D: 26 successes out of 40 State which of the possible sample results provides the most significant evidence for the claim. Sample B Sample D Sample C Sample A
A salesman makes initial telephone contact with potential customers in an effort to assess whether a follow-up visit to their homes is likely to be worthwhile. His experience suggests that 40% of the initial contacts lead to follow-up visits. Suppose he contacts 100 people by telephone and the sample proportion of the follow-up visit is calculated. Which of the following statements is (are) correct? This is a multiple-answer question. It may have more than one correct answers. i. The sample proportion has a normal distribution with a mean of 0.40 and a standard deviation of 04x0.4 = 0.049. 100 Oil. The sample proportion has a normal distribution with a mean of 0.40 and a standard deviation of 0.6. iii. The probability that the sample proportion of the follow-up visit is more than 50% is P(p>0.5) = P(z>04-05)=P(z>-2.04) = 1-0.0207 = 0.9793. iv. The probability that the sample proportion of the follow-up visit is more than 50% is P(p>0.5)=P(2> 05 = P(Z > 2.04) = 1-0.9793= 0.0207.…
According to a report done last year by the dental industry, 81% of dentists would recommend Starry Whites toothpaste. After some recent negative publicity, the sales team at Starry Whites suspects the proportion of dentists who now recommend the brand is lower. The team chooses 150 dentists at random and asks them whether they'd recommend the brand. Of those, 118 say they'd recommend it. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to conclude that the proportion, p, of all dentists who now recommend this brand is less than 81%. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. ( Ho: Aa O 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.
A student compared organic food prices at Grocery 1 and Grocery 2. The same items were priced at each store. The first three items are shown in the accompanying Figure A. Choose the correct accompanying output (B or C) for the appropriate test, explaining why you chose that output. Then test the hypothesis that the population means are not equal using a significance level of 0.05. Assume i Figure A and Outputs Click the icon to view Figure A and the outputs. Which is the correct output (B or C) for the appropriate test? Explain. (Figure A) Food Grocery 1 0.89 Grocery 2 0.99 A. Output B is appropriate because the data are paired samples. Bananas/1 Ib Grape tomatoes/1 Ib Russet potato/5 Ib 4.19 4.49 B. Output C is appropriate because there are two samples. 4.69 4.49 C. Output B is appropriate because n2 25. (Figure B) D. Output C is appropriate because the data are independent samples. N Mean StDev SE Mean Test the hypothesis that the population means are not equal using a significance…
Movie theaters make as much as 85% profit on items sold at the concession stand. Without snacks at the movies, there would be no movies! A theater owner suspected that less than half of his customers purchased food at the concession counter. To examine this claim, a random sample of 80 patrons was selected and 35 of them purchased food. a. State the hypotheses in symbols and words to test the theater owner's claim. b. Calculate the test statistic c. Calculate the p-value d. Interpret the p-value e. State the conclusion of the test.
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