A political campaign is interested in whether a geographic difference existed in support for raising the minimum wage in a certain state. Polls were conducted in the two largest cities in the state about raising the minimum wage. In city 1, a poll of 800 randomly selected voters found that 238 supported raising the minimum wage. In city 2, a poll of 1000 randomly selected voters found that 267 supported raising the minimum wage. What type of hypothesis test should be performed? Select

A political campaign is interested in whether a geographic difference existed in support for raising the minimum wage in a certain state. Polls were conducted in the two largest cities in the state about raising the minimum wage. In city 1, a poll of 800 randomly selected voters found that 238 supported raising the minimum wage. In city 2, a poll of 1000 randomly selected voters found that 267 supported raising the minimum wage. What type of hypothesis test should be performed? Select

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 political campaign is interested in whether a geographic difference existed in support for raising the minimum wage in a certain state. Polls were conducted in the two largest cities in the state about raising the minimum wage. In city 1, a poll of 800 randomly selected voters found that 504 supported raising the minimum wage. In city 2, a poll of 1000 randomly selected voters found that 627 supported raising the minimum wage. What type of hypothesis test should be performed? ______ select (left-tailed z-test, two-tailed z-test, left-tailed t-test, right-tailed t-test) p^1= (Ex:0.123) p^2= (Ex: 0.123) p^= (Ex: 0.123) Test statistic = (Ex: .13) p-value = (Ex: 0.123) Does sufficient evidence exist to support the claim that the level of support differs between the two cities at the α=0.1 significance level?_____ select (no or yes)
In 2004, 68% of online courses taught at community colleges nationwide were taught by full-time faculty. To test if 68% also represents California's percent for full-time faculty teaching the online classes, Long Beach City College (LBCC), CA, was randomly selected for comparison. In 2004, 34 of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents CA.†Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)
In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time faculty teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 33 of the 44 online courses at this particular community college were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) a)State the distribution to use for the test. (Round your standard deviation to four decimal places.)P' ~ ___ (____ , ____) b)What is the test statistic? (Round your answer to two decimal places.) c)What is the p-value? (Round your answer to four decimal places.)…
Historically, the percentage of U.S. residents who support stricker gun control laws has been 52%. In order to see if the support for strick gun control laws has decreased, a random sample of 1011 people was interviewed and found that 495 were in favor of stricker gun control laws a) Set up the null and alternative hypothesis in symbols. b) Calculate the sample proportion and of who support stricker gun control laws. c) Find the standard error of the proportion d) Find the value of z statistic. e) Find the P-value f) If the level of significance is 0.05, what is your conclusion about gun control support ( it remains same or changed)
In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time faculty teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 35 of the 44 online courses at this particular community college were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question. State the distribution to use for the test. (Round your standard deviation to four decimal places.)P' ~ ( , ) Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.) ( ) ( )
A plumber was interested in determining whether there is a significant difference in the price charged for plumbing tools by two hardware stores. The plumber selected five tools and recorded the price for each tool in each store. The following data was recorded: Store 1 2 Tool 2 R59.25 R22.50 R450 R44.25 R22.50 R36.75 R75 4 R480 R44.25 R60 Perform the appropriate test of hypothesis to determine whether there is a significant difference, on average, in the price of plumbing tools between the two stores, showing all 7 steps. Include both the rejection region and the p-value.
Mitt Romney was a presidential candidate in the Novem-ber 2012 U.S. presidential elections and he is a Mormon. The Public Religion Research Institute, during its 2011American Values Survey, asked 1019 random Americansif they would be comfortable with a Mormon serving asPresident. Fifty three percent reported that they wouldbe somewhat or very comfortable with this. Which ofthe following hypotheses should we test to determinewhether the majority of Americans would be somewhator very comfortable with a Mormon serving as president?A) H0 : p = 0.50 HA: p ≠ 0.50B) H0 : p = 0.50 HA: p 6 0.50C) H0 : p = 0.50 HA: p 7 0.50D) H0 : p = 0.53 HA: p 7 0.53E) H0 : pn = 0.53 HA: pn ≠ 0.53(Source: http://publicreligion.org/research/2011/11/2011-american-values-survey/)
Thirty-eight percent of all shoppers at a large department store are holdersof the store’s charge card. If a random sample of 100 shoppers is taken, what is theprobability that at least 30 of them will be found to be holders of the card?
Minnesota had the highest turnout rate of any state for the 2016 presidential election.† Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 627 of 836 registered voters from rural Minnesota voted in the 2016 presidential election, while 414 out of 575 registered voters from urban Minnesota voted. (a) Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2016 presidential election. (Let p1 = the population proportion of voters in rural Minnesota who voted in the 2016 election and p2 = the population proportion of voters in urban Minnesota who voted in the 2016 election.) (b) What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election? (c) What is the proportion of sampled registered voters in urban…
The City of South Lake Tahoe, CA, has an Asian population of 1,419 people, out of a total population of 23,609. Suppose that a survey of 1,419 self-reported Asians in the Manhattan, NY, area yielded the data in the table below. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area. Race Lake Tahoe Frequency Manhattan Frequency Asian Indian 131 174 Chinese 118 557 Filipino 1045 518 Japanese 80 54 Korean 12 29 Vietnamese 9 21 Other 24 66 H0 : _______ Ha : _______ What are the degrees of freedom? State the distribution to use for the test. What is the test statistic? What is the p-value? In one to two complete sentences, explain what the p-value means for this problem. Use the previous information to sketch a picture of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding…
A manufacturer is considering purchasing parts from three different suppliers. The parts received from the suppliers are classified as having a minor defect, having a major defect, or being good. Test results from samples of parts received from each of the three suppliers are shown below. Note that any test with these data is no longer a test of proportions for the three supplier populations because the categorical response variable has three outcomes: minor defect, major defect, and good.
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.