In a survey of 1295 people, 905 people said they voted in a recent presidential election. Voting records show that 67% of eligible voters actually did vote. Given that 67% of eligible voters actually did vote, (a) find the probability that among 1295 randomly selected voters, at least 905 actually did vote. (b) What do the results from part (a) suggest? (a) P(X 2 905) =O (Round to four decimal places as needed.)
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- It has been found that 2 out of every 10 people who visit a local store purchasemilk. If we randomly select a sample of 13 visitors to the store, what is theprobability that:Q.2.2.2 More than three of the visitors will purchase milk? Interpret youranswer.A city official claims that the proportion of all commuters who are in favor of an expanded public transportation system is 50%. A newspaper conducts a survey to determine whether this proportion is different from 50%. Out of 225 randomly chosen commuters, the survey finds that 99 of them reply yes when asked if they support an expanded public transportation system. Test the official’s claim at α= 0.05.Suppose you asked a sample of individuals if they are a Republican, Democrat, or Independent and also asked them for their opinion (for or against) on the death penalty. Is this a one-way Chi-square or a two-way Chi-square problem? If you asked 400 students to state their preference between 5 flavors of ice cream, what would the expected numerical frequency (E) be for each flavor? If you asked 100 students to state their preference between 3 different fast-food restaurants, how many degrees of freedom would you have?
- Nationally, at least 60% of Ph.D. students have paid assistantships. A collegedean feels that this is not true in his state, so he randomly selects 50 Ph.D.students and finds that 26 have assistantships. At α = 0.05, is the deancorrect?You watch people exiting Dodgers stadium after a game and you write down the number of males and the number of females that exit the stadium past you during the 20 minutes that you spend watching. You assumed that there would be a perfectly equal number of males and females attending a Dodgers game, but you look at the number of males and females that you actually counted, and you see if you still think that is actually true. What kind of hypothesis test would allow you to do this? a. One-Factor, Independent-Measures ANOVA b. Two-Factor ANOVA c. Correlation/Regression d. Chi-Square Goodness of FitAccording to a recent marketing campaign, 100100 drinkers of either Diet Coke or Diet Pepsi participated in a blind taste test to see which of the drinks was their favorite. In one Pepsi television commercial, an anouncer states that "in recent blind taste tests, more than one half of the surveyed preferred Diet Pepsi over Diet Coke." Suppose that out of those 100100, 5959 preferred Diet Pepsi. Test the hypothesis, using ?=0.05α=0.05 that more than half of all participants will select Diet Pepsi in a blind taste test by giving the following: (a) the test statistic (b) the critical ?z score
- A television executive believes that at least 99% of households in the US have at least one television. An intern at the executive's company is given the task of using a hypothesis test to determine whether the percentage is actually less than 99%. The intern decides to fail to reject the null hypothesis. If, in realiry, 96.7% of house holds own a television set, was an error made? if so, what type.he Coca-Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca-Cola Classic. Suppose that two years later, in 1987, a marketing research firm in Chicago compared the sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. To do this, the marketing research firm randomly selected 10 public buildings in Chicago having both a Coke machine (selling Coke Classic and New Coke) and a Pepsi machine.The Coca-Cola Data and a MINITAB Output of a Randomized Block ANOVA of the Data: Building 1 2 3 4 5 6 7 8 9 10 Coke Classic 46 133 123 41 152 35 62 217 122 86 New Coke 4 114 64 15 48 10 39 146 53 143 Pepsi 27 82 110 36 52 43 62 130 71 98 Two-way ANOVA: Cans versus Drink, Building Source DF SS MS F P Drink 2 8,147.4 4,073.70 5.68 .012 Building 9 53,434.8 5,937.20 8.28 .000 Error 18 12,914.6 717.48 Total 29…According to a recent marketing campaign, 00 drinkers of either Diet Coke or Diet Pepsi participated in a blind taste test to see which of the drinks was their favorite. In one Pepsi television commercial, an anouncer states that "in recent blind taste tests, more than one half of the surveyed preferred Diet Pepsi over Diet Coke." Suppose that out of those 100, 59 preferred Diet Pepsi. Test the hypothesis, using ?=0.05α=0.05 that more than half of all participants will select Diet Pepsi in a blind taste test by giving the following:
- In a drawing organized at the office, Monique purchased 10 of the100 tickets sold. If there are four prizes to be won, what is theprobability that she will win at least one prize?The television show Degenerate Housewives has been successful for many years. That show recently had ashare of 24, meaning that among the TV sets in use, 24% were tuned to Degenerate Housewives. Assumethat an advertiser wants to verify that 24% share value by conducting its own survey, and a pilot surveybegins with 14 households have TV sets in use at the time of a Degenerate Housewives broadcast.(a) Find P(none)(b) Find P(at least one)(c) Find P(at most one)A large shipment of computer chips comes with a guarantee that it contains no more than15% defective items. If the proportion of defective items in the shipment is greater than 15%,the shipment may be returned. You draw a random sample of 10 items. Let X be the numberof defective items in the sample. a. If in fact 15% of the items in the shipment are defective, what is P(X ≥ 2)?b. Based on the answer to part (a), if 15% of the items in the shipment are defective,would 2 defectives in a sample of size 10 be an unusually large number? c. If you found that 2 of the 10 sample items were defective, would this be convincingevidence that the shipment should be returned? Explain. d. If in fact 15% of the items in the shipment are defective, what is P(X ≥ 7)? e. Based on the answer to part (d), if 15% of the items in the shipment are defective,would 7 defectives in a sample of size 10 be an unusually large number?f. If you found that 7 of the 10 sample items were defective, would this be…