1st question According to a toy business, at least 80% of girls under the age of eight prefer dolls to otherforms of toys. We believe that this allegation is exaggerated after observing the purchasing patterns ofmany girls under the age of eight. To disprove this notion, we study the purchasing patterns of 20randomly selected girls under the age of eight, and we count X, the number of girls who purchasestuffed toys. We want to see if HO: p = 0.8 holds up against H1: p 0.8. Let's say we decide to accept HO ifx> 12 (i.e. X 13). This suggests that if X 12 (I.e. X 13) is true, we will reject HO.a. Find the rejection region of the form a = 0.05%3D

We have given that Sample size n = 20 Population proportion p=80%=0.80

Answered: question According to a toy business,…

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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1. The percentage of 12- to 17-year-olds who reported talking at least once in the past year with their parents about the dangers of drug, tobacco, or alcohol is 60% nationally. A state youth council believes this proportion is higher in their state, where there has been an intense media campaign about this issue. A survey of randomly chosen students from across the state shows 1032 of 1642 students reporting they are having these conversations with their parents. Is there evidence that the percent of students using drugs, tobacco or alcohol in this state is above the national rate?
1. A researcher was interested in understanding reproductive health among youth. She randomly selected a group of young persons and administered a questionnaire to collect information. Table 1 provides data on 10 respondents with their responses to selected questions. Respondent # How much of Gender a risk would Number of persons had sex with in the past months Frequency of Alcohol usage in the past 12 do you think you personally have of getting other STDS? 12 months (Risk of HIV) Moderate Risk Female No risk at all Little risk 1 Never Male Almost everyday Male Never Great risk Male Female 4 About once per week Once per month Almost everyday 1-3 drinks per month Moderate risk 6. No risk at all Female 1 7 Great Risk Male 3 8. No risk at all Female Never Little Risk No risk at all Female Male Almost every day About once per 9 10 month a. Refer to Table 1: Indicate the most appropriate measure of central tendency for each variable listed and give a reason for your choice. b. Suppose you…
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An art authenticator has a history of successfully identifying forgeries. Over her career, she has been asked to evaluate 74 actual forgeries and correctly identified 69 of them. Further, among all the authentic art she has looked at, she has never claimed any to be forgeries. An art dealer is considering purchasing a painting but is worried it is a fake. His experience in the field over the years indicates about 3% of the artwork he comes across is forged. a) If the dealer employs the services of the authenticator, and she indicates the painting is genuine, what is the chance it is actually a forgery? b) Without authentication, the dealer can sell the painting for $20,000. The price would increase to $25,000 if the painting were authenticated as genuine, but obviously it is worthless if it is deemed a forgery. The authenticator charges $2,000 for her services. Do you think it is worth it for the dealer to use the authenticator? Why or why not?
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5. A high school teacher wants to see if there is an effect on vocabulary recall between when students take a quiz before lunch and when they take it after lunch. She randomly selected 10 students and assessed them before lunch on Tuesday. On Wednesday she randomly selected 10 students and assessed them after lunch. The following were the percentage results Before lunch 62 60 68 64 72 75 63 60 64 80 After lunch 72 85 72 62 84 76 66 63 65 64 What type of samples were selected – independent or dependent (paired)? Explain. StatCrunch was used to analyze the data, and the output for both types of samples (independent and dependent) is given below. Using the appropriate output, determine if the mean quiz score is higher for those who take the quiz before lunch over those who take the quiz after lunch at a significance level of 0.05. Hypothesis test results: mean before lunch mean after lunch Hypothesis test results: : µi - µ2 : mean of the PAIRED difference µ2 : between Before and After…
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Two pieces of information were gathered from 1212 randomly selected cities in the United States: the number of persons owning registered firearms and the murder rate. It was observed that cities with more registered firearms tended to have higher murder rates. Part A: Which is the population of interest in this study? People who own registered firearms in the United States Cities in the United States People who live in U.S. cities People who were murdered in the United States Part B: Which is the sample in this study? People who live in the 121U.S. cities People who own registered firearms in the 12 U.S. cities 12 cities in the United States People who were murdered in the 12 U.S. cities Part C: What type of study is this? A census, because it uses data from the entire population A statistical study, because it uses data from a sample Part D: Which of the following was not a variable observed in this study? The number of registered firearms in a given city Murder…
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