A survey conducted at a shopping mall asked 250 individuals including 148 women about whether they were happy about the early closing of shops to control spread of corona. 117 of them responded in negative. Only 40 of the women said that they were happy with the early closure. Construct a 2-way contingency for gender and survey response and answer the following questions a. If a randomly selected person was a male, what is the probability that he would have responded “yes” b. What is the probability that a randomly selected male would have responded yes c. What is the probability that a randomly picked person who said yes is a female

A survey conducted at a shopping mall asked 250 individuals including 148 women about whether they were happy about the early closing of shops to control spread of corona. 117 of them responded in negative. Only 40 of the women said that they were happy with the early closure. Construct a 2-way contingency for gender and survey response and answer the following questions a. If a randomly selected person was a male, what is the probability that he would have responded “yes” b. What is the probability that a randomly selected male would have responded yes c. What is the probability that a randomly picked person who said yes is a female

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Based on a smartphone survey, assume that 57% of adults with smartphones use them in theaters. In a separate survey of 264 adults with smartphones, it is found that 149 use them in theaters. a. If the57% rate is correct, find the probability of getting 149 or fewer smartphone owners who use them in theaters. b. Is the result of 149 significantly low?
In a recent poll of female college students, 70% stated that they plan to graduate with a STEM degree. A math teacher decides to randomly sample 15 female college students. A. Find the probability that exactly 6 out of the 15 plan to graduate with a STEM degree. B. Find the probability that between 5 and 9 (inclusive) out of the 15 plan to graduate with a STEM degree. C. Find the probability that at least 7 out of the 15 plan to graduate with a STEM degree. D. Find the expected number of female college students out of the 15 that plan to graduate with a STEM degree.
Jenny works for a local brewing company. She and her team mates try to estimate the Hong Kong consumers’ preference on their beer brand compared to other imported ones. They performed a survey asking if the respondent prefers the company’s brand the most or not. Based on this survey result, they want to decide how much money the company needs to invest on brand promotions in the coming year. This is an important decision for the company, and the management wants to have the probability that the sample proportion p is +/- 3% from the actual proportion p to be very high (i.e., at least 99%). In this case, what is the desirable sample size n for the following two cases? Give the answer in the form of: at least ___ x100 samples. Case i. When the actual proportion is 50%. Case ii. When the actual proportion is 10%. Explain why the sample sizes required to achieve the same accuracy in the two cases are different.
Use the data in the following table that shows results from a polygraph (lie detector) conducted by researchers Charles R. Honts and Gordon H. Barland. In each case, it was known if the subjects lied or did not lie, so the table indicates when the polygraph was correct. If two different subjects are randomly selected without replacement, find the probability that they both lied.
A pharmaceutical company is running trials on a new test for anabolic steroids. The company uses the test on 400 athletes known to be using steroids and 200 athletes known not to be using steroids. Of those using steroids, the new test is positive for 375 and negative for 25. Of those not using steroids, the test is positive for 25 and negative for 175. What is the relative frequency of a false negative result (the probability that an athlete using steroids will test negative)? (Round your answer to two decimal places.) What is the relative frequency of a false positive result (the probability that an athlete not using steroids will test positive)? (Round your answer to two decimal places.)
Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?
Based on a smartphone survey, assume that 51% of adults with smartphones use them in theaters. In a separate survey of 248 adults with smartphones, it is found that 110 use them in theaters. a. If the 51% rate is correct, find the probability of getting 110 or fewer smartphone owners who use them in theaters. b. Is the result of 110 significantly low? a. If the 51% rate is correct, the probability of getting 110 or fewer smartphone owners who use them in theaters is (Round to four decimal places as needed.) b. Is the result of 110 significantly low? v because the probability of this event is v than the probability cutoff that corresponds to a significant event, which is Question Viewer Enter your answer in the answer box. ? PAGES 1377 NOV W 14 MacBook Air DII 80 888 F10 F6 F7 F8 F3 F4 F5 %24 2 3 4 7 R T. Y く0 E.
In an animal shelter, 100 cats and 50 dogs are being accommodated. Table below shows age group of the cats and dogs. a.Is the probability of being old equal in cats and dogs? Make a hypothesis test and report a p-value. b. What is the power of the test in part a? c.Why are there more old animals in shelters than young ones?
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 102 people in the 18-21 age bracket and finds that 87 of them respond and 15 refuse to respond. When 249 people in the 22-29 age bracket are contacted, 220 respond and 29 refuse to respond. Assume that 1 of the 351 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who responds. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. P(22-29 or responds) = %3D (Hint: It might be helpful to organize the data into a table first.) Submit Question 17,194 7. NOV tv 17 MacBook Air
In a Pew Research Center survey of Internet users, 3732 respondents say that they use social networking sites and 1380 respondents say that they do not use social networking sites. What is the probability that a randomly selected person uses a social networking site? Does that result suggest that it is likely (with a probability of 0.5 or greater) for someone to use social networking sites?