A consumer products company found that 46% of successful products also received favorable results from test market research, whereas 14% had unfavorable results but nevertheless were successful. That is, P(successful product and favorable test market) = 0.46 and P(successful product and unfavorable test market) = 0.14.. They also found that 29% of unsuccessful products had unfavorable research results, whereas 11% of them had favorable research results, that is P(unsuccessful product and unfavorable test market) =0.29 and P(unsuccessful product and favorable test market) = 0.11. Find the probabilities of successful and unsuccessful products given known test market results, that is, P(successful product given favorable test market), P(successful product given unfavorable test market), P(unsuccessful product given favorable test market), and P(unsuccessful product given unfavorable test market). P(successful product given favorable test market) = (Round to two decimal places as needed.)

A consumer products company found that 46% of successful products also received favorable results from test market research, whereas 14% had unfavorable results but nevertheless were successful. That is, P(successful product and favorable test market) = 0.46 and P(successful product and unfavorable test market) = 0.14.. They also found that 29% of unsuccessful products had unfavorable research results, whereas 11% of them had favorable research results, that is P(unsuccessful product and unfavorable test market) =0.29 and P(unsuccessful product and favorable test market) = 0.11. Find the probabilities of successful and unsuccessful products given known test market results, that is, P(successful product given favorable test market), P(successful product given unfavorable test market), P(unsuccessful product given favorable test market), and P(unsuccessful product given unfavorable test market). P(successful product given favorable test market) = (Round to two decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

See similar textbooks

Similar questions

In a small study, a local community college investigated different indicators of college success. They found that: 0.36 of enrolled students had a full time job, 0.75 of enrolled students were enrolled full-time, and 0.19 of students enrolled full-tme also had a full-time job. According to the results of this study, are the outcomes "have a full-time job" and "enrolled full-time independent?
A consumer advocacy group wanted to study whether different airline carriers differed in terms of their delayed flights. In particular, the researchers were interested in the relationship between p1, the proportion of Alpha Airlines flights that were delayed at least 15 minutes, and p2, the proportion of Beta Airlines flights that were delayed at least 15 minutes. A random sample of 1,000 Alpha flights and a separate random sample of 1,000 Beta flights found that 67 of the Alpha fights and 160 of the Beta flights were delayed at least 15 minutes. The conditions for inference were checked and verified. Does this set of samples provide strong evidence that Alpha Airlines has a smaller proportion of flights that are delayed at least 15 minutes than Beta Airlines, at the α = 0.05 significance level? Find the z-table here. A. The test statistic is z = –6.56 and the P-value ≈ 0. Since the P-value ≈ 0 < 0.05, there is not sufficient evidence that Alpha Airlines has fewer delayed…
Two years ago the manager of a local supermarket that sells three national brands (brands A, B, and C) and one store brand (brand D) of orange juice found that brands A and C were equally preferred, 33% preferred brand B, and 27% preferred the store brand, D. Now, the manager thinks that there has been a change in customer preferences and that the preference for store-brand orange juice has increased and perhaps will positively contribute to increased profits. The results from a recent random sample of shoppers indicate the following preferences.Favorite brand A B C D (store brand)Number 56 70 28 126Has there been a change in customer preferences from the study 2 years ago?
Do well-rounded people get fewer colds? A study on the Chronicle of Higher Education was conducted by scientist at Carnegie Mellon University, the University of Pittsburgh and the University of Virginia. They found that people who have only a few social outlets get more colds than those who are involved in a variety of social activities. Suppose that of the 276 healthy men and women tested, n1=96 had only a few social outlets and n2=105 were busy with six or more activities. When these people were exposed to a cold virus, the following results were observed: Construct a 99% confidence interval for the difference in the two population proportions.
A well-known study of 22,000 male physicians was conducted to determine if taking aspirin daily reduces the chances of a heart attack. Half of the physicians were given a regular dose of aspirin while the other half was given placebos. Six years later, among those who took aspirin, 104 suffered heart attacks while among those who took placebos, 189 suffered heart attacks. Does it appear that the aspirin can reduce the number of heart attacks among the sample group that took aspirin? Use α = 0.05.
A survey of 900 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 57% of the females and 46% of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 300 females, 171 reported window tinting as their preferred luxury upgrade of choice, while of 600males, 276 reported window tinting as their preferred luxury upgrade of choice. a. Determine the zstat, and the p-value. b.Determine the critical values and a conclusion c. Construct a 95% confidence interval estimate of the difference between the two population proportions.
In studies examining the effect of humor on interpersonal attractions, McGee and Shevlin (2009) found that an individual’s sense of humor had a significant effect on how the individual was perceived by others. In one part of the study, female college students were given brief descriptions of a potential romantic partner. The fictitious male was described positively as being single and ambitious and having good job prospects. For one group of participants, the description also said that he had a great sense of humor. For another group, it said that he has no sense of humor. After reading the description, each participant was asked to rate the attractiveness of the man on a seven-point scale from 1 (very unattractive) to 7 (very attractive). A score of 4 indicates a neutral rating. The females who read the “great sense of humor” description gave the potential partner an average attractiveness score of M = 4.53 with a standard deviation of s = 1.04. If the sample consisted of n = 16…
The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. find the p value
An SRS of 250 male faculty at a large university found that 110 felt that the university was supportive of female and minority faculty. An independent SRS of 200 female faculty found that 70 felt that the university was supportive of female and minority faculty. Let pmpmpmpm and pfpfpfpf represent the proportion of all male and female faculty, respectively, at the university who felt that the university was supportive of female and minority faculty at the time of the survey. Is there evidence that the proportion of male faculty members who felt the university was supportive of female and minority faculty is larger than the corresponding proportion for female faculty members? Use α=0.10 A) Were the data appropriately collected for performing a two-sample z test on proportions? Group of answer choices No, because the 450 subjects in the study were not randomly allocated to one of the two treatment groups. Yes, because separate simple random samples were selected from the male and…
An SRS of 250 male faculty at a large university found that 110 felt that the university was supportive of female and minority faculty. An independent SRS of 200 female faculty found that 70 felt that the university was supportive of female and minority faculty. Let pmpmpmpm and pfpfpfpf represent the proportion of all male and female faculty, respectively, at the university who felt that the university was supportive of female and minority faculty at the time of the survey. Is there evidence that the proportion of male faculty members who felt the university was supportive of female and minority faculty is larger than the corresponding proportion for female faculty members? Use α=0.10 a)Suppose the p-value was 0.034. What conclusion should we make at α=0.01α=0.01α=0.01α=0.01? Group of answer choices Fail to reject the null hypothesis and conclude that the difference between the proportions of males and females who believe the university supports females and minorities is greater…
An SRS of 250 male faculty at a large university found that 110 felt that the university was supportive of female and minority faculty. An independent SRS of 200 female faculty found that 70 felt that the university was supportive of female and minority faculty. Let pmpmpmpm and pfpfpfpf represent the proportion of all male and female faculty, respectively, at the university who felt that the university was supportive of female and minority faculty at the time of the survey. Is there evidence that the proportion of male faculty members who felt the university was supportive of female and minority faculty is larger than the corresponding proportion for female faculty members? Use α=0.10 a) What are the appropriate null and alternative hypotheses? Group of answer choices H0: pm−pf=0pm−pf=0pm−pf=0pm−pf=0 vs. Ha: pm−pf>0pm−pf>0pm−pf>0pm−pf>0 H0: pm−pf=0pm−pf=0pm−pf=0pm−pf=0 vs. Ha: pm−pf<0pm−pf<0pm−pf<0pm−pf<0 H0: pm−pf=0pm−pf=0pm−pf=0pm−pf=0 vs. Ha:…
Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go") so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 48% of its customers order their food to go. Suppose that this proportion is correct and that a random sample of 50 individual customers is taken. A) Estimate the number of customers in the sample who order their food to go by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. B) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places