Regents Questions of Independence1) Given events A and B, such that P(A) = 0.6, P(B) = 0.5, and P(A U B) = 0.8, determinewhether A and B are independent or dependent.2) The results of a poll of 200 students are shown in thetable to the right. For this group of students, do thesedata suggest that gender and preferred music styles areindependent of each other? Justify your answer.Preferred Music StyleTechnoRap CountryFemale542527Male364018

1)Given thatP(A)=0.6P(B)=0.5P(A∪B)=0.8Now it is known…

Answered: Regents Questions of Independence 1)…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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A survey is conducted to determine if there is a Because the P-value of this test is large, there is not convincing evidence that the distribution of responses for the population of all students, parents, and teachers of this large high school differs. For which categories are the observed counts greater than expected? difference in the proportion of students, parents, and teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the tables. Observed counts: O There were more students than expected who do Student Parent Teacher Yes No not volunteer, and more parents and teachers than expected who do volunteer. 24 12 6 Volunteer? 21 13 6 There were more students than expected who do volunteer, and more parents and teachers than expected who do not volunteer. Expected counts: There were more teachers than expected who do Student Parent Teacher not volunteer,…
Determine whether the study is an experiment or an observational study, and then identify a major problem with the study. In a survey, 1465 Internet users chose to respond to this question posted on a newspaper's electronic edition: "Is news online as satisfying as print and TV news?" 52% of the respondents said "yes." This is an ________________observational study experiment because the researchers________________________ apply a treatment to do not attempt to modify the individuals. What is a major problem with the study? A. The sample is not very large. B. There is no blinding or replication, which has a high chance of leading to bias. C. The results apply only to Internet users. D. This is a convenience sample with voluntary response, which has a high chance of leading to bias.
a. The table below show the proportion of men and women who plan to vote in the next election. Three hundred men and 300 women were randomly selected and asked whether they planned to vote in the next election. men women plan to vote 170 185 do not plan to vote 130 115 What is the relative risk (likelihood) that men will vote versus men will not vote? a.1.567 b. 1.308 c. 0.583 d. 1.433 e. 0.764 b. During a poll, 115 people were randomly selected and asked their political party affiliation. The contingency table below shows the results cross-classified by political party affiliation and sex. Democrat Republican other total male 16 23 25 64 female 28 12 11 51 total 44 35 35 115 Find the conditional distribution of Republicans who are men. a. 0.557 b. 0.657 c. 0.20 d. 0.359 e. 0.25 c. For the given sample data and null hypothesis, compute the value of the test statistic. The claim is that the…
Gender and Award Preference: A two-way table showing preferences for an award (Academy Award, Nobel Prize, Olympic gold medal) by gender for the students sampled in shown below. Test whether the data indicate there is some association between gender and preferred award. Use a=.05 Two-way table of gender and preferred award Academy Nobel Olympic Total Female 20 76 73 169 Male 11 73 109 193 Total 31 149 182 362 How many degrees of freedom do we have for this test? Find the value of the chi-square statistic for the sample. Find the p-value. Do you reject the null hypothesis? Yes or no.
Identify the two events described in the study and determine if the results indicate that the events are independent or dependent. Explain your reasoning. A study found that there is no relationship between being around cell phones and developing cancer.
Dr. Cy Clopps is ophthalmologist and owner of the Spex Appeal Eye Clinic. A review of 100 patient’s records indicated that 30 of these patients have vision insurance. Further, 35 of the 100 patients got bifocal glasses but had no insurance. Finally, 10 of the 100 patients had insurance but did not get bifocals. d. Of those with insurance, what proportion got bifocals? e.Are the events independent? Mutually exclusive? Collectively exhaustive?
Selecting the Appropriate Inferential Test: For each of the studies below, please identify the following (or indicate N/A "not applicable" if the feature is not relevant to the design): a) Independent Variable(s) (IVs) and # of levels for any IVs (for Correlation/Regression, identify the predictor and predicted variable rather than IV and DV) b) Dependent Variable (DV) c) Scale of Measurement for the Dependent Variable: (Nominal, Ordinal, Interval, Ratio) for Correlation/Regression please make sure you identify the scale of measurement for both variables d) Appropriate Statistical Test (If it is a Factorial ANOVA, make sure to name the design: e.g., 2 X 2, 2 X 3, etc.)
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