Which of the following probabilities for the sample points A, B, and C could be true if A, B, and C are the only sample points in an experiment? P(A) = 1/5, P(B) = 1/5, P(C) = 1/5 P(A) = 0, P(B) = 1/3, P(C) = 2/3 P(A) = 1/8, P(B) = 1/7, P(C) = 1/2 1/2, P(C) = 3/4 P(A)=1/4, P(B) =
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- A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 30 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more adult Americans does the researcher need to sample in the following cases? (a) 20% of all adult Americans support the changes (b) 25% of all adult Americans support the changes (a) The researcher must ask more American adults. (Round up to the nearest integer.)Do men and women have similar college majors? Researchers ask a group of college students about their majors. They also group the students by their gender. They want to determine if the distribution of college majors is the same for men and women. A chi-square Homogeneity Test at the 1% significance level is performed. (a) The null and alternative hypotheses are: H0: The distribution of the two populations are the same. Ha: The distribution of the two populations are not the same. (b) χ20=16.0 (c) χ20.01=9.210 (d) What conclusions can be made? Select all that apply. Select all that apply: We should reject H0. We should not reject H0. At the 1% significance level, there is sufficient evidence to conclude that the distributions of the two populations are not the same. At the 1% significance level, there is not sufficient evidence to conclude that the distributions of the two populations are not the same.The Humane Society of California reported in one of its most recent magazines that 11.6% of American Adults have both a cat and a dog in their household. Suppose that this data is based on a 1,000 randomly selected independent American adults. Which conditions did this study meet? The data is a (choose one: random or non random) sample We know that there are at least (provide a number here) successes and at least (provide a number here) failures
- A professor in the Accountancy Department of a business school indicated that there is much more variability in the final exam scores of students taking the introductory accounting course as a requirement than for students taking the course as part of their major. Random samples of 16 non-accounting majors and 10 accounting majors taken from the professor's class roster in his large lecture and the following results are computed based on the final exam scores: Non-Accounting Major (1) Accounting Major (2) n=16 n=10 S2 = 210.2 S2 = 36.5 Using =5%, the test and critical F-values, for the hypothesis test to support the professor's statement, respectively are: Select one: a. 5.7589 and 3.77 respectively b. 0.1736 and 3.77 respectively c. 5.7589 and 3.01 respectively d. 2.3998 and 3.01 respectivelyA sociologist hypothesizes that the expected proportion of the number of children in certain family units is: No Children (15%), One-child (24%), Two-children (30%), Three-children (18%), Four-children (8%), and more than four children (5%). To test his hypothesis, the researcher randomly samples 400 couples and observed the following proportion of offspring: No Children (42), One-child (101), Two-children (124), Three-children (72), Four-children (39), and more than four children (22). The proper analysis for this research study is:Consider an experiment with sample space S = {A,B,C}.If P(A)=0.3, P(B)=0.5, and P(C)=0.2, then(a) P( A or C ) = (b) P( B and C ) =
- Consider an experiment with sample space S = {A,B,C}.If P(A)=0.6, P(B)=0.2, and P(C)=0.2, then(a) P( B or C ) = (b) P( A and C ) =Hi. Good day. I need answers for items 7,8, and 9 with explanations. Thank you.A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more adult Americans does the researcher need to sample in the following cases? (a) 15% of all adult Americans support the changes (b) 20% of all adult Americans support the changes (a) The researcher must ask more American adults. (Round up to the nearest integer.)
- A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 30 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more adult Americans does the researcher need to sample in the following cases? (a) 15% of all adult Americans support the changes (b) 20% of all adult Americans support the changes ..... (a) The researcher must ask more American adults. (Round up to the nearest integer.) (b) The researcher must ask more American adults. (Round up to the nearest integer.)If, in a given sample space, P (A) = 0.6, P (B) = 0.40, and P (A and B) = 0.20, then the value of P (A or B) will beSuppose X and Y are uncorrelated random variables. Which of the following statements are true? Group of answer choices: the sample correlation for 10 data points sampled from the joint distribution of X and Y will be exactly 0. X and Y have no relationship X and Y are independent X and Y have no linear relationship