can we conclude at 0.05 level of significance that brand A outsells brand B?
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- 3. Statistic or parameter ? a.Researchers want to determine what percentage of Maryland residents are in favor of the death penalty. Suppose that 7% of a random sample of 1200 residents are in favor of the death penalty. This percentage (7%) would represent statistic/parameter b. The online MBA director at a large business school surveys a sample of current students to determine their level of satisfaction with the program. She finds that 67% of them are "very satisfied" with the online program. This result is statistic/parameter. c. All the third graders in a county were asked to complete a survey about who likes vanilla ice cream. 90% response was in favor of the flavor. This is statistic/parameter. d. The average Statistics test scores of all students in in PGCC a. A study took a group of adults and randomly divided them into two groups. One group was told to drink tea every night for a week, while the other group was told not to drink tea that week. Researchers then compared when…A study is conducted in a large high school to determine if the proportion of students who plan to come to the upcoming football game differs across the grades. A random sample of 50 ninth graders, 50 tenth graders, 50 eleventh graders, and 50 twelfth graders was selected. The responses are displayed in the table. The principal would like to know if these data provide convincing evidence that the distribution of responses differs across the grades in the population of all students in her school. The random and 10% conditions are met, and this table of expected counts shows that all expected counts are at least 5. What is the value of the chi-square test statistic for this test? χ‑2 = 0.49 χ‑2 = 0.70 χ‑2 = 0.84 χ‑2 = 200A team of researchers would like to determine whether the number of households that use the internet for more than an hour a day is greater in large cities or small towns. To do so, the researchers take two random samples. The first sample consists of randomly selected people who live in cities with more than 500,000 people around the country. The second sample consists of randomly selected people who live in towns with fewer than 20,000 people. Are these samples dependent or independent? Select the correct answer below: O These samples are independent. O These samples are dependent. Not enough information is provided to determine independence.
- Health researchers wish to compare the efficacy of the Moderna vs. Pfizer Vaccine. Here are 4 possible reasons that it would not make sense to run a matched pair experiment for such a study. Pick the TWO that are correct. 1: You would not be able to find twins willing to be part of such an experiment 2: You could not get two large independent samples for the purposes of comparison. 3: It would be hard to match two people for this test, since researchers do not yet understand what individual factors contribute to the variation of immunity to this disease. 4: It would make no sense to test both vaccines on one person and compare the outcomes. The two that are correct are: Oa. 1 and 4 The two that are correct are: 1 and 3 Ob. The two that are correct are: O c. 1 and 4 The two that are correct are: O d. 2 and 3 The two that are correct are: 3 and 4 O e.Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.The director of student services at Oxnard College is interested in whether women are just as likely to attend orientation as men before they begin their coursework. A random sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation. The results of the survey are shown below: Data for Gender vs. Orientation Attendance Women Men Yes 440 410 No 238 239 What can be conduded at the a - 0.10 level of significance? For this study, we should use z-test for a population proportion a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal and note that p1 and ul represent the proportion and mean women and and u2 represent proportion and mean for men.) H: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic ? v (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d.…
- 4. In clinical trials for treatment of a skin disorder, 697 of 2115 patients receiving a NEW proposed treatment were cured of the disorder and 642 of 2060 patients receiving the current standard treatment were cured of the disorder. Each sample is the result of a randomized experiment. Perform a Hypothesis Test using a = 0.05 level of significance, and determine if there is evidence to conclude that the NEW treatment cures a higher proportion of patients than the current treatment. 1) Set up a Hypothesis Test, 2) verify requirements, 3) use both the classical and p-value approach to justify and show results of the Hypothesis Test, and 4) state your conclusion.a firm has two investment projects project A : expected profit = $ 670 SD = 175 coefficient of varience = 0.26 project B : expected profit = $700 SD = 370 coefficient of variance = 0.53 a. which project has a lower absolute risk ? b. whick project has a lower relative risk ? C . which project would you advice the firm to choose ?A clinical psychologist is interested in determining which type of therapy is in fact more effective at treating depression. The psychologist randomly assigns 1/3rd of the participants to receive cognitive behavioral therapy, 1/3rd to receive the psychodynamic therapy and 1/3rd to receive humanistic therapy. Following the therapy sessions, the psychologist gives the members of each group the Beck Depression Inventory and compares the scores of the three groups. 1 What hypothesis test would be most appropriate for answering this research question and why? 2 If the researcher found that at least one of groups differed, what type of follow-up test would be most appropriate? 3 What are the independent and dependent variables (if any)?
- College students and STDs: A recent report estimated that 25% of all college students in the United States have a sexually transmitted disease (STD). Due to the demographics of the community, the director of the campus health center believes that the proportion of students who have a STD is higher at his college. He tests H0: p = 0.25 versus Ha: p > 0.25. The campus health center staff select a random sample of 150 students and determine that 43 have been diagnosed with a STD. Conduct a hypothesis test to address the director’s hypothesis. Use a 5% significance level to make your decision. Use the applet to determine the P‑value. Click here to open the applet. Which of the following is an appropriate conclusion based on the results? The data provides strong evidence that the proportion of students at his college who have a STD is more than 25%. The data suggests that the proportion of students at his college who have a STD is 29%. Of the students surveyed at his college, 29%…Specify the Rejection Level for the following and Be sure to indicate why you chose this rejection level. 1. One-tailed Research Hypothesis: College students will miss fewer classes during the flu season after receiving the flu vaccine. 2. Null Hypothesis: There is no relationship between receiving a flu vaccine and the number of classes students miss during flu season.In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consisted of 201,229 children given the Salk vaccine for polio, and the other 200,745 children were given a placebo. Among those in the treatment group, 33 developed polio, and among those in the placebo group, 115 developed polio. If we want to use the methods for testing a claim about two population proportions to test the claim that the rate of polio is less for children given the Salk vaccine, are the requirements for a hypothesis test satisfied? Explain. A The requirements are not satisfied; the samples are not simple random samples that are independent. B. The requirements are satisfied; the samples are simple random samples that are independent, and for each of the two groups, the number of successes is at least 5 and the number of failures is at least 5. C. The requirements are satisifed; the samples are simple random samples…
