A company is analyzing the makeup of its employees based on gender and education level.      What is the expected value in the shaded cell of the two-way contingency table?

13. Consider a town in which 90% of the taxis are blue and 10% are green. One night a taxi hits a pedestrian and speeds off. A witness says.that the taxi was green. The pedestrian sues the Green Cab Co. The court orders a test of the witness's nighttime color perception. The test reveals that the witness correctly identifies 70% of blue color samples and 80% of green color samples. If a juror were to employ the representativeness heuristic to estimate the probability that the cab is green, he would overestimate that probability by the amount (a) 9/10 (b) 33/70 (c) 4/7 (d) 8/35 (e) 10/21

14. Identifying individuals with a high risk of Alzheimer's disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results. The following data represent results similar to those obtained in the study. 18. 7-Minute Screen Cognitive Series Patient 3 11 8. 19 10 22 8. 20 4. 14 13 4 9. 20 14 25 a. Compute the Pearson correlation to measure the degree of relationship between the two test scores. b. Is the correlation statistically significant? Use a two-tailed test with a = .01. c. What percentage of variance for the cognitive scores is predicted from the 7-Minute Screen scores? (Compute the value of r.) 15. For a two-tailed test with a = .05, use Table R 6 to ABCD EFGH

10. 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. If you were conducting 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, what would the null and alternative hypotheses be? a. Ho: b. Ha

5. Researchers are investigating household-income level and whether the family owns their home or rents, in a particular city. They will consider the proportion of high-income households who own their home and the proportion of low-income households who own. They want to check whether the two categorical variables (income level and home-own-v.-rent) are related. Test at the 0.01 significance level.Table of number of households in each sub-category. Data Own Rent high-income 47 50 low-income 34 44 a) Identify the correct alternative hypothesis for this test. Household income level and home-ownership-v.-renting are independent. There is a relationship between household income level and home-ownership-v.-renting. There is no relationship between household income level and home-ownership-v.-renting. Household income level varies much more than home-ownership-v.-renting proportions. b) The χ2χ2test statistic value is:   c) The P-value is: d) Based on this, we Reject H0H0 Do…

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8. Please answer

1. A health insurance company wants to see if customers are choosing plans according to their predictions. They offer four plans: PT (Pretty Terrible), TOK (Totally OK), MF (Maybe Fine), SP (Super Premium). The company expects 1/5 of customers to pick the first three plans and 2/5 of customers to pick the Super Premium plan. They take a sample of 25 customers to evaluate their prediction. (a) Write the expected counts for this sample in a table. (b) The sample turns out to have 3 customers choosing PT, 2 choosing TOK, 8 choosing MF, and 12 choosing SP. Run a x² test to identify if this sample is statistically significant at the 5% level. (c) Do you think that 5% is an appropriate level to use here?