A certain virus affects 0.5% of the population. A test used to detect the virus in a person is positive 90% of the time if the person has the virus (true positive) and 15% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people.   Virus No Virus Total Positive Test          Negative Test          Total       100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign.    % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.

A randomly sampled group of patients at a major U.S. regional hospital became part of a nutrition study on dietary habits. Part of the study consisted of a 50-question survey asking about types of foods consumed. Each question was scored on a scale from one (most unhealthy behavior) to five (most healthy behavior). The answers were summed and averaged. The population of interest is the patients at the regional hospital. The current survey was implemented after patients were subjected to this education, and it produced the following sample statistics for 25 patients sampled:  and s = 1.02. We would like to know if the education improved nutrition behavior. We test the hypotheses H 0:  = 2.9 versus Ha:  > 2.9. The value of the t test is 1.96, and:   a. P-value > 0.1.   b. 0.025  P-value < 0.05.   c. 0.25  P-value < 0.01.   d. 0.05  P-value < 0.1.   Given the least squares regression line y = 3 x – 3, which of the following is true?   a. The…

Dr. Jones conducted a study examining the relationship between the amount of sugar in a child’s diet and the activity level of the child. A sample of 30 four-year-old children from a local preschool was used in the study. Sugar consumption was measured by interviewing the parents about each child’s diet. Based on the result of the interview, each child was then placed into one of two groups: high sugar consumption and low sugar consumption. Activity level was measured by observing the children during a regular preschool afternoon. Finally, Dr. Jones compared the activity level for the high-sugar group with the activity level for the low-sugar group. Explain why Dr. Jones’ study is not an example of the experimental research strategy and provide way that it can be tested experimentally.