Suppose that 6% of a particular population have a particularly nasty disease. There is a test for the disease that correctly identifies those with the disease 98% of the time. However, the same test gives a false positive 1% of the time. Suppose that a random person from this population is given the test as part of a wellness exam. Give answers in decimal form rounded to 4 decimal places as needed. A. Suppose that a random person comes in for a wellness exam and tests positive for the disease. What is the probability that she actually has the disease? B. Suppose that a person comes in for a wellness exam and tests negative. What is the probability that this person does not have the disease? C. What proportion of the total population will test positive?

The mean entry level salary of an employee at a company is $60,000. You believe it is lower for IT professionals in the company. State the null and alternative hypotheses.

An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 10 6 8 10 6 3 10 3 8 After 6 7 4 4 8 6 4 9 3 7 Copy Data Step 2 of 3:…

Pregnant women are screened for a birth defect called Down syndrome. Down syndrome babies are mentally and physically challenged. Some mothers choose to abort the fetus when they are certain that their baby will be born with the syndrome. The most common screening is maternal serum screening, a blood test that looks for markers in the blood to indicate whether the birth defect may occur. The false-positive and false-negative rates vary according to the age of the mother.  Mother’s Age    False-Positive Rate    False-Negative RateUnder 30    0.040    0.37630-34    0.082    0.29035-37    0.178    0.269Over 38    0.343    0.029 The probability that a baby has Down syndrome is primarily a function of the mother’s age. The probabilities are listed here. Age    Probability of Down Syndrome25    1/130030    1/90035    1/35040    1/10045    1/2549    1/12 For each of the age 25, 30, 35, 40, 45 and 49, determine the probability of Down syndrome if the maternity serum screening produces a…