This question asks you to extend the medical-test example from class. Suppose there is a medical condition that afflicts 20% of the population. There is a test for this condition, and the reliability of this test can be characterized as follows: false-positive rate = 10% for those who do not have the condition, 10% will test positive. false-negative rate = 5% for those who have the condition, 5% will test neg- ative. (a) If you receive a positive test result, what is the likelihood that you have the condition? If you receive a negative test result, what is the likelihood that you do not have the condition? (b) Repeat part (a), except now assume that the false-positive rate is 5% and the false-negative rate is 10%.

A survey by Men’s Health magazine stated that 14% of men said they used exercise to reduce stress. Could this be valid, or is it actually less than what the magazine claims? A random sample of 100 men was selected, and 10 said that they used exercise to relieve stress. If a=0.10, test a hypothesis and state your conclusion in context.

You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats.You sample 60 men, and 50% own cats.You sample 140 women, and 20% own cats.Find the test statistic, rounded to two decimal places.

Our professor wants us to calculate the test statistic and p-value by hand. The test statistic is correct. I can't get the p-value to save my life. Do you know what I am doing wrong??  (All of these p-value answers are incorrect: 0.25, .1230, 2.32, .0232, .02, and .01) An article published in the Washington Post claims that 45 percent of all Americans have brown eyes. A random sample of ?=78 college students found 30 who had brown eyes.Consider testing ?0:?=.45??:?≠.45 (a) The test statistic is ? = -1.16 (b) P-value =