A new diagnostic test is developed to determine if a patient has influenza. To determine if the test is effective, a large number of people who visit a doctor over a period of time are tested. Roughly 5% of people test positive for the flu with the new test. From the people who test positive, it is subsequently determined with more accurate blood tests that 90% of them actually have the flu. From the people who test negative with the new test, it is subsequently determined that 1% of them have the flu. Calculate the risk ratio of having the flu between the groups who test positive and negative, and interpret the value in the context of the study.

A popular, nationwide standardized test taken by high-school juniors and Españ seniors may or may not measure academic potential, but we can nonetheless attempt to predict performance in college from performance on this test. We have chosen a random sample of students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (from o to 4) for her first year in college. The data are shown below, with x denoting the score on the standardized test andy denoting the first-year college grade point average. The least-squares regression line for these data is 1.1239+0.0015x. This line is shown in the scatter plot below. Standardized test score, .x 1360 1100 790 1280 890 Grade point average, y 3.77 2.28 2.35 2.91 2.64 2.22 3.18 3.34 2.36 3.30 3.02 2.88 860 1400 1510 1000 1250 1060 1210 1020 940 1510 Send data to calculator ✓ Send data to Excel 3.07 2.29 3.01 Grade point average, 34- 324 900…

(iii) Find (or estimate) the P-value. OP-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005< P-value < 0.025 OP-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. O -4 -2 0 2 2 M 2 DO Q -2 -2 (iv) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (v) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there…

A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 273273 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Diseased Not Diseased Total Vaccinated 5757 6262 119119 Not Vaccinated 8383 7171 154154 Total 140140 133133 273273 Copy Data Step 6 of 8 :   Find the critical value of the test at the 0.0050.005 level of significance. Round your answer to three decimal places.