Question

1. For the choirmaster. A psalm of David. 2. Hear.my.troubles, O God. Kesp.me.safe from terror, The Department of Health of a certain state estimates a 10% rate of HIV for the general population Tests for HIV are 95% accurate in detecting both true negatives and true positives. Random see 5000 "at risk people and 20,000 people from the general population results in the following table. Use the table below to complete parts (a) through (e). at risk population and a 0.3% 2. Test Posite Test Negative Test Positive Test Negative 31 Infected Not Infected 469 228 994 8,946 Verify that incidence rates for the general and "at risk" populations are 0.3% detection rates for the general O A. Divide the number of infected patients by the number and 10% respectively. Also, verify that and"at risk" populations are 95%. How would you verify the incidence rates? of uninfected patients. O B. Divide the number of uninfected patients by the number of infected patients C. Divide the number of infected patients by the total number of patients. O D. Divide the number of uninfected patients by the total number of How would you verity the detection rates? A. Divide the total number of true positives by the total number of patients O B. Divide the total number of false positives by the total number of patients. O C. Divide the total number of true negatives by the total number of pationts O D. Divide the total number of false negatives by the total number of patients. b. Consider a patient in the "at risk population. Of those with HIV, what percentage test positive? Of those who test positive, what percentage have HIV? Explain why these two percentages are different. Of the patients in the "at risk" population with HIV % test positive. Of the patients in the"at risk" population who test positive, (Type an integer or decimal rounded to the nearest tenth as needed.) Why are these two percentages diterent? OA. The percentages are aiftferent because the people are in two different categories O B. The percentages are different because there are people being accounted for that don't have HIV in the second calcul ° C. The percentages are different because the first test includes everyone who tested positive O D. The percentages are different because people who test positive dont always have HIV and people who have HIV do c. Suppose a patient in the at risk category tests positive for the disease. As a doctor using this table, how w. describe the pationt's chance of actualy having the disease? Compare this igure to the overall rate of thr would you risk camegory D. The percentages are different because the people are in two ifferent categories o. Suppose a patient in the general population lests positve for the disease As a doctor using ths describe the disease, pahctualy having the disease? Compare this fgure wilth the overal inidence table, how wouild you rate of the The chance of the patient having HIV is (Type an integer or decimal rounded to the nearest tenth as needed.) %,compared to the overall incidence rate of 0.3%. (1) O less than greater than In the Senate of a particular Congress, there were 51 Democrats, 47 Republicans, and 2 the Senate, 17 are Democrats and 7 are Republicans. Complete parts (a) through (e) below 3. a. Given this information, complete the following table. Democrats Republicans Totals Men Totals 98 Type whole numbers.) b. What percentage of the Democratic and Republican senators are Republican women? Type an integer or decimal rounded to the nearest tenth as needed) c. Among the women in the Senate, what is the percentage of Republicans? Type an integer or decimal rounded to the nearest tenth as needed.) d. Among the Republicans in the Senate, what is the percentage of women? Type an integer or decimal rounded to the nearest tenth as needed.) e. Why is the percentage of women who are Republicans (part c) not equal to the percentage of Republicans who are women (part d)? Republic O A. In part c, the percentage is of O B. In part c, the percentage is of Type whole numbers.) f. Including the 2 Independents, which is more prevalent, women among all 100 senators or women among Democrats? The percentage of women among all senators is women, while in part d, the percentage is of Republicans, while in part d, the percentage is of % and the percentage of women among Democrats is %. Therefore, (1) are more prevalent. Type an integer or decimal rounded to the nearest tenth as needed.) (1) O women among all 100 senators O women among Democrats parts a through e 4 Consider the following hypothetical basketball records for college A and college B. Answer College A College B Home Games 10 wins, 19 losses 9 wins, 19 losses Away Games 12 wins,4 losses 56 wins, 20 losses a. Give below numerical evidence to support the claim that college A has a better team than college B. Choose the correct answer O A. College A won 10 of their home games, whereas college B won 9 of their home games. OB. Colege A lost only 23 games, whereas college B lost 39 games. O c. College A won about 34.5% of their home games and about 75% of their away games, whereas college B only won: b. Give numerical evidence to support the claim that college B has a better team than college A. Choose the correct answer below O A. College B won 65 games, whereas college A only won 22 games. B. College B won about 62.5% ofthe games they played, whereas college A only won about 48.9% of O C. College B won 56 away games, whereas college A only won 12 away games. c. Which claim do you think makes more sense? Why? the games they p The claim in part (1)_ makes more sense because it is based (2) (1) OA 2) O separately on home games and away games OB O on the total number of games played. O only on the home games. O only on the away games 5. Use the table below to answer the following question. What was the total number of women whose tests gave incorrect results? Tumor is Malignant 80 Tumor is Benign 1482 false positives 8403 Total 1562 Positive Mammogram true Negative Mammogram 16 8419 false rue Choose the correct answer below. O A. 1482 ОВ. 1562 O c. 1498 O D. 84003 OE. 80 OF. 16 METER does a false positive in a test for steroids mean? Choose the correct answer below A. A person tested negative but actually took steroids B. A person tested negative and did not actually take steroids. O C. A person tested positive and actually took steroids. O D. A person tested positive but did not actually take steroids. O E. A person took steroids but did not get tested. O F. The test could not detect for sure whether or not a person took steroids The table to the right is based on the assumption that 1% of breast tumors are malignant. It also assumes that mammogram screening is 85% accurate. Complete parts (a) through (c) below. 7. Tumor is Tumor is Malignant Benign Total Positive 85 1249 1334 15 8651 8666 100 9900 10.000 Mammogram Ma Total has a positive mammogram. What is the chance that she really has cancer? a. Suppose a patient has a positive mammogram Type an integer or decimal rounded to the nearest tenth as needed.) b. What is the chance of a positive mammogram, given that the patient has cancer? Type an integer or decimal rounded to the nearest tenth as needed.) ient has a negative mammogram. What is the chance that she actually does have cancer? (Type an integer or decimal rounded to the nearest hundredth as needed,)

Answer 1

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