6. Consider a balanced study with six subjects,

identified as A, B, C, D, E and G. In the actual

study,

? Subjects A, B and C are assigned to the

first treatment, and the other subjects are

assigned to the second treatment.

? There are exactly four successes, obtained

by A, D, E and G.

This information is needed for parts (a)-(c) below.

(a) Compute the observed value of the test

statistic.

(b) Assume that the Skeptic is correct. Determine the observed value of the test statistic for the assignment that places C, D and

E on the first treatment, and the remaining

subjects on the second treatment.

(c) We have obtained the sampling distribution of the test statistic on the assumption

that the Skeptic is correct. It also is possible to obtain a sampling distribution of the

test statistic if the Skeptic is wrong provided we specify exactly how the Skeptic

is in error. These new sampling distributions are used in the study of statistical

power which is briefly described in Chapter 7 of the text. Assume that the Skeptic

is correct about subjects C, D and E, but

incorrect about subjects A, B and G.

For the assignment that puts D, E and G

on the first treatment, and the other subjects on the second treatment, determine

the response for each of the six subjects.

An unbalanced CRD is performed with a total of 800 subjects. Three hundred subjects are

placed on the first treatment and 500 are placed

on the second treatment. There is a total of 356

successes, with 126 of the successes on the first

treatment. Use the standard normal curve to obtain the approximate P-value for the third alternative, p1 6= p2.

13. A sample space has three possible outcomes, B,

C, and D. It is known that P(C) = P(D). The

operation of the chance mechanism is simulated

10,000 times (runs). The sorted frequencies of

the three outcomes (B, C, and D) are:

2322, 2360, and 5318.

(a) What is your approximation of P(B)? To

receive credit you must explain your answer.

(b) What is the best approximation of P(C)?

To receive credit you must explain your

answer.

14. A sample space has four possible outcomes, A,

B, C, and D. It is known that P(A) + P(B) =

0.60 and P(C)

chance mechanism is simulated 10,000 times

(runs). The sorted frequencies of the four outcomes (A, B, C, and D) are:

500, 1528, 2531, and 5441.

Use these simulation results to approximate

P(C) and P(D). To receive credit you must

explain your answers.

155 SECTION 3.2 Conditional Probability and the Multiplication Rule 27. Blood Types The probability that an African American person in the United States has type Of blood is 47%. Six unrelated African American people in the United States are selected at random. (Source: American National Red Cross) (a) Find the probability that all six have type O+ blood. (b) Find the probability that none of the six have type O+ blood. (c) Find the probability that at least one of the six has type O+ blood. inmal" Evplain3.3 Multiplication rule and Independent and mutually exclusive Distinguish Between Independent or Mutually Exclusive Events Given Conditional Probability Information Question Given the following information about events A and B . P(A) = 0 . P(A AND B) = 0 . P(B) = 0.25 Are A and B mutually exclusive, independent, both, or neither? Select the correct answer below: O A and B are independent because P( A AND B) = P(A) . P(B). O. A and Bare both independent and mutually exclusive. O A and Bare mutually exclusive because P(A AND B) = 0. O A and Bare neither independent nor mutually exclusive. FEEDBACK MORE INSTR Content attribution Previous Barch FACE address assignment TOP P trend is Utility app. 1 LABELViewYou=374775 - ac Search DA STATE H... 1 014115200 MCD - PASADE... 2 TriZetto Constituent Web... ( Care3609 % Log In to Availity Use the Multiplication Rule for Conditional Probabilities Question Given that the probability of a student having an unpaid internship is 0.33, and the probability of a student having a part- time job given that the student has an unpaid internship is 0.12, what is the probability of a student having a part-time job and an unpaid internship? Enter the full answer without rounding. Sorry, that's incorrect. Try again? " Basic 5 H DOWorksheet - Probability Addition and Multiplication Rules 1. A child's board game contains a spinner with three colors: orange, yellow, and green. a. Give the sample space for two consecutive spins b. Find the probability of observing at least 1 orange. c. Find the conditional probability that the first spin is orange given that there is at least 1 orange spin. 2. The following table lists the votes of 100 senators on a health care bill in the US senate. In Favor Against Democrat 23 21 Republican 43 Independent 2 If a voter is selected at random find a. The probability the voter is a Democrat and against the bill b. The probability the voter is Republican c. The probability the voter is Republican or voted against the bill d. The conditional probability the voter is against the bill given that the voter is Democrat