Question

A true/false test has 60 questions. A passing grade is 56% or more correct answers. a. What is the probability that a person will guess correctly on one true/false question? b. What is the probability that a person will guess incorrectly on one question? c. Find the approximate probability that a person who is just guessing will pass the test. d. If a similar test were given with multiple-choice questions with four choices for each question, would the approximate probability of passing the test by guessing be higher or lower than the approximate probability of passing the true/false test? Why? a. What is the probability that a person will guess correctly on one true/false question? (Type an integer or a decimal.)

Answer 1

Ans) Given data n=60 a)P (guess Corvet ly) = – 2015 b)p(guess incorrectly)=1-4 -0.5 c) To pals, we need the proportion of correct to be above 0.56 2. P=0.5, n=60, la=0.5 o=felip) 10.5 +1 -0.5) 0 =0.0646 plx >0.56) = P(Z > 0:56.2015) E1-P1220.9288) = 0.1765 d) when there are u options for each question then plcorrect) ist=0.25 which is less than 0.5 Tin two choices. S since the probability of corretly answeeting the question decreases with increase in options, 0.0646

The probabitility of pausing the test by guessing in a choices is lower than the probability of passing the True false test.