Question

In the movie Slumdog Millionaire, a contestant on the Indian version of “Who Wants to

be a Millionaire?” attempts to answer 15 multiple choice questions correctly. Suppose

the proportion of contestants able to answer the first ten questions correctly is 0.1990.

16. From a random sample of 100 people, what is the probability of no more than 20

people answering the first ten questions correctly?

A) 0.5120 B) 0.0250 C) 0.2000 D) 0.4880

17. If a random sample consists of 24 people, what can be said about the sampling

distribution of the sample proportion?

A) It may not be normal with a standard error of 0.00664.

B) It is approximately normal with a standard error of 0.0815.

C) It is approximately normal with a standard error of 0.0962.

D) It may not be normal with a standard error of 0.0815

Answer 1

16)

for normal distribution z score =(p̂-p)/σp
here population proportion=     p=	0.199
sample size       =n=	100
std error of proportion=σp=√(p*(1-p)/n)=	0.0399

probability of no more than 20 people answering the first ten questions correctly :

probability =

P(X<0.2)

=

P(Z<0.03)=

0.5120

option A is correct

17)

D) It may not be normal with a standard error of 0.0815