Reference no: EM132465110

Autism South Africa knows the true population proportion of children with ASD in special need school is 0.74. Assume a sample size of 100 children with ASD is selected and use this information to answer question 1 and 2.

Question 1

What is the probability that the sample proportion of children with ASD in special need schools is at least 0.7?

(1) 0.5000

(2) 0.1848

(3) 0.8186

(4) 0.6554

(5) 0.3446

Question 2

What is the probability that the sample proportion is between 0.7 and 0.84 i.e. P(0.7 ≤ p ≤ 0.84) =?

(1) 0.9887

(2) 0.9940

(3) 0.9887

(4) 0.7996

(5) 0.1922

Question 3

Which one of the following statements is incorrect with regard to the standard normal distribution?

(1) The standard normal distribution has a median of zero.

(2) The standard normal distribution is symmetric around the mean of zero.

(3) The standard normal distribution has a standard deviation of 1.

(4) The standard normal distribution has a variance of 1.

(5) The area to the right side of the mean is 1 and the area to the left side of the mean is also 1

Question 4

Which if the following measures controls the spread or flatness of a normal distribution?

(1) Mean.

(2) Median.

(3) Mode.

(4) Variance.

(5) None of the above.

Question 5

Which one of the following is not a property of a binomial distribution?

(1) Each experiment has n trials.

(2) The n trials are independent of each other.

(3) Each trial has two possible outcomes that are mutually exclusive i.e. a success and a failure

(4) The probability of success remains the same for all trials.

(5) The probability of success is always 1/2 because of there are two outcomes.