Question

We believe that 93​% of the population of all Business Statistics I students consider statistics to be an exciting subject. Suppose we randomly and independently selected 28 students from the population. If the true percentage is really 93​%, find the probability of observing 27 or more students who consider statistics to be an exciting subject.

Answer 1

the probability of observing 27 or more students 0.818

Explanation:

given data

sample n = 28 students

population = 93%

to find out

the probability of observing 27 or more students

solution

we will find Z value for CI 93%

from z table we get Z is 1.812 for Cl 93%

so P(27 ≤ Z ≤ 28)

we know Z = 0.182

= 1 - 0.182

= 0.818

the probability of observing 27 or more students 0.818