Answer:
The correct option is (D).
Step-by-step explanation:
To construct the (1 - <em>α</em>)% confidence interval for population proportion the distribution of proportions must be approximated by the normal distribution.
A Normal approximation to binomial can be applied to approximate the distribution of proportion <em>p</em>, if the following conditions are satisfied:
In this case <em>p</em> is defined as the proportions of students who ride a bike to campus.
A sample of <em>n</em> = 125 students are selected. Of these 125 students <em>X</em> = 6 ride a bike to campus.
Compute the sample proportion as follows:
Check whether the conditions of Normal approximation are satisfied:
Since , the Normal approximation to Binomial cannot be applied.
Thus, the confidence interval cannot be used to estimate the proportion of all students who ride a bike to campus.
Thus, the correct option is (D).