Answer:
D) No, because either np or n(1−p) are less than 15.
Step-by-step explanation:
Percentage of students who had tattoos = 36%
Percentage of students who were smokers = 4%
Sample size = n = 100
The condition to use the Normal distribution as an approximation to construct the confidence interval for population proportion is:
Both np and n(1-p) must be equal to or greater than 15.
Since, we are interested in smokers only, so p = 4% = 0.04
np = 100 x 0.04 = 4
n (1 - p) = 100 x 0.96 = 96
Since, np < 15, we cannot use the Normal distribution as an approximation here.
Therefore, the correct answer is:
No, because either np or n(1−p) are less than 15.
