Question

Which of the following conditions should be checked to determine if the sample proportion out of 298 students who receive at least one discipline referral will be approximately normally distributed?

A) The sample size is more than 30.

B) p < 0.05.

C) The sample size is less than 5% of the population.

D) (298 \times 0.34(1 - 0.34) = 66.9 > 10.

Choose the correct option(s):

A) only
B) only
C) only
D) only
A) and C)
B) and D)
All of the above
None of the above
Please select the correct option(s).

Answer 1

To determine if the sample proportion out of 298 students who receive at least one discipline referral will be approximately normally distributed, we need to check two conditions: (1) The sample size is at least 30, and (2) The sample size is less than 5% of the population. The correct option is (A) only.

Step-by-step explanation:

To determine if the sample proportion out of 298 students who receive at least one discipline referral will be approximately normally distributed, we need to check two conditions:

1. The sample size is at least 30. This condition is met in this case since the sample size is 298.
2. The sample size is less than 5% of the population. To check this condition, we need to compare the sample size (298) to 5% of the population. If 5% of the population is greater than 298, this condition is not met. In this case, we have no information about the size of the population, so we cannot say if this condition is met or not.

Therefore, the correct option is (A) only.