Out of 400 students sampled 300 of them said that they hoped to have children someday. With 99.7% confidence, what is the approximate percentage of the students in the population who hope to have children someday?
70.7% to 79.3%
68.5% to 81.5%
72.8% to 77.2%
66.3% to 83.7%
The margin of error for a 99.7% confidence level with a sample size of 400 is approximately 3%.
Since 300 out of 400 students sampled said they hoped to have children someday, the percentage in the sample is 300/400 = 75%.
Therefore, with 99.7% confidence, the approximate percentage of students in the population who hope to have children someday is 75% ± 3%.
This gives a range of 72% to 78%, or approximately 72.8% to 77.2%.
Therefore, the answer is 72.8% to 77.2%.