Question

Which confidence level will yield the interval that we are most confident in containing the actual value of the population parameter?

a. 99.2%
b. 99.5%
c. Our confidence in whether an interval actually contains the parameter is not affected by the choice of confidence level.
d. 99.9%

Answer 1

Which confidence interval is most likely to contain the population parameter?

✔ between 7.0 and 9.0 hours of sleep

Explanation:

Answer 2

The confidence level that will yield the interval that we are most confident in containing the actual value of the population parameter is (d) 99.9%

Explanation:

the confidence level can be explained simply as a range of values that are well defined and that they contain a specified probability that the value of a parameter lies within the confidence level.

for example when we compare a 99.2% confidence level and 99.9% confidence level, when we have a narrow confidence interval 99.2 (say) this implies that there is a smaller chance of obtaining an observation within that interval, so therefore, our accuracy is higher. Also a 99.2% confidence interval is narrower than a 99.9% confidence interval which is wider. The 99.9% confidence interval is more accurate than the 99.2%.

so that is why we concluded that the most confidence level is 99.9%.