FORESTRY
AGRICULTURAL STATISTICS AND ECONOMICS
|
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
|
|
|
becomes wider
|
|
|
becomes narrower
|
|
|
does not change
|
|
|
None of the above
|
Detailed explanation-1: -Calculating a C% confidence interval with the Normal approximation. ˆp±z√ˆp(1−ˆp)n, where the value of z is appropriate for the confidence level. For a 95% confidence interval, we use z=1.96, while for a 90% confidence interval, for example, we use z=1.64.
Detailed explanation-2: -A 90% confidence level means that we would expect 90% of the interval estimates to include the population parameter; a 95% confidence level means that 95% of the intervals would include the parameter; and so on.
Detailed explanation-3: -Answer. Answer: If we had a larger sample size with around the same standard deviation, the 95% confidence interval would be narrower. This is because a larger sample size provides more information and reduces the standard error of the estimate, which leads to a narrower interval.