Given:
A sample has a sample proportion of 0.3.
Required:
Which sample size will produce the widest 95% confidence interval when estimating the population parameter.
Step-by-step explanation:
What are population and sample?
It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.
We have:
A sample has a sample proportion of 0.3.
Level of confidence = 95%
At the same confidence level, the larger the sample size, the narrower the confidence interval.
As we have a 95% confidence interval the sample size should be lower.
The sample size from the option = 40 (lower value).
Answer:
Thus, the sample size of 40 will produce the widest 95% confidence interval when estimating the population parameter option (b) is correct.