One hundred tomato plants were randomly selected from a large garden, and a 90% confidence interval was computed to determine the true proportion of plants that produce useable tomatoes. The interval is 0.86 to 0.92.What would happen to the width of the confidence interval if the confidence level increased to 95%?
Answer
A
The width of the interval would decrease.
B
The width of the interval would increase.
C
The width of the interval would stay approximately the same.
D
There are too many variables to consider to be able to determine how the width would be affected.
Explanation
Increasing the confidence level from 90% to 95% requires a wider interval so it is more likely to contain the true proportion. The width would therefore increase, so the correct choice is “The width of the interval would increase.”
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