Question

What would happen if $40$ heads of lettuce were sampled instead of $20$, and the error bound remained the same?

Short answer

The confidence level would increase.

Step-by-step solution

Given Information

If $40$heads of lettuce were sampled instead of $20$.

Explanation

When you take a random sample numerous times, the confidence level refers to the proportion of probability, or certainty, that the confidence interval will contain the real population parameter.

We need to make the interval broader to acquire a higher level of confidence. This is reflected in the multiplier, which rises in proportion to the level of confidence. As the sample size grows, so does the width of the confidence intervals.

If $40$heads of lettuce were sampled instead of $20$, the confidence level would increase.