Quiz Active TIMEREMAINII When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probability, assuming a confidence level of \( 86 \% \) ? 0.14 0.8 0.95 0.95

To find the critical probability for a confidence level of \( 86\% \), we need to understand the relationship between the confidence level and the critical probability. 1. **Confidence Level**: The confidence level represents the proportion of the distribution that we expect to capture the true population parameter. In this case, the confidence level is \( 86\% \). 2. **Critical Probability**: The critical probability is the area in the tails of the normal distribution that is not included in the confidence level. It can be calculated as: \[ \text{Critical Probability} = 1 - \text{Confidence Level} \] 3. **Calculation**: \[ \text{Critical Probability} = 1 - 0.86 = 0.14 \] Thus, the critical probability for a confidence level of \( 86\% \) is \( 0.14 \). The correct answer is \( 0.14 \).