Over the last year, there were 80 sunny days. You can be 90% confident that the true proportion of sunny days in your life is between 0.184 and 0.255. Assume there are 365 days in a year.

Question

Quizplus · Accepted Answer

The confidence interval provided (0.184 to 0.255) gives an estimate of the true proportion of sunny days in the population, with a 90% degree of confidence. Since there were 80 sunny days in the sample of 365 days, the proportion of sunny days in the sample is 80/365 = 0.2192. Therefore, the confidence interval contains the sample proportion, which suggests that it is plausible that the population proportion falls within this range. Thus, it is likely that the statement is true.

Over the Last Year, There Were 80 Sunny Days