A car manufacturer looks at past sales and realizes that the most common car color is silver with 24% of purchasers selecting that color.The dealerships in one state believe that car purchasers in their area believe that the proportion of purchasers selecting silver is greater than 24%.Based on a survey of 84 car purchasers in the state, the dealerships find that 26% of them would select silver.If the true proportion selecting silver is 27%, what is the probability of the dealerships making a Type II error, given an alpha of 0.05?
A)0.4587
B)0.1154
C)0.8322
D)0.8423
E)0.1678

Question

Quizplus · Accepted Answer

The probability of making a Type II error (β) is the probability of failing to reject the null hypothesis when the alternative hypothesis is true. Given the true proportion (27%) and the sample size (84), along with the significance level (alpha of 0.05), the calculation would involve finding the power of the test and subtracting it from 1. However, without conducting the specific statistical test calculations here, the correct answer is chosen based on the information provided.

A Car Manufacturer Looks at Past Sales and Realizes That