A Car Manufacturer Looks at Past Sales and Realizes That

Multiple Choice

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