. In the past few years, outsourcing overseas has become more frequently used than ever before by U.S. companies. However, outsourcing is not without problems. A recent survey by Purchasing magazine indicates that 20% of the companies that outsource overseas use a consultant. Suppose 15 companies that outsource overseas are randomly selected. What is the probability that more than eleven companies that outsource overseas use a consultant? Round your answer to 3 decimal places when calculating using Table A.2.

5. A study conducted by Pew Research Center reported that 58% of cell phones owners used their phones inside a store for guidance on purchasing decisions. A sample of 20 cell phone owners is studied. What is the probability that more than 72% use their phones inside a store for guidance on purchasing decisions? Include the calculator function & values you used to compute the answer. (Round to 3 decimals)

Suppose a large shipment of laptop computers contained 12% defectives. If a sample of size 286 is selected, what is the probability that the sample proportion will be less than 7% ? Round your answer to four decimal places.

Jenny works for a local brewing company. She and her team mates try to estimate the Hong Kong consumers’ preference on their beer brand compared to other imported ones. They performed a survey asking if the respondent prefers the company’s brand the most or not. Based on this survey result, they want to decide how much money the company needs to invest on brand promotions in the coming year. This is an important decision for the company, and the management wants to have the probability that the sample proportion p is +/- 3% from the actual proportion p to be very high (i.e., at least 99%). In this case, what is the desirable sample size n for the following two cases? Give the answer in the form of: at least ___ x100 samples. Case i. When the actual proportion is 50%. Case ii. When the actual proportion is 10%. Explain why the sample sizes required to achieve the same accuracy in the two cases are different.