A public relations firm found that only 77% of voters in a certain state are satisfied with their state representative. How large a sample of voters should be drawn so that the sample proportion $\hat { p }$ of Voters who are satisfied with their representative is approximately normally distributed?
A) 44
B) 10
C) 13
D) 61

Question

Quizplus · Accepted Answer

The sample size should be at least 10 times the size of the largest expected cell. In this case, the largest expected cell is 0.23 * n, where n is the sample size. So, we need 0.23 * n >= 10, which gives n >= 43.48. The smallest integer that satisfies this inequality is 44.

A Public Relations Firm Found That Only 77% of Voters p^\hat { p }p^​

A Public Relations Firm Found That Only 77% of Voters $\hat { p }$