In аn effоrt tо predict the оutcome of аn upcoming election, reseаrchers took a random sample of 1,225 people and asked them if they were voting for candidate A or not. Of those people sampled, 637 (52%) said that they were voting for candidate A. Using this data, the researchers calculated that the margin of error at a 95% confidence level was 0.028, or 2.8 percentage points. Thus, a 95% confidence interval on the true proportion is (0.492, 0.548), which is not very helpful in predicting the outcome of an election. In order to reduce the margin of error by a quarter and maintain a 95% confidence level, the researchers should multiply the sample size by...
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