Orange tabbies. Suppose that 90% of orange tabby cats are male. Determine if the following state- ments are true or false, and explain your reasoning.
(a) The distribution of sample proportions of random samples of size 30 is left skewed.
(b) Using a sample size that is 4 times as large will reduce the standard error of the sample proportion by one-half.
(c) The distribution of sample proportions of random samples of size 140 is approximately normal.
(d) The distribution of sample proportions of random samples of size 280 is approximately normal.
Elderly drivers. The Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age. It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level.9
(a) Verify the margin of error reported by The Marist Poll.
(b) Based on a 95% confidence interval, does the poll provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65?
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