d. [4] Identify each of the following statements as true or false i. Since the s

Question

d. [4] Identify each of the following statements as true or false i. Since the standard error is 2.4%, we can conclude that 97.6% of all us. adult Twitter users were included in the study. if we construct a 90% con fidence interval for the percentage of us. adults Twitter users who get some news through Twitter, this confidence interval will be wider than a corresponding 99% confidence interval. i. ili. The data provide statistically significant evidence that more than half of U.S. adult Twitter users get some news through Twitter iv. If we want to reduce the standard error of the estimate, we should collect less data

Explanation / Answer

1)

False. Standard error is the ratio of standard deviation by square root of sample size. It does not represent the amount of population included in the study.

2)

False. 99% Confidence Interval is always wider than 90% confidence interval.

3)

Incorrect statement.

4)

False. Since Standard Error is inversely proportional to square root of sample size. So, as sample size decreases, std error increases.

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