What is the most important issue facing the next president? In a January 2016 su

Question

What is the most important issue facing the next president? In a January 2016 survey of 1022 adults, the Gallup organization found that Republicans and Democrats agreed on the top four issues, and terrorism was reported as the top challenge by 17 percent of respondents, with a margin of error of plus or minus 4 percentage points at 95 percent confidence level. There is a 95 percent confidence that between 13 percent and 21 percent of Americans feel that the most important issue facing the next president is terrorism. Increasing the sample size will:

A) result in a wider interval because the margin of error will increase.

B) not affect the confidence interval at all.

C) result in a wider interval because there'll be more information.

D) result in a narrower interval because the margin of error will decrease.

E) result in a narrower interval because the average scores will change.

Sale of spinach that is contaminated with e coli can cause food poisoning among consumers. A food inspector takes an SRS of 400 bags from all the bags of spinach shipped in one day. The laboratory reports that 19 of these bags had e coli contamination. Unknown to the producer, 1 percent of all bags shipped had e coli. In this situation:

A) 19 is a parameter and 1 percent is a statistic.

B) 1 percent is an estimate and 19 is a margin of error.

C) 1 percent is a parameter and 19 is a statistic.

D) Both 1 percent and 19 are statistics.

E) Both 1 percent and 19 are parameters. 4.

Which of the following is correct?

A) Statistics describe sample characteristics.

B) Parameter and statistic are two names for the same thing.

C) Statistics describe population characteristics.

D) The population is a subset of the sample.

_____ in a sampling method means that the sample results will systematically misrepresent the population in the same way when one takes repeated samples.

A) Variability

B) Comparison

C) Bias

D) Confidence level

E) Confounding

What is the most important issue facing the next president? In a January 2016 survey of 1022 adults, the Gallup organization found that Republicans and Democrats agreed on the top four issues, and terrorism was reported as the top challenge by 17 percent of respondents, with a margin of error of plus or minus 4 percentage points at 95 percent confidence level. There is a 95 percent confidence that between 13 percent and 21 percent of Americans feel that the most important issue facing the next president is terrorism. For a 99 percent confidence, the range of points would be:

A) narrower because higher confidence requires a larger margin of error.

B) wider because higher confidence requires a larger margin of error.

C) narrower because higher confidence requires a smaller margin of error.

D) wider because higher confidence requires a smaller margin of error.

Explanation / Answer

1) D

With increase in sample size, margin of error decreases. As a result, interval will also narrow down

2) C

Parameter is the data summarized from entire population whereas Statistic is that summarized from a Sample

3) A

Statistics describe sample characteristics and is a subset of population

4) C

The bias is a method wherein expected values of sample differ from parameter being estimated

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