Question 1

A __________ provides a range of possible values for the correct value in a population, whether that correct value is a mean, a proportion, or something else.

Accepted Answer

The answer of A __________ provides a range of possible...

Question 2

Suppose someone has a theory that 'something interesting is happening' in the population.What type of statistical technique will they most likely use to 'prove' or 'disprove' their theory, a confidence interval or a hypothesis test?

Accepted Answer

The answer of Suppose someone has a theory that 'something...

Question 3

Suppose you do not know anything about what the true population mean is, and you want to estimate it using a sample mean.Which statistical technique would you use, a confidence interval or a hypothesis test?

Accepted Answer

The answer of Suppose you do not know anything about...

Question 4

When someone reports that their results are found to be 'statistically significant', which type of statistical technique was most likely used?

Accepted Answer

Statistical significance is usually determined through a hypothesis test, which compares the observed data to what might be expected by chance or under a null hypothesis. Confidence intervals and significance intervals provide information about the range of likely values for a population parameter, but do not directly determine statistical significance.

Question 5

Name the two basic techniques researchers use to summarize and draw conclusions about a population based on their statistical results from a sample.

Accepted Answer

The answer of Name the two basic techniques researchers use...

Question 6

Suppose a certain population was reported in the news as being 60% Republican.You take a random sample of 100 people from this population and find that 67% of your sample is Republican.What can you conclude about the news report, based on your sample results?

Accepted Answer

With a sample size of 100, the margin of error for a 95% confidence level is around +/- 10%. Therefore, a sample proportion of 67% falls within the expected range of 50% to 70% and does not provide strong evidence to dispute the news report's claim. Choice B is incorrect because a sample size of 100 can provide some information about the population, but the accuracy of the information depends on factors such as sample representativeness and sample size relative to the population size. Choice C is incorrect because the sample proportion is not too far away from the news report's claim to completely reject it without further analysis.

Question 7

Samples of size 2,500 will produce estimates of the population value that are __________ times more accurate than samples of size 25.(Assume the population is bell-shaped.Use standard deviation as a measure of accuracy.)

Accepted Answer

The answer of Samples of size 2,500 will produce estimates...

Question 8

Larger samples tend to result in __________ accurate estimates of population values than do smaller samples.

Accepted Answer

The answer of Larger samples tend to result in __________...

Question 9

Achieving statistical significance is equivalent to __________ the idea that chance alone can explain the observed results.

Accepted Answer

The answer of Achieving statistical significance is equivalent to __________...

Quiz 19: The Diversity of Samples From the Same Population