ECON 262
A Type II error is made when we reject the null hypothesis and the null hypothesis is actually false.
False
On the basis of sample information, we either "accept the null hypothesis" or "reject the null hypothesis."
False
On the basis of sample information, we either "accept the null hypothesis" or "reject the null hypothesis."
False
The alternative hypothesis typically agrees with the status quo.
False
The critical value approach specifies a range of values, also called the rejection region, such that if the value of the test statistic falls into this range, we do not reject the null hypothesis.
False
The difference between the two sample means X⎯⎯⎯1−X⎯⎯⎯2 X ¯ 1 − X ¯ 2 is an interval estimator of the difference between two population means μ1−μ2 μ 1 − μ 2 .
False
The t statistic is used to estimate the difference between two population proportions.
False
Two random samples are considered independent if the observations in the first sample are different from the observations of the second sample.
False
Suppose you want to perform a test to compare the mean GPA of all freshmen with the mean GPA of all sophomores in a college? What type of sampling is required for this test?
Independent sampling with quantitative data
A Type I error is committed when we reject the null hypothesis which is actually true.
True
A hypothesis test regarding the population mean µ is based on the sampling distribution of the sample mean X−.
True
A hypothesis test regarding the population mean μ is based on the sampling distribution of the sample mean Xbar.
True
As a general guideline, we use the alternative hypothesis as a vehicle to establish something new, or contest the status quo, for which a corrective action may be required.
True
For a given sample size, any attempt to reduce the likelihood of making one type of error (Type I or Type II) will increase the likelihood of the other error.
True
For a given sample size, any attempt to reduce the likelihood of making one type of error (Type I or Type II) will increase the likelihood of the other error.
True
In a one-tailed test, the rejection region is located under one tail (left or right) of the corresponding probability distribution, while in a two-tailed test this region is located under both tails.
True
In a one-tailed test, the rejection region is located under one tail (left or right) of the corresponding probability distribution, while in a two-tailed test this region is located under both tails.
True
The null hypothesis typically corresponds to a presumed default state of nature.
True
Under the assumption that the null hypothesis is true as an equality, the p-value is the likelihood of observing a sample mean that is at least as extreme as the one derived from the given sample.
True
We use the difference between the sample proportions p⎯⎯1−p⎯⎯2 p ¯ 1 − p ¯ 2 as the point estimator of the difference between two population proportions p1−p2 p 1 − p 2 .
True
A left-tailed test determines whether μ1is _____ then μ2.
less
In general, the null and alternative hypotheses are __________.
mutually exclusive
If the null hypothesis is rejected at a 1% significance level, then _____________.
the null hypothesis will be rejected at a 5% significance level
If the chosen significance level is α = 0.05, then ____________________________________________.
there is a 5% probability of rejecting a true null hypothesis
