1 of20 When a p -value is high, this means there is strong evidence against the null hypothesis True False Question 2 of20 In hypothesis
1 of20
When ap-value is high, this means there is strong evidence against the null hypothesis
True | |
False |
Question
2 of20
In hypothesis testing, the hypothesis which is tentatively assumed to be true is called the
correct hypothesis | |
null hypothesis | |
alternative hypothesis | |
level of significance |
Question
3 of20
If ap-value for a 2-sided test equals .065, thep-value for the 1-sided test using the same sample data will not be significant at the 1% level.
True | |
False |
Question
4 of20
When a sample statistic is close to the hypothesized population parameter, thep-value for a significance test will typically be low.
True | |
False |
Question
5 of20
Which of the following does not need to be known in order to compute theP-value?
knowledge of whether the test is one-tailed or two-tailed | |
the value of the test statistic | |
the level of significance | |
all of the above are needed |
Question
6 of20
There is a high probability that James Bond can tell the difference between a shaken and a stirred martini.
True | |
False |
Question
7 of20
Which of the following is the first step in hypothesis testing?
It does not matter where you begin when you test hypotheses. | |
Developing a null and alternative hypothesis. | |
Drawing a sample from the population. | |
Setting the cutoff value for rejecting the null hypothesis. |
Question
8 of20
The critical value to be used in a statistical test is determined by the alpha level.
True | |
False |
Question
9 of20
Many people describe hypothesis testing as counterintuitive because
we test whether something happened in order to conclude that nothing happened. | |
we test whether something happened but can still conclude that nothing happened. | |
we can only conclude that nothing happened when we are 100% sure that something did not happen. | |
we test whether nothing happened in order to conclude that something happened. |
Question
10 of20
We always test a null hypothesis against an alternative.
True | |
False |
Question
11 of20
The null hypothesis would be rejected if
the test statistic is less than .05 | |
the test statistic is greater than .05 | |
the test statistic is in the rejection region | |
the test statistic is more than two standard deviations from the mean |
Question
12 of20
Hypotheses in a significance test are always stated in terms of the population parameters.
True | |
False |
Question
13 of20
What is being addressed by a one-sample hypothesis test?
Does our sample come from a particular population? | |
Does our sample have the same variance as another population? | |
Is our sample unusual in some way? | |
Does the five-number summary of our sample match that of a particular population? |
Question
14 of20
Let's suppose we conduct a hypothesis test about the mean value of something, and determine that we should reject the null hypothesis. What does that mean?
Our hypothesized mean has been proven incorrect. | |
The difference between our sample mean and our hypothesized mean was most likely due to random chance. | |
The difference between our sample mean and our hypothesized mean was statistically significant. | |
The difference between our sample mean and our hypothesized mean was not statistically significant. |
Question
15 of20
Given a statistical test scenario with alpha set to .05 the absolute value of the critical value is determined to be 1.96. What does that also tell you about the hypothesis?
It is likely that the null will not be rejected because the rejection region is too narrow. | |
It is likely that a decision error will be made. | |
The test is two-tailed. | |
can't really say that it tells me anything |
Question
16 of20
The formula is used to calculate
the z-score of a data point. | |
the z-score of a sample mean. | |
the z-score of a sample proportion. | |
none of the above |
Question
17 of20
When testing a sample mean against a known population parameter thet-distribution is used when
sis used as an estimate of | |
x is used as an estimate of | |
the sample size is small | |
dfare unknown |
Question
18 of20
t-tables typically show
the area above thet-score | |
the area below thet-score | |
critical values oft | |
z-score equivalents |
Question
19 of20
A statistics professor announces to the class that a majority of students who take his class earn an A. A skeptical group of students suspects that this is too good to be true. If they were going to conduct a hypothesis test, what would the appropriate hypotheses be?
Ho: 0.50, Ha: = 0.50 | |
Ho: 0.50, Ha: < 0.50 | |
Ho: < 0.50, Ha: > 0.50 | |
Ho: = 0.50, Ha: > 0.50 |
Question
20 of20
It is claimed that 66% of Boston residents have considered moving to a warmer climate. A group of city council members is hoping that the actual figure is lower than that, and wish to conduct a hypothesis test at the =.05 level of significance to determine if they are right. Which would be correct hypotheses for this test?
Ho: 0.66, Ha: < 0.66 | |
Ho: 0.66, Ha: > 0.66 | |
Ho: < 0.66, Ha: = 0.66 | |
Ho: = 0.66, Ha: 0.66 |
1 of20
Voter registration records are compared to see if Yuma County has a higher proportion of registered voters than Pinal County. What is the appropriate statistical test?
t-test for independent samples | |
t-test for dependent samples | |
z-test for proportions |
Question
2 of20
Why do we use the t-distribution instead of the normal distribution as our reference distribution?
The population variances are unknown and we are estimating them from a sample. | |
You never use the normal distribution in applied statistics | |
Because our sample size is large. | |
Since we are using the standard deviation instead of the variances in our calculations |
Question
3 of20
In order to test whether there is a difference between two population means, an assumption is that
we have two scores, or values, per subject | |
1 2 | |
each value is sampled independently from each other value | |
samples are dependent |
Question
4 of20
Is there a statistically significant difference (p < .05) between the average wait times at these two doctor's offices? Below are 10 wait times in minutes.
Dr. Strangelove: 12 17 21 22 29 18 13 25 20 27 Dr. Zhivago: 23 24 27 27 26 26 31 29 23 23
The test statistic of 2.78 is greater than .05 so we conclude the difference is statistically significant. | |
You can't use the 2-sample t-test unless the sample size is greater than 30. | |
The difference in wait times of 5.5 minutes is *NOT* statistically significant because the p-value of .0156 is less than .05. | |
The difference in wait times of 5.5 minutes is statistically significant because the p-value of .0156 is less than .05. |
Question
5 of20
The statistical test for comparing the means of two matched samples uses the normal distributions.
True | |
False |
Question
6 of20
If you test for the difference between the means of two independent samples, there are how many degrees of freedom?
(n1 + n2) / 2 - 1 | |
n1 + n2 - 2 | |
(n1 + n2) / 2 | |
n -1 |
Question
7 of20
When testing for differences between the means of two related populations, what is the null hypothesis?
The difference between the population means is equal to 0. | |
The difference between the population means is equal to 1. | |
The difference between the population means is greater than 1. | |
The difference between the population means is greater than 0. |
Question
8 of20
When conducting a two-sample test of proportions, the difference between the population proportions
is unknown | |
is equal to p1- p2 | |
is assumed to be zero under the null hypothesis | |
is unimportant |
Question
9 of20
What does p (p-bar) represent?
the weighted average of the sample proportions of successes | |
the sample proportions of successes | |
the population proportions of successes | |
the number of successes in each sample |
Question
10 of20
A _______ standard deviation in the population will result in a larger effect size.
larger | |
smaller | |
more clearly defined | |
less clearly defined |
Question
11 of20
As sample size is increased
the likelihood of a statistically significant result increases. | |
the likelihood of a statistically significant result decreases. | |
effect size determination becomes irrelevant. |
Question
12 of20
A calculated value of d = .45 indicates
a small effect size | |
a medium effect size | |
a large effect size | |
a significant effect size |
Question
13 of20
In hypothesis testing, beta is
the probability of committing a Type II error | |
the probability of committing a Type I error | |
the probability of either a Type I or Type II, depending on the hypothesis to be tested | |
none of the above |
Question
14 of20
When the null hypothesis has been true, but the sample information has resulted in the rejection of the null, a _________ has been made.
level of significance | |
Type II error | |
critical value | |
Type I error |
Question
15 of20
A Type II error occurs when
we correctly fail to reject a false null hypothesis. | |
we incorrectly fail to reject a false null hypothesis | |
we incorrectly reject a true null hypothesis. | |
we correctly reject a false null hypothesis. |
Question
16 of20
A Type I error occurs when we
correctly fail to reject a false null hypothesis. | |
correctly reject a false null hypothesis. | |
incorrectly reject a false null hypothesis. | |
incorrectly reject a true null hypothesis. |
Question
17 of20
The maximum probability of a Type I error that the decision maker will tolerate is called the
level of significance | |
critical value | |
decision value | |
probability value |
Question
18 of20
The power of a test is
the probability of declaring a difference that does not actually exist | |
the probability of finding a difference that does exist | |
the probability of incorrectly rejecting Ho | |
the probability of rejecting Ha when it is false |
Question
19 of20
If "going to the doctor" is used as an analogy, then power is
your doctor confirming that you really are sick. | |
getting scared for nothing. | |
your doctor stating you are not sick when there is nothing wrong. | |
your doctor is missing a real illness. |
Question
20 of20
Two-tailed hypothesis tests have ________ power than one-tailed tests.
slightly more | |
slightly less | |
more | |
less |
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