# Z-Score Test & Hypothesis Test – Statistic Quiz

### Z-Score Test, Hypothesis Test, Rejecting The Null Hypothesis, Sample, Population – Quiz

The key terms in these Statistic chapters include Z-Score Test, Hypothesis Test, Data, Sample, Rejecting The Null Hypothesis, Population, Sample Mean, Two-Tailed Test, Population Mean, Two-Tailed Hypothesis, Null Hypothesis, Treatment Effect, Critical Region, Statistical Decision, Probability.

What is measured by the numerator of the z-score test statistic?

The actual distance between M and mu

Which of the following accurately describes a hypothesis test?

An inferential technique that uses the data from a sample to draw inferences about a population

A researcher selects a sample and administers a treatment to the individuals in the sample. If the sample is used for a hypothesis test, what does the null hypothesis (H0) say about the treatment?

##### The treatment has no effect on the scores

For a hypothesis test evaluating the effect of a treatment on a population mean, what basic assumption is made concerning the treatment effect?

If there is a treatment effect, it will add/subtract a constant to each score

The critical boundaries for a hypothesis test are z=+1.96/-1.96. If the z-score for the sample data is z=-1.90, what is the correct statistical decision?

Fail to reject the null hypothesis

A class consists of 10 males and 30 females. A random sample of n = 3 students is selected. If their first two students are both females, what is the probability that the third student is a male?

a) 10/37
b) 10/38
c) 10/40
d) 9/38

All probabilities can be expressed as decimal values ranging from 0 to 1.00.

##### True

Which of the following accurately describes the critical region?

Outcomes with a very low probability if the null hypothesis is true.

If a hypothesis test produces a z-score in the critical region, what decision should be made?

##### Reject the null hypothesis

A researcher administers a treatment to a sample of participants selected from a population with a population mean of 80. If a hypothesis test is used to evaluate the effect of the treatment, which combination of factors is most likely to result in rejecting the null hypothesis?

A sample mean much different than 80 for a large sample

A researcher administers a treatment to a sample of participants selected from a population with a population mean of 80. If the researcher obtains a sample mean of M=88, which combination of factors is most likely to result in rejecting the null hypothesis?

Standard deviation of 5, alpha =.05

A researcher is conducting an experiment to evaluate a treatment that is expected to increase the scores for individuals in a population that is known to have a mean of 80. The results will be examined using a one-tailed hypothesis test. Which of the following is the correct statement of the null hypothesis?

##### mu is less than or equal to 80  Mu < 80

A researcher expects a treatment to increase the scores for individuals in a population. The treatment is evaluated using a one-tailed hypothesis test, and the test produces z=+2.40. Based on this result, what is the correct statistical decision?

##### The researcher should reject the null hypothesis with either alpha=.05 or .01

A researcher evaluates a treatment effect using a two-tailed hypothesis test with alpha=.05, and the decision is to reject the null hypothesis. If the researcher switched to a one-tailed test using the same sample, what decision would be made?

##### Definitely reject the null hypothesis with alpha=.05 and maybe reject alpha=.01

A hypothesis test involves a comparison of which two elements?

Research results from a sample and a hypothesis about a population

What is measured by the denominator of the z-score test statistic?

The average distance between M and mu that would be expected if H0 was true

Which of the following is directly addressed by the null hypothesis?

The population after treatment

A researcher evaluates a treatment effect using a one-tailed hypothesis test with alpha = 0.05, and the decision is to reject the null hypothesis. If the researcher switched to a two-tailed test using the same, sample, what decision would be made?

Might reject the null hypothesis with alpha = 0.05 but might not

For a hypothesis test evaluating the effect of a treatment on a population mean, what basic assumption is made concerning the treatment effect?

If there is a treatment effect, it will add/subtract a constant to each score

The critical boundaries for a hypothesis test are z=+1.96/-1.96. If the z-score for the sample data is z=-1.90, what is the correct statistical decision?

##### Fail to reject the null hypothesis

Which of the following accurately describes the critical region?

Outcomes with a very low probability if the null hypothesis is true.

If a hypothesis test produces a z-score in the critical region, what decision should be made?

Reject the null hypothesis

A researcher administers a treatment to a sample of participants selected from a population with a population mean of 80. If the researcher obtains a sample mean of M=88, which combination of factors is most likely to result in rejecting the null hypothesis?

##### Standard deviation of 5, alpha =.05

A researcher evaluates a treatment effect using a two-tailed hypothesis test with alpha=.05, and the decision is to reject the null hypothesis. If the researcher switched to a one-tailed test using the same sample, what decision would be made?

Definitely reject the null hypothesis with alpha=.05 and maybe reject alpha=.01

A hypothesis test involves a comparison of which two elements?

Research results from a sample and a hypothesis about a population

A researcher evaluates a treatment effect using a one-tailed hypothesis test with alpha = 0.05, and the decision is to reject the null hypothesis. If the researcher switched to a two-tailed test using the same, sample, what decision would be made?

Might reject the null hypothesis with alpha = 0.05 but might not

A researcher selects a sample and administers a treatment to the individuals in the sample. If the sample is used for a hypothesis test, what does the alternative hypothesis (H1) say about the treatment?

The treatment causes a change in the scores

With alpha=.05, how are the boundaries for the critical region determined>

##### Boundaries are drawn so there is 2.5% (.025) in each tail of the distribution

A two-tailed hypothesis is being used to evaluate a treatment effect with alpha=.05. If the sample data produce a z-score of z=-2.24, what is the correct decision?

Reject the null hypothesis and conclude that that the treatment has an effect

A two-tailed hypothesis test is being used to evaluate a treatment effect. The hypothesis test produces a z-score of 2.37. Assuming that the researcher is using a two-tailed test, what decision should be made?

The researcher should reject the null hypothesis with a alpha =0.05 but not with an alpha= 0.01

A researcher administers a treatment to a sample of participants selected from a population with a mean of 80. If the researcher obtains a sample mean of 88, which combination of factors is most likely to result in rejecting the null hypothesis?

##### A sample mean much different than 8- with alpha = 0.05

Which of the following is a requirement for a random sample?

a) every individual has an equal chance of being selected
b) the probabilities cannot change during a series of selections
c) there must be sampling with replacement
d) all of the other 3 choices are correct

A class consists of 10 males and 30 females. If one student is randomly selected from the class, what is the probability of selecting a male?

a) 10/30
b) 10/40
c) 1/10
d) 1/40

A researcher administers a treatment to a sample of participants selected from a population with a mean of 80. If the researcher obtains a sample mean of 88, which combination of factors is most likely to result in rejecting the null hypothesis?

##### Standard deviation = 5, n = 50

A researcher conducts a hypothesis test to evaluate the effect of a treatment that is expected to increase scores. The hypothesis test produces a z-score of 2.27. If the researcher is using a one tailed test with alpha = 0.01, then which of the following correctly identifies the critical region?

#### z>2.33

A researcher is conducting an experiment to evaluate a treatment that is expected to increase the scores for individuals in a population. If the researcher uses a one-tailed test with alpha = 0.01, then which of the following correctly identifies the critical region?

#### z>2.33

A researcher evaluates a treatment effect using a one-tailed hypothesis test with alpha = 0.05, and the decision is to reject the null hypothesis. If the researcher switched to a two-tailed test using the same, sample, what decision would be made?

Might reject the null hypothesis with alpha = 0.05 but might not

For a hypothesis test evaluating the effect of a treatment on a population mean, what basic assumption is made concerning the treatment effect?

If there is a treatment effect, it will add/subtract a constant to each score

The critical boundaries for a hypothesis test are z=+1.96/-1.96. If the z-score for the sample data is z=-1.90, what is the correct statistical decision?

Fail to reject the null hypothesis

Which of the following accurately describes the critical region?

Outcomes with a very low probability if the null hypothesis is true.

If a hypothesis test produces a z-score in the critical region, what decision should be made?

Reject the null hypothesis

A researcher administers a treatment to a sample of participants selected from a population with a population mean of 80. If the researcher obtains a sample mean of M=88, which combination of factors is most likely to result in rejecting the null hypothesis?

##### Standard deviation of 5, alpha =.05

A researcher evaluates a treatment effect using a two-tailed hypothesis test with alpha=.05, and the decision is to reject the null hypothesis. If the researcher switched to a one-tailed test using the same sample, what decision would be made?

Definitely reject the null hypothesis with alpha=.05 and maybe reject alpha=.01

A hypothesis test involves a comparison of which two elements?

Research results from a sample and a hypothesis about a population

A researcher evaluates a treatment effect using a one-tailed hypothesis test with alpha = 0.05, and the decision is to reject the null hypothesis. If the researcher switched to a two-tailed test using the same, sample, what decision would be made?

Might reject the null hypothesis with alpha = 0.05 but might not

Which of the following accurately describes a hypothesis test?

An inferential technique that uses the data from a sample to draw inferences about a population

What is measured by the numerator of the z-score test statistic?

##### The actual distance between M and mu

Which of the following accurately describes a hypothesis test?

An inferential technique that uses the data from a sample to draw inferences about a population

A researcher selects a sample and administers a treatment to the individuals in the sample. If the sample is used for a hypothesis test, what does the null hypothesis (H0) say about the treatment?

The treatment has no effect on the scores

For a hypothesis test evaluating the effect of a treatment on a population mean, what basic assumption is made concerning the treatment effect?

If there is a treatment effect, it will add/subtract a constant to each score

The critical boundaries for a hypothesis test are z=+1.96/-1.96. If the z-score for the sample data is z=-1.90, what is the correct statistical decision?

##### Fail to reject the null hypothesis

A class consists of 10 males and 30 females. A random sample of n = 3 students is selected. If their first two students are both females, what is the probability that the third student is a male?

a) 10/37
b) 10/38
c) 10/40
d) 9/38

A researcher evaluates a treatment effect using a two-tailed hypothesis test with alpha=.05, and the decision is to reject the null hypothesis. If the researcher switched to a one-tailed test using the same sample, what decision would be made?

Definitely reject the null hypothesis with alpha=.05 and maybe reject alpha=.01

A hypothesis test involves a comparison of which two elements?

Research results from a sample and a hypothesis about a population

What is measured by the denominator of the z-score test statistic?

The average distance between M and mu that would be expected if H0 was true

Which of the following is directly addressed by the null hypothesis?

##### The population after treatment

A researcher evaluates a treatment effect using a one-tailed hypothesis test with alpha = 0.05, and the decision is to reject the null hypothesis. If the researcher switched to a two-tailed test using the same, sample, what decision would be made?

Might reject the null hypothesis with alpha = 0.05 but might not

Which of the following accurately describes the critical region?

Outcomes with a very low probability if the null hypothesis is true.

If a hypothesis test produces a z-score in the critical region, what decision should be made?

Reject the null hypothesis

A researcher administers a treatment to a sample of participants selected from a population with a population mean of 80. If the researcher obtains a sample mean of M=88, which combination of factors is most likely to result in rejecting the null hypothesis?

Standard deviation of 5, alpha =.05

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