Exam 8: Hypothesis Testing: Inferences About a Single Mean

The power of a statistical test can be increased by _____.

When a researcher obtains a result that is consistent with the null hypothesis,he or she _____ the null hypothesis.

When the alpha level is .05,a result is defined as being "unexpected" if the probability of obtaining that result,assuming the null hypothesis is true,is:

One step in the hypothesis testing process is the conversion of the observed sample mean into a z value to determine how many standard deviations it is away from ì,assuming the alternative hypothesis is true.

Suppose you know that the mean score (m)on a measure of the personality trait "Openness to Experience" is 35.66 in a population of artists,with a standard deviation (s)of 13.32.Next,assume you went to Greenwich Village and gave this personality measure to a group of 10 artists.The mean in this sample was 40.33.You are interested in testing whether the 10 Greenwich Village artists were sampled from the same population described above.Calculate the standard error of the mean for this example.

The probability for Type I error is equal to _____.

To avoid making a Type I error,we should use _____ level.

A researcher in sports psychology is interested in the resting pulse rate of long-distance college runners.She does some research and finds data from the U.S.Olympics team showing their long-distance runners have a resting pulse rate of 60 beats per minute.She wants to know if the pulse rate for college runners is different from the Olympic team's m of 60.She randomly samples 20 long-distance runners,and finds What value is obtained when calculating the test statistic?

Rejection regions are determined with reference to an alpha level.

Under what conditions is it appropriate to use the one sample z test when testing hypotheses about the value of a population mean?

As your sample size gets smaller (especially as it gets below about 30-40),the t-distribution and the z-distribution

In principle,we can _____ accept the null hypothesis as being _____ via our statistical methods.

The probability that an investigator will correctly reject the null hypothesis when it is false is called the _____ of the statistical test.

Rejection of the null hypothesis when it is true is called a Type II error.

The one-sample z test is used to determine whether the difference between your sample mean and the hypothesized population value is _____.

Type II errors are made when you _____ H₀ and H₀ is _____.

The statement "to fail to reject the null hypothesis" would be made when the observed value of z ______.

In a computer printout of a one-sample t test,what does a p value of 0.000 indicate?

As part of the process of hypothesis testing,the task of a researcher is to choose between _____.

A statistical analysis that produces a "statistically significant" result may or may not have important practical applications.