Exam 8: Hypothesis Testing: Inferences About a Single Mean
The value of the alpha level has no effect on the power of a statistical test.
False
If a researcher rejects a null hypothesis that is true,then a _____ has been made.
C
What is the power of a statistical test? What factors influence the power of a statistical test?
1- â defines the probability that an investigator will correctly reject the null hypothesis when it is false,and this probability is called the power of the statistical test.The power of the statistical test is influenced by three factors.The alpha level directly affects the power of the statistical test,with more conservative alpha levels yielding less powerful tests,everything else being equal.The power of the statistical test is also influenced by the sample size:The larger the sample size,the more powerful the statistical test will be,everything else being equal.Finally,power is influenced by how discrepant the population mean is from the value of the population mean specified in the null hypothesis.The larger the discrepancy,the more powerful the statistical test will be,everything else being equal.
The more conservative the alpha level,the less powerful the statistical test will be,everything else being equal.
Which characteristics of the t distribution influences its shape?
Which of the following symbols represents the power of a statistical test?
When we use inferential statistics to address a research question,we _____.
The alpha level reflects the probability of making a Type II error.
As with the normal distribution,there is a single t distribution for every sample size.
What does it mean to say that a test is robust to violations of a distributional assumption?
When _____,and the raw scores in the population are normally distributed,then the normal and t distributions are quite _____ one another.
As a rough guide,investigators generally attempt to achieve statistical power in the range of .05 to .95,depending on the nature of the proposition being investigated.
When the observed value of z falls within the range defined by the critical values,we _____ the null hypothesis.
When the observed value of z falls within the range defined by the critical values,we reject the null hypothesis.
A group of 200 students takes the Kaplan course in hopes that it will improve their SAT scores above the national mean of 500 on the math section.The population standard deviation of the SAT is known to be 100.Use an alpha level of .05 when answering the following questions.What is the null hypothesis?
Traditionally,_____ is the probability associated with alpha.
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