30 Questions
What is the purpose of hypothesis testing in statistics?
To make decisions about the population parameters based on sample data
Which statement best describes the null hypothesis?
It serves as the default or status quo assumption.
What does the alternative hypothesis represent?
Opposite of the null hypothesis
In hypothesis testing, what does H0 usually state?
There is no change or difference in the population.
When conducting hypothesis testing, what does H1 represent?
The opposite of the null hypothesis
Which type of hypothesis asserts that there is no significant difference between groups being compared?
Null hypothesis
What does H0 assume about population parameters before any evidence is collected?
It assumes there is no significant difference.
Which hypothesis asserts that there is a significant difference, effect, or relationship in the population?
Alternative hypothesis
True or False: The null hypothesis always states a positive effect or change in the population.
False
What happens to the null hypothesis if there is enough evidence to reject it?
It is rejected in favor of the alternative hypothesis
What is the purpose of the significance level in hypothesis testing?
To set the threshold for rejecting the null hypothesis
In a two-tailed test, how are the z-values that cut off the tails of the standard normal distribution determined?
By finding z-values that cut off α/2 in each tail
What is used instead of the population standard deviation in hypothesis testing when it is unknown?
Sample standard deviation
How are the degrees of freedom calculated in a hypothesis test for a population mean?
By subtracting 1 from the sample size
When does one reject the null hypothesis in a right-tailed test using the t-statistic?
If the calculated t-score is greater than the critical value
What distribution is used for testing hypotheses about a population variance?
$ ilde{ ext{X}}$-distribution
What step involves looking up critical t-values from a table in hypothesis testing for a population variance?
Determine the critical value
In a left-tailed test for a population variance, when is the null hypothesis rejected?
If chi-square > critical value
What step follows calculating the test statistic when using the t-distribution in hypothesis testing for a population mean?
Determine the degrees of freedom
When determining whether to reject the null hypothesis in a two-tailed test with chi-square distribution, what condition indicates rejection?
When chi-square > critical value
What is the purpose of hypothesis testing?
To determine if there is enough evidence to reject the null hypothesis
Which of the following is true about Type I error?
It is the incorrect rejection of a true null hypothesis
What does Type II error involve?
Accepting the null hypothesis when it is false
What is a common consequence of decreasing the probability of Type I error?
Increased chance of Type II error
What does a lower beta level signify in hypothesis testing?
Increased risk of Type II error
When conducting a two-tailed test for population mean using z-statistic, what does rejecting the null hypothesis indicate?
Accepting that there is a significant difference between sample mean and population mean
'Balancing Type I and Type II Errors' refers to what in hypothesis testing?
The trade-off and relationship between minimizing different types of errors
'Power of a test' in hypothesis testing refers to what?
Ability to correctly reject a false null hypothesis
'Type I Error' is also known as what in statistical hypothesis testing?
'False Positive'
'Type II Error' is associated with which scenario in statistical hypothesis testing?
'Failing to reject a false null hypothesis'
Learn about hypothesis testing, a fundamental concept in statistics to make decisions about population parameters based on sample data. Understand null hypothesis, significance levels, and statistical methods for rejecting or failing to reject assumptions.
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