30 Questions
What is the purpose of hypothesis testing?
To determine if there is enough evidence to accept the null hypothesis
Which of the following best describes a Type I error?
Incorrectly rejecting the null hypothesis when it is true
What symbol is used to represent the probability of making a Type II error?
Beta (β)
When does a Type II error occur?
When the null hypothesis is false, but it is not rejected
What does decreasing the significance level (?) chosen for a test impact?
Increases the chance of Type I error
In testing hypotheses about a population mean using the z-statistic, what does H0 represent?
There is no significant difference between sample mean and population mean
What trade-off exists between Type I and Type II errors?
Decreasing one error type increases the other error type
How does a lower alpha level impact Type II error?
Increases the risk of a Type II error
What symbol represents the probability of making a Type I error in hypothesis testing?
Alpha (α)
What does a higher power of a test mean in hypothesis testing?
Higher chance of correctly rejecting a false null hypothesis
What is the purpose of determining the critical value in hypothesis testing?
To set the threshold for rejecting the null hypothesis
In a left-tailed test, when do we reject the null hypothesis?
If z < -1.96
What is the formula to calculate the test statistic (t-score) when using the t-distribution?
$\dfrac{n(x - \mu)}{s}$
When conducting a hypothesis test for a population variance, what does the null hypothesis state?
The population variance is equal to a specific value
What is the purpose of determining the degrees of freedom in a t-test?
To understand the variability within the data
For a right-tailed test, when do we reject the null hypothesis?
If z > 1.96
Which distribution is used when the population standard deviation is unknown?
$t$-distribution
What is the significance level often set at in statistical hypothesis testing?
$0.01$
What is used to determine if there is a significant difference between the variance of a sample and a hypothesized population variance?
$\chi^2$ distribution
In a two-tailed test, what is the condition to reject the null hypothesis?
|z| > critical value
What does the null hypothesis represent in hypothesis testing?
The status quo assumption unless there is evidence to the contrary
Which symbol is typically used to denote the null hypothesis?
H0
In a hypothesis test, what does the alternative hypothesis assert?
There is a significant difference, effect, or relationship in the population
What does H1 represent in hypothesis testing?
The opposite of H0
Which statement accurately describes the null hypothesis?
It represents the assumption that there is no change or difference in the population
What purpose does the null hypothesis serve in hypothesis testing?
To act as a default assumption unless proved otherwise
Which of the following best describes the alternate hypothesis?
It asserts a significant difference, effect, or relationship in the population
What role does statistical testing play in determining about hypotheses?
To determine if sample data provides enough evidence to reject or fail to reject a hypothesis
What does the default assumption imply about rejecting or failing to reject the null hypothesis?
It implies failing to reject H0 requires weak statistical evidence.
What statement accurately describes the relationship between H0 and H1?
H1 contradicts H0.
Learn about hypothesis testing and significance in statistics, which involves making assumptions about population parameters based on sample data. Understand the concept of null hypothesis and how statistical methods are used to make decisions about rejecting or failing to reject the assumption.
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