Statistics: Parameters in Hypothesis Testing

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What type of error occurs when the null hypothesis is rejected when it is actually true?

Type I error (correct)

Critical value

Acceptance region

Type II error

What is the set of all values of the test statistic that causes us to fail to reject the null hypothesis?

Alpha region

Rejection region

Non-rejection region (correct)

Beta region

What is the point on the test distribution that is compared to the test statistic to determine if the null hypothesis would be rejected?

Type I error

Critical value (correct)

Critical region

Alpha region

What is the probability of rejecting the null hypothesis when it is actually true denoted by?

Alpha (α) Signup and view all the answers

What is a numerical quantity that characterizes a given population or some of its aspects?

Parameter Signup and view all the answers

What is a numerical measure that is calculated from the sample?

Statistic Signup and view all the answers

What is the primary purpose of a null hypothesis in a hypothesis test?

To test an assumption that there is no significant difference between two parameters Signup and view all the answers

What is the level of significance in a hypothesis test denoted by?

α (alpha) Signup and view all the answers

What is the probability of making a wrong decision when the null hypothesis is true?

The significance level α Signup and view all the answers

What is the term for the error of rejecting a true null hypothesis?

Type I Error Signup and view all the answers

What is the term for the error of failing to reject a false null hypothesis?

Type II Error Signup and view all the answers

What is the characteristic of a parameter versus a statistic?

A parameter is a measure of a population, while a statistic is a measure of a sample Signup and view all the answers

What is the symbol used to represent the population mean in hypothesis testing?

𝝁 Signup and view all the answers

What is the null hypothesis in the example where the average weight of all Grade 11 students is claimed to be 169 cm?

The average weight of all Grade 11 students is equal to 169 cm. Signup and view all the answers

What is a test statistic?

A random variable that is calculated from sample data Signup and view all the answers

What is the main difference between a parameter and a statistic?

A parameter is a measure of the population, while a statistic is a measure of the sample. Signup and view all the answers

What is Type I error?

Rejecting a true null hypothesis Signup and view all the answers

What is Type II error?

Failing to reject a false null hypothesis Signup and view all the answers