What is the main purpose of hypothesis testing?

To make a decision about a population parameter

What is an estimator?

A function used to approximate a population parameter

What is a point estimate?

A single value used to estimate a population parameter

What is the null hypothesis (H0) in hypothesis testing?

A claim that there is no effect or difference

What is the main difference between population parameters and sample statistics?

Statistics describe a sample, while parameters describe a population

Why do we use confidence intervals?

To estimate the range where the true parameter is likely to be

What does the standard deviation measure?

The spread of data around the mean

What does the standard error measure?

The accuracy of the sample mean as an estimator

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Answers

1
What is the main purpose of hypothesis testing?
To determine the correlation between two variables
To estimate the sample mean
To make a decision about a population parameter
To prove the null hypothesis true
2
What is an estimator?
A hypothesis in a test
A function used to approximate a population parameter
The sample standard deviation
A specific numerical value
3
If a confidence level is increased from 95% to 99%, what happens to the confidence interval?
It disappears
It gets narrower
It gets wider
It stays the same
4
What is a point estimate?
A range of values estimating a population parameter
A test statistic for hypothesis testing
A measure of standard error
A single value used to estimate a population parameter
5
What is the null hypothesis (H0) in hypothesis testing?
A claim that there is no effect or difference
A claim about the sample mean
A claim that there is an effect or difference
A claim about the standard error
6
What happens to the width of a confidence interval when sample size increases?
It decreases
It increases
It becomes infinite
It stays the same
7
What is the main difference between population parameters and sample statistics?
Statistics describe a sample, while parameters describe a population
Parameters change with each sample
Both are calculated from a sample
Parameters describe a sample, while statistics describe a population
8
Why do we use confidence intervals?
To estimate the range where the true parameter is likely to be
To prove a hypothesis
To predict the exact population parameter
To reduce sample size
9
What does the standard deviation measure?
The central tendency of the data
The sample size
The spread of data around the mean
The probability of a hypothesis test
10
What does the standard error measure?
The accuracy of the sample mean as an estimator
The probability of a Type I error
The total number of observations
The spread of the population data

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