Hypothesis testing worksheet

Q: Are these hypothesis testing worksheets free?

Yes. Every hypothesis testing sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Q: Do the hypothesis testing worksheets come with an answer key?

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Q: Are these hypothesis testing worksheets printable?

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Q: What grade are these hypothesis testing worksheets for?

Statistics is usually taken around 11th or 12th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Q: Can I get a different version of the same hypothesis testing worksheet?

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

Q: Is this a free alternative to Kuta Software for hypothesis testing?

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the hypothesis testing questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Q: Can I choose how hard the hypothesis testing questions are?

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Q: What do students get wrong with hypothesis testing?

Writing "accept H₀". A test that fails to reject has only failed to find evidence; it has not shown the null is true.

The null hypothesis is the claim being tested and always has the equals sign. A p-value below α is evidence against it: reject H₀. Rejecting a true H₀ is a Type I error; failing to reject a false one is a Type II error.

Select your difficulty

Pick more than one for a sheet that mixes them.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.



Sigma Prep · sigmaprep.io/worksheets Name Hypothesis Tests Date Period Answer each question. $H_{0}$ : $p = 0.05$ . In a random sample of $475$ , $\hat{p} = 0.08$ . Find the test statistic $z$ . A test gives a $p$ -value of $0.037$ . At $α = 0.1$ , what is the decision? Last year 45% of a state's voters favored a ballot measure. A campaign believes support has changed. State the hypotheses. A medicine causes headaches in 22% of patients. A doctor suspects a new version causes them in fewer patients. State the hypotheses. A website says 2% of visitors click its ad. After a redesign, the designers think the click rate has gone up. State the hypotheses. $H_{0}$ : $p = 0.85$ . In a random sample of $1275$ , $\hat{p} = 0.84$ . Find the test statistic $z$ . A test gives a $p$ -value of $0.103$ . At $α = 0.05$ , what is the decision? $H_{0}$ : $p = 0.8$ . In a random sample of $256$ , $\hat{p} = 0.8125$ . Find the test statistic $z$ . $H_{0}$ : $p = 0.5$ . In a random sample of $400$ , $\hat{p} = 0.485$ . Find the test statistic $z$ . $H_{0}$ : $p = 0.75$ . In a random sample of $300$ , $\hat{p} = 0.79$ . Find the test statistic $z$ . Nationally, 29% of teens have a part-time job. A researcher thinks the share in her state is different. State the hypotheses. $H_{0}$ : $p = 0.9$ . In a random sample of $100$ , $\hat{p} = 0.84$ . Find the test statistic $z$ . A city says 48% of residents recycle. An environmental group suspects the true share is lower. State the hypotheses. A basketball player has made 69% of her free throws over her career. Her coach thinks a new technique has raised her rate. State the hypotheses. $H_{0}$ : $p = 0.5$ . In a random sample of $400$ , $\hat{p} = 0.5175$ . Find the test statistic $z$ . $H_{0}$ : $p = 0.4$ . In a random sample of $600$ , $\hat{p} = 0.37$ . Find the test statistic $z$ . $H_{0}$ : $p = 0.8$ . In a random sample of $625$ , $\hat{p} = 0.7664$ . Find the test statistic $z$ . $H_{0}$ : $p = 0.5$ . In a random sample of $625$ , $\hat{p} = 0.544$ . Find the test statistic $z$ . A coupon company says 23% of shoppers nationwide use coupons. A grocery chain believes the share among its own shoppers is different. State the hypotheses. A seed company claims 83% of its seeds sprout. A gardener suspects the rate is lower. State the hypotheses. Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Hypothesis Tests

Date Period

Answer each question.

$H_{0}$ : $p = 0.05$ . In a random sample of $475$ , $\hat{p} = 0.08$ . Find the test statistic $z$ .
A test gives a $p$ -value of $0.037$ . At $α = 0.1$ , what is the decision?
Last year 45% of a state's voters favored a ballot measure. A campaign believes support has changed. State the hypotheses.
A medicine causes headaches in 22% of patients. A doctor suspects a new version causes them in fewer patients. State the hypotheses.
A website says 2% of visitors click its ad. After a redesign, the designers think the click rate has gone up. State the hypotheses.
$H_{0}$ : $p = 0.85$ . In a random sample of $1275$ , $\hat{p} = 0.84$ . Find the test statistic $z$ .
A test gives a $p$ -value of $0.103$ . At $α = 0.05$ , what is the decision?
$H_{0}$ : $p = 0.8$ . In a random sample of $256$ , $\hat{p} = 0.8125$ . Find the test statistic $z$ .
$H_{0}$ : $p = 0.5$ . In a random sample of $400$ , $\hat{p} = 0.485$ . Find the test statistic $z$ .
$H_{0}$ : $p = 0.75$ . In a random sample of $300$ , $\hat{p} = 0.79$ . Find the test statistic $z$ .
Nationally, 29% of teens have a part-time job. A researcher thinks the share in her state is different. State the hypotheses.
$H_{0}$ : $p = 0.9$ . In a random sample of $100$ , $\hat{p} = 0.84$ . Find the test statistic $z$ .
A city says 48% of residents recycle. An environmental group suspects the true share is lower. State the hypotheses.
A basketball player has made 69% of her free throws over her career. Her coach thinks a new technique has raised her rate. State the hypotheses.
$H_{0}$ : $p = 0.5$ . In a random sample of $400$ , $\hat{p} = 0.5175$ . Find the test statistic $z$ .
$H_{0}$ : $p = 0.4$ . In a random sample of $600$ , $\hat{p} = 0.37$ . Find the test statistic $z$ .
$H_{0}$ : $p = 0.8$ . In a random sample of $625$ , $\hat{p} = 0.7664$ . Find the test statistic $z$ .
$H_{0}$ : $p = 0.5$ . In a random sample of $625$ , $\hat{p} = 0.544$ . Find the test statistic $z$ .
A coupon company says 23% of shoppers nationwide use coupons. A grocery chain believes the share among its own shoppers is different. State the hypotheses.
A seed company claims 83% of its seeds sprout. A gardener suspects the rate is lower. State the hypotheses.



Sigma Prep · sigmaprep.io/worksheets Name Hypothesis TestsAnswer keyVersion 1 Date Period Answer each question. $H_{0}$ : $p = 0.05$ . In a random sample of $475$ , $\hat{p} = 0.08$ . Find the test statistic $z$ . $3$ A test gives a $p$ -value of $0.037$ . At $α = 0.1$ , what is the decision?Reject $H_{0}$ Last year 45% of a state's voters favored a ballot measure. A campaign believes support has changed. State the hypotheses. $H_{0}$ : $p = 0.45$ ; $H_{a}$ : $p \neq 0.45$ A medicine causes headaches in 22% of patients. A doctor suspects a new version causes them in fewer patients. State the hypotheses. $H_{0}$ : $p = 0.22$ ; $H_{a}$ : $p < 0.22$ A website says 2% of visitors click its ad. After a redesign, the designers think the click rate has gone up. State the hypotheses. $H_{0}$ : $p = 0.02$ ; $H_{a}$ : $p > 0.02$ $H_{0}$ : $p = 0.85$ . In a random sample of $1275$ , $\hat{p} = 0.84$ . Find the test statistic $z$ . $- 1$ A test gives a $p$ -value of $0.103$ . At $α = 0.05$ , what is the decision?Fail to reject $H_{0}$ $H_{0}$ : $p = 0.8$ . In a random sample of $256$ , $\hat{p} = 0.8125$ . Find the test statistic $z$ . $0.5$ $H_{0}$ : $p = 0.5$ . In a random sample of $400$ , $\hat{p} = 0.485$ . Find the test statistic $z$ . $- 0.6$ $H_{0}$ : $p = 0.75$ . In a random sample of $300$ , $\hat{p} = 0.79$ . Find the test statistic $z$ . $1.6$ Nationally, 29% of teens have a part-time job. A researcher thinks the share in her state is different. State the hypotheses. $H_{0}$ : $p = 0.29$ ; $H_{a}$ : $p \neq 0.29$ $H_{0}$ : $p = 0.9$ . In a random sample of $100$ , $\hat{p} = 0.84$ . Find the test statistic $z$ . $- 2$ A city says 48% of residents recycle. An environmental group suspects the true share is lower. State the hypotheses. $H_{0}$ : $p = 0.48$ ; $H_{a}$ : $p < 0.48$ A basketball player has made 69% of her free throws over her career. Her coach thinks a new technique has raised her rate. State the hypotheses. $H_{0}$ : $p = 0.69$ ; $H_{a}$ : $p > 0.69$ $H_{0}$ : $p = 0.5$ . In a random sample of $400$ , $\hat{p} = 0.5175$ . Find the test statistic $z$ . $0.7$ $H_{0}$ : $p = 0.4$ . In a random sample of $600$ , $\hat{p} = 0.37$ . Find the test statistic $z$ . $- 1.5$ $H_{0}$ : $p = 0.8$ . In a random sample of $625$ , $\hat{p} = 0.7664$ . Find the test statistic $z$ . $- 2.1$ $H_{0}$ : $p = 0.5$ . In a random sample of $625$ , $\hat{p} = 0.544$ . Find the test statistic $z$ . $2.2$ A coupon company says 23% of shoppers nationwide use coupons. A grocery chain believes the share among its own shoppers is different. State the hypotheses. $H_{0}$ : $p = 0.23$ ; $H_{a}$ : $p \neq 0.23$ A seed company claims 83% of its seeds sprout. A gardener suspects the rate is lower. State the hypotheses. $H_{0}$ : $p = 0.83$ ; $H_{a}$ : $p < 0.83$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Hypothesis TestsAnswer keyVersion 1

Date Period

Answer each question.

$H_{0}$ : $p = 0.05$ . In a random sample of $475$ , $\hat{p} = 0.08$ . Find the test statistic $z$ . $3$
A test gives a $p$ -value of $0.037$ . At $α = 0.1$ , what is the decision?Reject $H_{0}$
Last year 45% of a state's voters favored a ballot measure. A campaign believes support has changed. State the hypotheses. $H_{0}$ : $p = 0.45$ ; $H_{a}$ : $p \neq 0.45$
A medicine causes headaches in 22% of patients. A doctor suspects a new version causes them in fewer patients. State the hypotheses. $H_{0}$ : $p = 0.22$ ; $H_{a}$ : $p < 0.22$
A website says 2% of visitors click its ad. After a redesign, the designers think the click rate has gone up. State the hypotheses. $H_{0}$ : $p = 0.02$ ; $H_{a}$ : $p > 0.02$
$H_{0}$ : $p = 0.85$ . In a random sample of $1275$ , $\hat{p} = 0.84$ . Find the test statistic $z$ . $- 1$
A test gives a $p$ -value of $0.103$ . At $α = 0.05$ , what is the decision?Fail to reject $H_{0}$
$H_{0}$ : $p = 0.8$ . In a random sample of $256$ , $\hat{p} = 0.8125$ . Find the test statistic $z$ . $0.5$
$H_{0}$ : $p = 0.5$ . In a random sample of $400$ , $\hat{p} = 0.485$ . Find the test statistic $z$ . $- 0.6$
$H_{0}$ : $p = 0.75$ . In a random sample of $300$ , $\hat{p} = 0.79$ . Find the test statistic $z$ . $1.6$
Nationally, 29% of teens have a part-time job. A researcher thinks the share in her state is different. State the hypotheses. $H_{0}$ : $p = 0.29$ ; $H_{a}$ : $p \neq 0.29$
$H_{0}$ : $p = 0.9$ . In a random sample of $100$ , $\hat{p} = 0.84$ . Find the test statistic $z$ . $- 2$
A city says 48% of residents recycle. An environmental group suspects the true share is lower. State the hypotheses. $H_{0}$ : $p = 0.48$ ; $H_{a}$ : $p < 0.48$
A basketball player has made 69% of her free throws over her career. Her coach thinks a new technique has raised her rate. State the hypotheses. $H_{0}$ : $p = 0.69$ ; $H_{a}$ : $p > 0.69$
$H_{0}$ : $p = 0.5$ . In a random sample of $400$ , $\hat{p} = 0.5175$ . Find the test statistic $z$ . $0.7$
$H_{0}$ : $p = 0.4$ . In a random sample of $600$ , $\hat{p} = 0.37$ . Find the test statistic $z$ . $- 1.5$
$H_{0}$ : $p = 0.8$ . In a random sample of $625$ , $\hat{p} = 0.7664$ . Find the test statistic $z$ . $- 2.1$
$H_{0}$ : $p = 0.5$ . In a random sample of $625$ , $\hat{p} = 0.544$ . Find the test statistic $z$ . $2.2$
A coupon company says 23% of shoppers nationwide use coupons. A grocery chain believes the share among its own shoppers is different. State the hypotheses. $H_{0}$ : $p = 0.23$ ; $H_{a}$ : $p \neq 0.23$
A seed company claims 83% of its seeds sprout. A gardener suspects the rate is lower. State the hypotheses. $H_{0}$ : $p = 0.83$ ; $H_{a}$ : $p < 0.83$

How to do these

A $p$ -value of $0.03$ at $α = 0.05$

0.03 is less than 0.05.

The answer is Reject $H_{0}$ .

Where students go wrong

Writing "accept H₀". A test that fails to reject has only failed to find evidence; it has not shown the null is true.

Also called significance test, null and alternative hypotheses, p-value or type I and type II errors.

Questions about these worksheets