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Module 8 Quiz: Hypothesis Testing

Test your mastery with 15 questions • Pass with 70%

Quiz Instructions

This quiz has 15 questions covering all module topics
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Question 1

What is the purpose of hypothesis testing?

To prove that a hypothesis is definitely true
To determine if there is sufficient evidence to reject a null hypothesis
To calculate the exact value of a population parameter
To create confidence intervals

Question 2

A researcher claims that students study more than 10 hours per week. What are the correct hypotheses?

H₀: μ > 10, Hₐ: μ = 10
H₀: μ = 10, Hₐ: μ > 10
H₀: μ = 10, Hₐ: μ ≠ 10
H₀: μ < 10, Hₐ: μ = 10

Question 3

A Type I error occurs when:

We reject a true null hypothesis
We fail to reject a false null hypothesis
We make a calculation error
We use the wrong test

Question 4

If a study has power = 0.85, what does this mean?

There is an 85% chance the null hypothesis is true
There is an 85% chance of correctly rejecting a false null hypothesis
There is an 85% chance of making a Type I error
The significance level is 0.85

Question 5

When should you use a t-test instead of a z-test for testing a population mean?

When the sample size is small (n < 30)
When the population standard deviation (σ) is unknown
When the data is not normally distributed
When you want a more conservative test

Question 6

For a two-tailed test with α = 0.05, the critical values from the standard normal distribution are:

±1.645
±1.96
±2.326
±2.576

Question 7

If the p-value is 0.03 and α = 0.05, what is your decision?

Reject the null hypothesis
Fail to reject the null hypothesis
Accept the null hypothesis
Need more information to decide

Question 8

A test statistic is z = 2.1 for a right-tailed test with α = 0.05 (critical value = 1.645). What is the correct conclusion?

Reject H₀ because z > 1.645
Fail to reject H₀ because z > 1.645
Reject H₀ because z < 1.645
The test is inconclusive

Question 9

Calculate the test statistic: n = 25, x̄ = 52, μ₀ = 50, s = 5. (This is a t-test)

t = 1.0
t = 2.0
t = 2.5
t = 10.0

Question 10

Which of the following would increase the power of a hypothesis test?

Decreasing the sample size
Decreasing the significance level (α)
Increasing the sample size
Using a two-tailed test instead of one-tailed

Question 11

For a proportion test, the normal approximation is valid when:

n ≥ 30
np₀ ≥ 10 AND n(1-p₀) ≥ 10
p₀ = 0.5
The sample is randomly selected

Question 12

Calculate the sample proportion: In a sample of 200 people, 75 support a proposal. What is p̂?

0.25
0.375
0.50
0.75

Question 13

In a hypothesis test for proportions, we use which value in the denominator of the test statistic?

p̂ (sample proportion)
p₀ (hypothesized proportion)
Either p̂ or p₀, they give the same result
The population proportion p

Question 14

A medical test has H₀: Patient is healthy, Hₐ: Patient has disease. What would be the consequence of a Type II error?

A healthy patient is incorrectly diagnosed with the disease
A sick patient is incorrectly told they are healthy
The test gives an inconclusive result
The patient receives unnecessary treatment

Question 15

"Fail to reject H₀" means:

We have proven H₀ is true
We have sufficient evidence that H₀ is false
We do not have sufficient evidence to reject H₀
The alternative hypothesis is correct

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