Question 1

When testing a population proportion $$p$$, what is the type of variable of interest?

Accepted Answer

A categorical variable

Question 2

Which of the following is a necessary condition when performing a hypothesis test for a population proportion $$p$$?

Accepted Answer

The sample size must be less than 10% of the population

Question 3

What is the type of variable of interest when testing a population mean $$\mu$$?

Accepted Answer

A continuous quantitative variable

Question 4

Suppose you want to test whether the proportion of patients recovering from a new drug is greater than 0.5. Which hypothesis test should you use?

Accepted Answer

A one-sample $$z-$$test for proportions

Question 5

Which of the following is NOT a condition for using a $$z-$$test for a population proportion?

Accepted Answer

The population is normally distributed

Question 6

A researcher collects a simple random sample of 100 students to estimate the average test score. Which hypothesis test is most appropriate?

Accepted Answer

A one-sample $$t-$$test for the mean

Question 7

If the sample size is not large and the population standard deviation is unknown, which test should be used to test a population mean?

Accepted Answer

A one-sample $$t-$$test

Question 8

Which scenario best illustrates the use of a hypothesis test for a population proportion?

Accepted Answer

Testing whether more than 60% of voters support a new policy

Question 9

A medical study wants to test if the mean cholesterol level in a population is less than 200 mg/dL. The sample is random, and the population standard deviation is unknown. Which test should be used?

Accepted Answer

A one-sample $$t-$$test for the mean

Question 10

Which of the following is a reason for requiring the sample size to be less than 10% of the population when performing hypothesis tests?

Accepted Answer

To ensure independence of observations

Question 11

A company wants to know if the proportion of defective products is less than 5%. They sample 200 products. Which test should they use?

Accepted Answer

A one-sample $$z-$$test for proportions

Question 12

Which of the following is a condition that must be met when testing a population mean $$\mu$$?

Accepted Answer

The sample must be randomly selected

Question 13

If a sample is not randomly selected, which of the following is most likely to occur in hypothesis testing?

Accepted Answer

The results may be biased and not generalizable

Question 14

Which formula is used to calculate the test statistic for a one-sample $$z-$$test for a population proportion?

Accepted Answer

$$z = \frac{\hat{p} - p_0$}{\sqrt{\frac{p_0$(1-p_0$)}{n}}}$$

Question 15

A random sample of 50 batteries is tested for average lifespan. The population standard deviation is unknown. Which test should be used?

Accepted Answer

A one-sample $$t-$$test for the mean

Section 10.4: Putting It Together – Which Hypothesis Test Procedure Do I Use?

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