Question 1

Which of the following best describes the process of using a measurement from a sample to draw a meaningful conclusion about a population?

Accepted Answer

Statistical inference

Question 2

The null hypothesis in a hypothesis test always contains which of the following symbols?

Accepted Answer

$$=$$

Question 3

If the p-value is greater than the significance level $$\alpha$$, what should you do regarding the null hypothesis?

Accepted Answer

Fail to reject the null hypothesis

Question 4

A friend claims they can make a fair six-sided die land on an even number more than 50% of the time. What is the correct null hypothesis for this scenario?

Accepted Answer

$$p = 0.50$$

Question 5

In the same die scenario, what is the correct alternative hypothesis?

Accepted Answer

$$p \u003e 0.50$$

Question 6

If an observed value has a very small p-value, what does this indicate about the null hypothesis?

Accepted Answer

It discredits the null hypothesis

Question 7

In a hypothesis test about the proportion of elderly people using Instagram, the z-test statistic is 1.88 and the p-value is 0.030. If the significance level is 0.05, what is the correct conclusion?

Accepted Answer

Because the p-value is less than the significance level, we reject the null hypothesis.

Question 8

In a poll of 700 Orlando residents, 370 support a traffic improvement idea. What is the sample proportion $$\hat{p}$$?

Accepted Answer

$$\hat{p} = 0.529$$

Question 9

Given the scenario above, what is the correct null hypothesis for testing if a majority supports the idea?

Accepted Answer

$$H_0$$: p = 0.50$$

Question 10

A recent poll found that 641 out of 985 adults would take an adults-only Disney vacation. What is the sample proportion, rounded to one decimal place?

Accepted Answer

$$0.651$$

Question 11

In a two-sample proportion test, if $$z = 1.24$$ and $$p-$$value $$= 0.108$$, what is the correct decision at $$\alpha = 0.05$$?

Accepted Answer

Fail to reject the null hypothesis

Question 12

When creating a confidence interval, we add and subtract the margin of error to our ________.

Accepted Answer

statistic or estimator

Question 13

A 95% confidence interval for the mean weight of candy bags is (4.45, 4.98) pounds. Does this interval support the seller's claim that the average weight is 5 pounds?

Accepted Answer

No, because 5 is not in the interval

Question 14

If a confidence interval for the difference of two population means contains zero, what does this indicate?

Accepted Answer

The population means may be the same

Question 15

Given the following scenario: A group of 45 students has a sample mean of 21 and a sample standard deviation of 4.5 for the number of times they have seen a movie. The population mean is 24 and the population standard deviation is 3.2. What is the correct value for $$\mu$$?

Accepted Answer

$$\mu = 24$$

Question 16

In a hypothesis test comparing the mean number of episodes watched by math students to the college average, the test statistic is $$t = 1.30$$ and the p-value is $$0.104. $$What is the correct conclusion at $$\alpha = 0.05$$?

Accepted Answer

Fail to reject the null hypothesis

Question 17

Which of the following best describes the area shaded in the second image provided?

Accepted Answer

The p-value for a right-tailed test

Question 18

In a test comparing Morning People and Night Owls, the null hypothesis is $$H_0$$: \$$mu_1$$ = \$$mu_2$$ and the alternative is $$H_a: \mu_1$ 
eq \mu_2$. If the p-value is 0.016, what should you conclude at $$\alpha = 0.05$$?

Accepted Answer

Reject the null hypothesis; there is a significant difference between the groups.

STA 2023 Ch 8-9 Test Review: Hypothesis Testing, Confidence Intervals, and Proportions

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