Question 1

The following figure shows a randomization distribution for the hypotheses  versus  The statistic used for each sample is  Which of the two possible sample results provides the most evidence against  ?

Accepted Answer

A

Question 2

The average SAT-Critical Reading score for college bound students taking the exam in the 2018-2019 academic year was 501 531. A highly selective university wants to know if their 2020 incoming class had an average SAT-Critical Reading score that was higher than the national average. Which of the following possible samples provides the most evidence for this claim?

Accepted Answer

D

Question 3

A statistical test uses data from a sample to assess a claim about a population.

Accepted Answer

A statistical test evaluates hypotheses about a population parameter based on sample data, determining the likelihood of observing the sample data if the null hypothesis is true.

Question 4

Identify the error in the following hypotheses:  versus

Accepted Answer

The answer of Identify the error in the following hypotheses:...

Question 5

Identify the error in the following hypotheses: of  versus

Accepted Answer

The answer of Identify the error in the following hypotheses:...

Question 6

Identify the error in the following hypotheses:  versus

Accepted Answer

The answer of Identify the error in the following hypotheses:...

Question 7

Which of the following samples provides the most evidence that the amount of time spent studying for an exam and the grade on the exam are positively correlated?

Accepted Answer

The answer of Which of the following samples provides the...

Question 8

Use the following to answer the questions below:
A study described in Attention, Perception, and Psychophysics investigated the impacts of multi-tasking on people who play video games and those who don't. Participants in the study were asked to perform three visually demanding tasks with (dual-task) and without (single-task) answering unrelated questions over the phone. One of the tasks involved tracking multiple circles moving around on a computer monitor. At the 5% significance level, the authors of the study concluded "tracking accuracy was significantly worse in the dual-task condition" for both people who play video games and those who do not.
-What does the phrase "significantly worse" mean in this context?

Accepted Answer

The answer of Use the following to answer the questions...

Question 9

Of the two p-values, which provides more evidence against  ?

Accepted Answer

The answer of Of the two p-values, which provides more...

Question 10

-  p-value = 0.72

Accepted Answer

The answer of 
-  p-value = 0.72
...

Question 11

-  p-value = 0.293

Accepted Answer

The answer of 
-  p-value = 0.293
...

Question 12

-  p-value = 0.138

Accepted Answer

The answer of 
-  p-value = 0.138
...

Question 13

- p-value = 0.019

Accepted Answer

The answer of 
- p-value = 0.019
...

Question 14

The randomization distribution for testing the hypotheses  versus  is provided. The sample statistic is  Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this test.

Accepted Answer

1/100 = 0.01

Question 15

The provided figure displays the randomization distribution for testing  versus 
  
The p-value for the sample mean  = 112 is closest to

Accepted Answer

The answer of The provided figure displays the randomization distribution...

Question 16

Decreasing the significance level of a hypothesis test (say, from 5% to 1%) will cause the p-value of an observed test statistic to

Accepted Answer

The p-value is a measure of the evidence against the null hypothesis provided by the data, and it is calculated based on the observed test statistic. Changing the significance level does not affect the p-value itself; it only affects the threshold for deciding whether to reject the null hypothesis.

Question 17

Using the definition of a p-value, explain why the area in the tail of a randomization distribution is used to compute a p-value.

Accepted Answer

The answer of Using the definition of a p-value, explain...

Question 18

A Type I error occurs by

Accepted Answer

A Type I error occurs when the null hypothesis is true, but it is incorrectly rejected.

Question 19

Using a significance level of 5%, the appropriate conclusion for a test with a p-value of 0.0421 would be:

Accepted Answer

The answer of Using a significance level of 5%, the...

Question 20

The significance level, ?, represents the tolerable probability of making a Type II error.

Accepted Answer

The significance level, denoted by ?, represents the tolerable probability of making a Type I error, not a Type II error.

Quiz 4: Hypothesis Tests

The following figure shows a randomization distribution for the hypotheses versus The statistic used for each sample is Which of the two possible sample results provides the most evidence against ?

A statistical test uses data from a sample to assess a claim about a population.

Identify the error in the following hypotheses: versus

Identify the error in the following hypotheses: of versus

Identify the error in the following hypotheses: versus

Which of the following samples provides the most evidence that the amount of time spent studying for an exam and the grade on the exam are positively correlated?

Of the two p-values, which provides more evidence against ?

- p-value = 0.72

- p-value = 0.293

- p-value = 0.138

- p-value = 0.019

The randomization distribution for testing the hypotheses versus is provided. The sample statistic is Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this test.

The provided figure displays the randomization distribution for testing versus The p-value for the sample mean = 112 is closest to

Decreasing the significance level of a hypothesis test (say, from 5% to 1%) will cause the p-value of an observed test statistic to

Using the definition of a p-value, explain why the area in the tail of a randomization distribution is used to compute a p-value.

A Type I error occurs by

Using a significance level of 5%, the appropriate conclusion for a test with a p-value of 0.0421 would be:

The significance level, ?, represents the tolerable probability of making a Type II error.