What does it mean when a test is statistically significant?

the test statistic had a P-value lower than the alpha level

it has reached alpha level status

the test statistic had a P-value higher than the alpha level

it is important in practical terms

You construct a 95% confidence interval for a mean and find it to be 1.1 ± 0.8. Which of the following is true?

A test of the hypotheses H 0 : μ = 0, H a : μ ≠ 0 would reject H 0 at the 0.05 level

A test of the hypotheses H 0 : μ = 1.2, H a : μ ≠ 1.2 would reject H 0 at the 0.05 level.

A test of the hypotheses H 0 : μ = 1.1, H a : μ ≠ 1.1 would reject H 0 at the 0.05 level

All three tests above would reject H 0 at the 0.05 level.

The drying supervisor uses the new method on a random sample of 200 boards. She conducts a hypothesis test on her sample data and gets a p-value of .027. Based on the p-value , was there convincing evidence that the new method is better? Use $$\alpha$$ = 0.05.

Since our p-value of 0.027 is < $$\alpha$$ , we reject the null hypothesis. We have convincing evidence that the new method is better.

Since our p-value of 0.027 is >undefined , we fail to reject the null hypothesis. We do not have convincing evidence that the new method is better.

A test of H 0 : µ=60 versus H a : µ≠60 produces a sample mean of x-bar = 58 and a P-value of 0.04. At an α = 0.05 level, which of the following is an appropriate conclusion?

There is sufficient evidence to conclude that µ ≠ 60.

There is sufficient evidence to conclude that µ < 60.

There is sufficient evidence to conclude that µ = 60.

There is insufficient evidence to conclude that µ = 60.

There is insufficient evidence to conclude that µ ≠ 60

We want to test H 0 : µ = 1.5 vs. H a : µ ≠ 1.5 at α = 0.05 . A 95% confidence interval for µ calculated from a given random sample is (1.4, 3.6). Based on this finding we

cannot make any decision at all because the value of the test statistic is not available

cannot make any decision at all because the distribution of the population is unknown

cannot make any decision at all because (1.4, 3.6) is only a 95% confidence interval for µ

The water diet requires you to drink two cups of water every half hour from the time you get up until you go to bed, but otherwise allows you to eat whatever you like. Four adult volunteers agree to test the diet. They are weighed prior to beginning the diet and after six weeks on the diet. The weights (in pounds) are (see photo). What would a Type II error be for this test of the water diet?

Not concluding that the diet leads to weight loss when it does.

Concluding that the diet leads to weight loss when it doesn’t.

Concluding that the diet leads to weight loss when it really does.

Not concluding that the diet leads to weight loss when it really doesn’t.

Drawing a conclusion from this test when the Normality condition has not been satisfied.

Resting pulse rate is an important measure of the fitness of a person's cardiovascular system, with a lower rate indicative of greater fitness. The mean pulse rate for all adult males is approximately 72 beats per minute. A random sample of 25 male students currently enrolled in the Agriculture School at a major university was selected and the mean resting pulse rate was found to be 80 beats per minute with a standard deviation of 20 beats per minute. The experimenter wishes to test if the students are less fit, on average, than the general population. The null and alternative hypotheses are:

H 0 : x-bar = 72; H a : x-bar < 72

H 0 : x-bar = 80; H a : x-bar > 72

AP Statistics chapter 9

Authored by Laura Lockwood

Mathematics

9th Grade - University

CCSS covered

Used 238+ times

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21 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following best describes a Type I error?

The null is true, but we mistakenly reject it.

The null is false and we reject it.

The null is false, but we fail to reject it.

The null is true but we fail to reject it.

The null is true, and we fail to reject it.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

To test a claim about a mean, when the population standard deviation is unknown we use:

z procedures

Pythagorean Theorem

t procedures

np > 10 and n(1-p) > 10

The null hypothesis is represented by:

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The null hypothesis always contains a(an):

< or >

= or >

≠

When p-value is greater than alpha we:

Accept Ho

Accept Ha

Fail to reject Ho

Reject Ho

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Margin of error equals:

Critical Value ∗ standard Error

1.96

Standard Error

Which of the following best describes a type II error?

The null is true, but we mistakenly reject it.

The null is false and we reject it.

The null is false, but we fail to reject it.

The null is true but we fail to reject it.

Te null is false, and we reject it.

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AP Statistics chapter 9

Which of the following best describes a Type I error?

To test a claim about a mean, when the population standard deviation is unknown we use:

The null hypothesis is represented by:

The null hypothesis always contains a(an):

When p-value is greater than alpha we:

Margin of error equals:

Which of the following best describes a type II error?

What does it mean when a test is statistically significant?

How can you reduce both Type I and Type II errors?

A researcher plans to conduct a test of hypotheses at the α = 0.01 significance level. She designs her study to have a power of 0.90 at a particular alternative value of the parameter of interest. The probability that the researcher will commit a Type I error is

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