What are the conditions for performing a significance test about (p 1 - p 2 )?

Random samples and large counts

Independent samples and normal distribution

Stratified samples and sufficient sample size

Cluster samples and equal variances

Why is the alternative hypothesis (Hₐ) considered two-sided in this example?

Because it is looking for a difference in both directions between p₁ and p₂

Because it states that p₁ > p₂

Because it states that p₁ < p₂

Because it states that p₁ = p₂

Do the data provide some evidence of a difference in the population proportions?

Yes, because the solution is not equal to zero.

No, because the solution is not equal to zero.

Yes, because the solution is equal to zero.

No evidence can be concluded from the given data.

What is the condition related to randomness for performing the test in the two-school example?

The data must come from separate random samples from the two schools.

The data must be collected on the same day from the two schools.

The data should be from a controlled experiment.

The data must be from non-random samples for accuracy.

According to the large counts condition, which of the following must be true?

All expected counts must be at least 10.

All expected counts must be at least 5.

All expected counts must be at least 15.

All expected counts must be at least 20.

When standardizing to get a z statistic for a test of difference between two proportions, what should you not replace in the denominator?

The population proportions p1 and p2

The standard deviations of the samples

When testing a claim about a difference between two proportions, what should not be done with p₁ and p₂?

They should be substituted with different values.

They should be assumed to be equal.

They should be combined into one larger sample.

They should be squared and added together.

Under what condition will the z statistic have approximately the standard normal distribution when testing a claim about a difference between two proportions?

When the Large Counts condition is met

When the p-value is less than the significance level

What does the P-value in the example tell us?

It indicates the probability of observing a difference in sample proportions as large as or larger than 0.064 in either direction if there is no difference in the population proportions.

It tells us the proportion of students who ate breakfast at one school.

It represents the actual difference in population proportions of students who ate breakfast at the two schools.

It shows the percentage of students who did not eat breakfast.

What do we fail to do when there is a high probability of getting a result by chance alone and the null hypothesis is true?

We fail to reject the null hypothesis

We fail to accept the null hypothesis

We fail to calculate the probability

We fail to prove the alternative hypothesis

What is the conclusion when there is not convincing evidence of a difference in the proportion of all students who eat breakfast at two schools?

The null hypothesis is not rejected

The null hypothesis is rejected

The alternative hypothesis is accepted

The alternative hypothesis is proven

What conclusion can be drawn from the confidence interval regarding the hypothesis test for the difference between the proportions of students who eat breakfast at the two schools?

We fail to reject the null hypothesis because 0 is included in the interval.

We reject the null hypothesis because 0 is not included in the interval.

We reject the null hypothesis because 0 is included in the interval.

We fail to reject the null hypothesis because 0 is not included in the interval.

Ch 10.1 Estimate Diff Between 2 Proportions

Authored by AUBREY CAMPBELL

Mathematics

9th Grade

CCSS covered

Used 23+ times

Ch 10.1 Estimate Diff Between 2 Proportions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After completing the lesson, you should be able to state hypotheses and check conditions for what type of test?

A) A significance test about a difference between two means

B) Construct a confidence interval for a difference between two proportions

C) Construct a significance test about a single mean

D) Do a significance test about a single proportion

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you be able to calculate after this lesson when performing a significance test about a difference between two proportions?

A) Margin of error and confidence interval

B) The standardized test statistic and R-value

C) The standardized test statistic and P-value

D) The mean difference and standard deviation

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What process is used to perform a significance test about a difference between two proportions?

A) The three-step process

B) The four-step process

C) The five-step process

D) The six-step process

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When comparing two proportions, the General Null Hypothesis (H₀) form is _?_

H₀: p₁ = p₂

H₀: p₁ - p₂ > 0

H₀: p₁ - p₂ ≠ 0

H₀: p₁ - p₂ = hypothesized value

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the null hypothesis H₀: p₁ - p₂ = 0 imply?

There is a hypothesized difference between the two proportions.

There is no difference between the two population proportions.

The first proportion is greater than the second.

The second proportion is greater than the first.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The following is an equivalent form to the Null Hypothesis, H₀: p₁ - p₂ = 0.

H₀: p₁ = p₂

H₀: p₁ - p₂ > 0

H₀: p₁ - p₂ ≠ 0

H₀: p₁ - p₂ < 0

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the alternative hypothesis Hₐ: p₁ - p₂ ≠ 0 suggest?

There is no difference between the two population proportions.

The first proportion is less than the second.

There is a difference between the two population proportions.

The first proportion is equal to the second.

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Ch 10.1 Estimate Diff Between 2 Proportions

After completing the lesson, you should be able to state hypotheses and check conditions for what type of test?

What should you be able to calculate after this lesson when performing a significance test about a difference between two proportions?

What process is used to perform a significance test about a difference between two proportions?

When comparing two proportions, the General Null Hypothesis (H₀) form is _?_

What does the null hypothesis H₀: p₁ - p₂ = 0 imply?

The following is an equivalent form to the Null Hypothesis, H₀: p₁ - p₂ = 0.

What does the alternative hypothesis Hₐ: p₁ - p₂ ≠ 0 suggest?

What are the conditions for performing a significance test about (p₁- p₂)?

What is the minimum count of "successes" and "failures" in each sample for constructing a confidence interval for (p₁ - p₂)?

What significance level is used in the study when comparing the proportion of
children who ate breakfast in two low-income elementary schools?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Ch 10.1 Estimate Diff Between 2 Proportions

After completing the lesson, you should be able to state hypotheses and check conditions for what type of test?

What should you be able to calculate after this lesson when performing a significance test about a difference between two proportions?

What process is used to perform a significance test about a difference between two proportions?

When comparing two proportions, the General Null Hypothesis (H0) form is _?_

What does the null hypothesis H₀: p₁ - p₂ = 0 imply?

The following is an equivalent form to the Null Hypothesis, H₀: p₁ - p₂ = 0.

What does the alternative hypothesis Hₐ: p₁ - p₂ ≠ 0 suggest?

What are the conditions for performing a significance test about (p1 - p2)?

What is the minimum count of "successes" and "failures" in each sample for constructing a confidence interval for (p1 - p2)?

What significance level is used in the study when comparing the proportion ofchildren who ate breakfast in two low-income elementary schools?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

When comparing two proportions, the General Null Hypothesis (H₀) form is _?_

What are the conditions for performing a significance test about (p₁- p₂)?

What is the minimum count of "successes" and "failures" in each sample for constructing a confidence interval for (p₁ - p₂)?

What significance level is used in the study when comparing the proportion of
children who ate breakfast in two low-income elementary schools?