For a two-sample z-test for proportions, what is the pooled sample proportion (p̂c) formula?

p̂c = (x₁ + x₂) / (n₁ + n₂)

What is the degrees of freedom (df) used in the formula for chi-square (χ²)?

(Number of rows - 1)(Number of columns - 1)

Number of rows + number of columns - 1

What is the point estimate in a confidence interval?

The average of the upper and lower bounds of the confidence interval

The difference between the upper and lower bounds of the confidence interval

The standard error of the confidence interval

The margin of error of the confidence interval

What is the margin of error in a confidence interval?

The difference between the point estimate and the upper bound of the confidence interval

The sum of the point estimate and the upper bound of the confidence interval

The product of the critical value and the standard error

The ratio of the standard error to the point estimate

What is the power of a test?

The probability of correctly rejecting the null hypothesis, given the alternative hypothesis is true

The probability of rejecting the null hypothesis when it is true

The probability of not rejecting the null hypothesis when it is false

The probability of correctly accepting the null hypothesis, given the alternative hypothesis is false

What is a Type I error?

Rejecting the null hypothesis when it is true

Rejecting the null hypothesis when the alternative hypothesis is true

Not rejecting the null hypothesis when the alternative hypothesis is true

Not rejecting the null hypothesis when it is false

What is a Type II error?

Not rejecting the null hypothesis when it is false

Rejecting the null hypothesis when the alternative hypothesis is true

Not rejecting the null hypothesis when the alternative hypothesis is true

Rejecting the null hypothesis when it is true

What does it mean for a statistic to be unbiased when estimating a population parameter?

The center of the sampling distribution for the statistic is equal to the population parameter

The statistic is always equal to the population parameter

The statistic is always greater than the population parameter

The statistic is always less than the population parameter

What are the conditions for a one-sample t-test and t-interval for μ?

Conditions for a one-sample t-test and t-interval for μ

Conditions for a chi-square test

Conditions for a one-sample z-test and z-interval for p

Conditions for a two-sample t-test and t-interval for μ1−μ2

What are the conditions for a two-sample z-test and z-interval for p1−p2?

Conditions for a two-sample z-test and z-interval for p1−p2

Conditions for a two-sample t-test and t-interval for μ1−μ2

Conditions for a one-sample t-test and t-interval for μ

Conditions for a chi-square test

Why do we check the Random, 10%, and Normal/Large Sample conditions?

What is the difference between a parameter and a statistic?

What is the Central Limit Theorem?

What is the difference between the population distribution, the sample distribution, and the sampling distribution?

What is the Central Limit Theorem?

Why do we check the Random, 10%, and Normal/Large Sample conditions?

What is the difference between a parameter and a statistic?

What is a parameter in the context of statistics?

A number that describes the population. Ex: (μ, p, σ)

A number that describes the sample. Ex: (x̄, p̂, s)

A distribution of responses for every individual of the population.

A distribution of values for the statistic for all possible samples of a given size from a given population.

What does the central limit theorem (CLT) state?

When the sample size is sufficiently large, the sampling distribution of the mean will be approximately normally distributed.

When the sample size is small, the sampling distribution of the mean will be approximately normally distributed.

The sample distribution is the distribution of responses for a single sample.

The population distribution is the distribution of responses for every individual of the population.

Which of the following conditions is required for the 'Large Counts' condition in a hypothesis test for proportions?

All expected counts must be at least 5.

What is the '10%' condition when sampling without replacement?

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

The sample size must be 10% of the population size.

The sample size must be greater than 10% of the population size.

The sample size must be exactly 10% of the population size.

What is the difference between a population distribution and a sample distribution?

A population distribution is the distribution of responses for every individual of the population, while a sample distribution is the distribution of responses for a single sample.

A population distribution describes the sample, while a sample distribution describes the population.

A population distribution is the distribution of responses for a single sample, while a sample distribution is for every individual of the population.

There is no difference; both terms describe the same concept.

What factors affect the width of a confidence interval?

The sample size and the confidence level

The decision based on a P-value

The probability that the interval captures the population parameter

The choice of the right inference procedure

What does it mean if we reject (or fail to reject) the null hypothesis?

It means the null hypothesis is probably true or false based on the data

It means the expected counts in a chi-square test are calculated

It means a decision is made based on a P-value

It means the right inference procedure has been chosen

What should you do if the P-value is less than or equal to the significance level (α)?

Fail to reject the null hypothesis

Decrease the confidence interval

What does a confidence interval that is calculated from sample data represent?

The confidence of capturing the population parameter

The probability of capturing the population parameter

The percentage of capturing the population parameter

What does rejecting the null hypothesis imply?

There is convincing statistical evidence to support the alternative hypothesis

There is not enough statistical evidence to support the alternative hypothesis

The expected count is equal to (row total)(column total) / table total

The P-value is greater than the significance level (α)

What does failing to reject the null hypothesis imply?

There is not enough statistical evidence to support the alternative hypothesis

There is convincing statistical evidence to support the alternative hypothesis

The confidence interval width will decrease

The P-value is less than or equal to the significance level (α)

What is considered an upper outlier in a data set?

C) A value that is more than 1.5 times the IQR above Q3

A) A value that is more than 1.5 times the IQR below Q1

B) A value that is more than 2 standard deviations away from the mean

D) A value that is less than Q1 minus 1.5 times the IQR

What does the acronym SOCV stand for?

A) Shape, Outliers, Center, Variability

B) Size, Origin, Context, Variance

C) Standard, Order, Count, Variation

D) Sum, Occurrence, Central, Variation

How is the interquartile range (IQR) calculated?

D) The sum of Q1 and Q3 divided by 2

What is the percentile of a value that is less than or equal to the number of values of interest in a data set?

A) (Number of values less than or equal to the value of interest) / (Number of values in the data set)

B) (Number of values in the data set) / (Number of values less than or equal to the value of interest)

C) (Number of values greater than the value of interest) / (Number of values in the data set)

D) (Number of values less than the value of interest) / (Number of values in the data set)

According to the image, which of the following statements is true regarding the standard deviation?

C) It gives the typical distance that values are away from the mean.

A) It is the same regardless of the distribution shape.

B) It is not related to the mean of the distribution.

D) It is only used when the distribution is symmetric.

What does the y-intercept of the Least Squares Regression Line represent?

The predicted value of y when x is 0

The slope of the regression line

The strength of the linear relationship between x and y

The average value of the y-variable

What is the slope of the Least Squares Regression Line used to determine?

The strength of the linear relationship between x and y

The predicted value of y when x is 0

The proportion of the variance in the dependent variable that is predictable from the independent variable

The average value of the y-variable

What does the correlation r indicate about a dataset?

The strength and direction of the linear relationship between two variables

The difference between the highest and lowest values of the dependent variable

The proportion of the variance in the dependent variable that is predictable from the independent variable

The predicted value of y when x is 0

What is the difference between categorical and quantitative variables?

Categorical variables represent characteristics that can be placed into categories, while quantitative variables represent characteristics that can be measured numerically

Categorical variables allow for numerical operations, while quantitative variables do not

Categorical variables represent characteristics that can be counted, while quantitative variables represent characteristics that can be measured

Categorical variables are always continuous, while quantitative variables are always discrete

What is the difference between discrete and continuous variables?

Discrete variables can only take on specific values, while continuous variables can take on any value within a range

Discrete variables can take on any value within a range, while continuous variables can only take on specific values

Discrete variables represent counts, while continuous variables represent measurements

Discrete variables are used for categorical data, while continuous variables are used for quantitative data

What does the slope (b) in the linear regression equation represent?

The change in the predicted y for each unit increase in x

The predicted value of y when x is 0

The percentage of variation of y explained by the regression line

The strength and direction of the relationship between two variables

AP Statistics Review Quiz

Authored by Alexandra Grondelle

Mathematics

12th Grade

CCSS covered

Used 2+ times

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100 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to estimate the confidence interval for the mean difference between two independent samples?

One-sample t-interval for μ

Two-sample z-interval for p1−p2

Two-sample t-interval for μ1−μ2

Chi-Square Test for Homogeneity/Independence

What test is used for determining if there is a significant difference between the proportions of two samples?

One-sample z-test for p

Two-sample t-test for μ1−μ2

Two-sample z-test for p1−p2

Chi-Square Test for Goodness of Fit

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which test is applied to assess whether two categorical variables are independent?

One-sample t-test for μ

Two-sample z-interval for p1−p2

Two-sample t-interval for μ1−μ2

Chi-Square Test for Homogeneity/Independence

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the appropriate test to compare the mean of a single sample to a known value?

One-sample t-interval for μ

One-sample t-test for μ

One-sample z-interval for p

Chi-Square Test for Goodness of Fit

Which formula would you use to construct a confidence interval for the proportion of a single sample?

One-sample t-interval for μ

One-sample z-interval for p

Two-sample t-interval for μ1−μ2

Chi-Square Test for Homogeneity/Independence

For which purpose is the Chi-Square Test for Goodness of Fit used?

To estimate the confidence interval for the mean of a single sample

To test the difference between the means of two independent samples

To construct a confidence interval for the difference in proportions of two samples

To determine if observed frequencies differ from expected frequencies

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the degrees of freedom (df) for a one-sample t-test?

n - 2

n + 1

n - 1

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AP Statistics Review Quiz

Which formula is used to estimate the confidence interval for the mean difference between two independent samples?

What test is used for determining if there is a significant difference between the proportions of two samples?

Which test is applied to assess whether two categorical variables are independent?

What is the appropriate test to compare the mean of a single sample to a known value?

Which formula would you use to construct a confidence interval for the proportion of a single sample?

For which purpose is the Chi-Square Test for Goodness of Fit used?

What is the degrees of freedom (df) for a one-sample t-test?

Which calculator function can be used as a time saver for a two-sample t-test?

When checking the Large Counts condition for a one-sample z-test for proportions, which symbol represents the population proportion?

For a two-sample z-test for proportions, what is the pooled sample proportion (p̂c) formula?

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