The National Longitudinal Study of Adolescent Health interviewed a random sample of 4877 teens (grades 7 to 12). One question asked was "What do you think are the chances you will be married in the next ten years?" Above is a two-way table of the responses by gender. Which of the following would be the most appropriate type of graph for these data?

A bar chart showing the conditional distribution of opinion about marriage for each gender

A bar chart showing the marginal distribution of opinion about marriage

bar chart showing the marginal distribution of gender

A bar chart showing the conditional distribution of gender for each opinion about marriage

Dotplots that display the number in each opinion category for each gender

The National Longitudinal Study of Adolescent Health interviewed a random sample of 4877 teens (grades 7 to 12). One question asked was "What do you think are the chances you will be married in the next ten years?" Above is a two-way table of the responses by gender.

there is no association between gender and opinion about marriage in the population

equal proportions of female and male teenagers are almost certain they will be married in 10 years

there is no difference between the distributions of female and male teenagers' opinions about marriage in this sample

there is no difference between the distributions of female and male teenagers' opinions about marriage in the population

there is no association between gender and opinion about marriage in the sample

The National Longitudinal Study of Adolescent Health interviewed a random sample of 4877 teens (grades 7 to 12). One question asked was "What do you think are the chances you will be married in the next ten years?" Above is a two-way table of the responses by gender. For these data, χ2 = 69.8 with a P-value of approximately 0. Assuming that the researchers used a significance level of 0.05, which of the following is true?

Both a type I and type II error are possible

There is no chance of making a type I or type II error because the P-value is approximately 0

There is no chance of making a type I and type II error because the calculations are correct

Recent revenue shortfalls in a Midwestern state led to a reduction in the state budget for higher education. To offset the reduction, the largest state university proposed a 25% tuition increase. It was determined that such an increase was needed simply to compensate for the lost support from the state. Separate random samples of 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors from the university were asked whether or not they were strongly opposed to the increase, given that it was the minimum increase necessary to maintain the university’s budget at the current levels. The results are given in the table. Which hypotheses would be appropriate for performing a chi-square test?

The null hypothesis is that the distribution of student opinion about the proposed tuition increase is the same for each of the four years at this university. The alternative is that the distribution is different for at least two of the four years.

The null hypothesis is that the closer students get to graduation, the less likely they are to be opposed to tuition increases. The alternative is that how close students are to graduation makes no difference in their opinions.

The null hypothesis is that the mean number of students who are strongly opposed is the same for each of the four years. The alternative is that the mean is different for at least two of the four years.

The null hypothesis is that year in school and student opinion about the tuition increase in the sample are independent. The alternative is that these variables are dependent.

The null hypothesis is that there is an association between year in school and opinion about the tuition increase at this university. The alternative hypothesis is that these variables are not associated.

AP Statistics Unit Review

Authored by Anthony Clark

Mathematics

12th Grade

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the graphs would have a correlation coefficient of r = 0 ?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the graphs would have a correlation coefficient of r = 0.98 ?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the graphs would have a correlation coefficient of r = -0.97 ?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the graphs would have a correlation coefficient of r = 0.69 ?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the type and strength of the correlation for the following data.

Strong Positive

Weak Positive

Strong Negative

Weak Negative

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the type and strength of the correlation for the following data.

Strong Positive

Weak Positive

Strong Negative

Weak Negative

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Based on this scatterplot, approximate what score should a student who attended class 22 days expect to receive on the exam?

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AP Statistics Unit Review

Which of the graphs would have a correlation coefficient of r = 0 ?

Which of the graphs would have a correlation coefficient of r = 0.98 ?

Which of the graphs would have a correlation coefficient of r = -0.97 ?

Which of the graphs would have a correlation coefficient of r = 0.69 ?

Describe the type and strength of the correlation for the following data.

Describe the type and strength of the correlation for the following data.

Based on this scatterplot, approximate what score should a student who attended class 22 days expect to receive on the exam?

Describe the correlation, if the correlation coefficient is r = -0.26

Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.

Find the equation of the line of best fit for this table.

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