AP STATISTICS UNIT 6 PROGRESS
CHECK: MCQ PART A CORRECT 100%
A marketing representative wants to estimate the proportion of people in a state who
like the new design on the packaging of a certain cleaning product. The representative
interviewed 100 people at a certain supermarket, and 82 people indicated that they liked
the new design. Have the conditions for creating a confidence interval for the population
proportion been met? - ANSWERE. No, because the sample may not be representative
of all people in the state.
Alma is estimating the proportion of students in her school district who, in the past
month, read at least 1 book. From a random sample of 50 students, she found that 32
students read at least 1 book last month. Assuming all conditions for inference are met,
which of the following defines a 90 percent confidence interval for the proportion of all
students in her district who read at least 1 book last month? - ANSWERD. 0.64 ± 1.645
√ (0.64)(0.36) / 50
The manager of a city recreation center wants to estimate the percent of city residents
who favor a proposal to build a new dog park. To gather data, the manager will select a
random sample of city residents.
Which of the following is the most appropriate interval for the manager to use for such
an estimate? - ANSWERB. A one-sample z-interval for a population proportion
Sue and Javier are working on a statistics project to estimate the proportion of students
at their school who have a pet dog. Sue selects a random sample of 81 students from
the 2,400 students at their school, and Javier selects a separate random sample of 64
students. They will both construct a 90 percent confidence interval from their estimates.
Consider the situation in which the sample proportion from Sue's sample is equal to the
sample proportion from Javier's sample. Which of the following statements correctly
describes their intervals? - ANSWERD. The width of Sue's interval will be narrower than
the width of Javier's interval.
A town council wants to estimate the proportion of residents who are in favor of a
proposal to upgrade the computers in the town library. A random sample of 100
residents was selected, and 97 of those selected indicated that they were in favor of the
proposal. Is it appropriate to assume that the sampling distribution of the sample
proportion is approximately normal? - ANSWERA. No, because the sample is not large
enough to satisfy the normality conditions.
Biologists studying horseshoe crabs want to estimate the percent of crabs in a certain
area that are longer than 35 centimeters. The biologists will select a random sample of
crabs to measure.
CHECK: MCQ PART A CORRECT 100%
A marketing representative wants to estimate the proportion of people in a state who
like the new design on the packaging of a certain cleaning product. The representative
interviewed 100 people at a certain supermarket, and 82 people indicated that they liked
the new design. Have the conditions for creating a confidence interval for the population
proportion been met? - ANSWERE. No, because the sample may not be representative
of all people in the state.
Alma is estimating the proportion of students in her school district who, in the past
month, read at least 1 book. From a random sample of 50 students, she found that 32
students read at least 1 book last month. Assuming all conditions for inference are met,
which of the following defines a 90 percent confidence interval for the proportion of all
students in her district who read at least 1 book last month? - ANSWERD. 0.64 ± 1.645
√ (0.64)(0.36) / 50
The manager of a city recreation center wants to estimate the percent of city residents
who favor a proposal to build a new dog park. To gather data, the manager will select a
random sample of city residents.
Which of the following is the most appropriate interval for the manager to use for such
an estimate? - ANSWERB. A one-sample z-interval for a population proportion
Sue and Javier are working on a statistics project to estimate the proportion of students
at their school who have a pet dog. Sue selects a random sample of 81 students from
the 2,400 students at their school, and Javier selects a separate random sample of 64
students. They will both construct a 90 percent confidence interval from their estimates.
Consider the situation in which the sample proportion from Sue's sample is equal to the
sample proportion from Javier's sample. Which of the following statements correctly
describes their intervals? - ANSWERD. The width of Sue's interval will be narrower than
the width of Javier's interval.
A town council wants to estimate the proportion of residents who are in favor of a
proposal to upgrade the computers in the town library. A random sample of 100
residents was selected, and 97 of those selected indicated that they were in favor of the
proposal. Is it appropriate to assume that the sampling distribution of the sample
proportion is approximately normal? - ANSWERA. No, because the sample is not large
enough to satisfy the normality conditions.
Biologists studying horseshoe crabs want to estimate the percent of crabs in a certain
area that are longer than 35 centimeters. The biologists will select a random sample of
crabs to measure.
