stat test 3

The sampling distribution of the proportion follows the normal distribution when the values np and nq are greater than or equal to ________.

5

When calculating a confidence interval for the mean using a sample size of less than 30 with an unknown population standard deviation, the ________ is used.

Student's t-distribution

Susan would like to conduct a survey of homeowners in the Meadowbrook neighborhood to get their opinions on proposed road modifications in the area. Which of the following is an example of a cluster sample?

Susan randomly chooses two streets in the neighborhood and selects every home on these streets.

Which one of the following statements is not true regarding the characteristics of the Student's t-distribution?

The shape of the Student's t-distribution is narrower than the shape of the normal distribution.

The sampling distribution of the proportion follows the ________ probability distribution.

binomial

When calculating a confidence interval for proportions, we assume that proportion data follow the ________________________.

binomial distrobution

A ________ for the mean is an interval estimate around a sample mean that provides us with a range of where the true population mean lies.

confidence interval

As the sample size decreases, the standard error of the proportion will also decrease

false

The margin of error can be reduced by reducing the size of the sample.

false

To use the Central Limit Theorem, we need to know the mean and standard deviation of the population.

false

For a sample size of two or more, the standard error of the mean must be ______________

less than the population standard deviation

A ________ is a single value that best describes the population of interest.

point estimate

The Central Limit Theorem plays an important role in statistics because it provides information about the shape of the

sampling distribution when the sample size is sufficiently large

Deanna has been hired to visit the local shopping mall to conduct a survey about the upcoming political election. She needs to select respondents at the mall and ask them questions about their voting tendencies. Voting records show that 50% of the local population are registered as Republicans, 35% are registered as Democrats, and the remaining as Independents. Deanna wants to be sure that her final sample has a similar proportion of voters. Which of the following sampling techniques best describes Deanna's method.

stratified

Periodicity is present in the population when

there is a pattern in the population consistent with the value of k that is chosen in systematic sampling.

A 99% confidence interval has a greater chance of "catching" the true population mean when compared to a 90% confidence interval.

true

An Internet poll, where individuals may respond to a survey as many times as they choose to, is an example of a nonprobability sample.

true

The point estimate may not equal the true population mean because of the presence of sampling error.

true

The variation in sample means is measured by the standard error of the mean.

true

When substituting the sample standard deviation for the population standard deviation, we can no longer rely on the normal distribution to provide the critical z-score for the confidence interval.

true