Final Benchmark Review

If you want a smaller margin of error what should you do?

• Increase the sample size

• Decrease the sample size

• Increase the confidence level

• Decrease the confidence level

Tags

CCSS.HSS.IC.B.4

What is the meaning of a p-value?

• The chance the null hypothesis is true

• The chance the alternative hypothesis is true

• The proportion of times of obtaining a value of the test statistic given the null is true

• The chance of obtaining the value of the test statistic equal to the value actually obtained if the null is true

What does it mean to fail to reject a null because of a p-value of 0.3 for a proportion?

• We fail to reject the null because the sample size is only 30% of the population

• We fail to reject the null because the p-value corresponds to a z-score of 0.7

• We fail to reject the null because it is only true 30% of the time

• We fail to reject the null because the sample proportion would occur 30% of the time if the null were true

Tags

CCSS.6.SP.A.2

The t-distributions have similarities to the standard normal distribution, but:

• t-distributions are not quite symmetrical

• the spread is greater

• t-distributions are centerd at (n-1)

• t-distributions have an unknown shape

If you are given mean and sample standard deviation, what formula do you use to calulate a confidence interval?

• mean ± t* (s ÷ n)

• mean ± t* √(s ÷ n)

• mean ± z* (n ÷ s)

• mean ± t* (s ÷ √n)

If you are given a proportion and are running a significance test, how do you find the p-value on your calculator?

• 1-PropZInterval

• TInterval

• TTest

• 1-PropZTest

Tags

CCSS.HSS.IC.B.4

If we have a mean of 250, s = 100, and n = 16. And we are trying to see if there is evidence the population mean is greater than 200. To do this we test the hypothesis:

H₀: μ = 200

H_a: μ > 200

What is the p-value?

• larger than 0.10

• between 0.05 and 0.10

• between 0.01 and 0.05

• below 0.01

An SRS of 100 was taken and fifty nine were considered a success. If we were conducting a 95% confidence interval and wanted to halve the margin of error. To do this, the sample size should be changed to:

• n = 50

• n = 100

• n = 200

• n = 400

Tags

CCSS.HSS.IC.B.4

An SRS of 100 was taken and thirty five were considered a success. If we are testing the hypothesis:

H₀ : p = 0.40

H_a : p < 0.40

What is the test statistic for this test?

• 
• 
• 
• 

An SRS of 150 was taken and fifty nine were considered a success. If we were to construct a 95% confidence interval to estimate the population proportion of success. Which of the following would determine the margin of error:

• 
• 
• 
• 

Tags

CCSS.HSS.IC.B.4