Statistics Final Benchmark Review

If you are given mean and population standard deviation for a confidence interval, what is your critical value?

• z*

• t*

Tags

CCSS.HSS.ID.A.4

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

If we obtain a p-value of 0.06 the test would be statistically significant for which of the following levels of α?

• α = 0.10

• α = 0.05

• α = 0.01

• P = 0.06 can never be statistically significant

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 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 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 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 150 was taken and fifty nine 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?

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