Hypothesis Test AP Stat

Suppose that $51,759 was the median income for all households in 2012. Does the interval ($51,484, $52,394) provide convincing evidence that the median household income increased in 2013? 

• Yes

• No

Which of the following shows a right-tailed test?

• Ha: µ < 15

• H₀: µ < 15

• Ha: µ > 15

• H₀: µ > 15

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

• using a small level of significance

• using a large level of significance

• obtaining data with a small p-value

• obtaining data with a low test statistic

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

• a) Reject the null hypothesis

• b) Reject the alternative hypothesis

• c) Fail to reject the null hypothesis

• d) Fail to reject the alternative hypothesis

H₀: μ = k

H₁: μ ≠ k

• Left-tailed test

• Two-tailed test

• Right-tailed test

H₀: μ = k

H₁: μ > k

• Left-tailed test

• Right-tailed test

A __________ occurs if you accept the null hypothesis when it is false.

• Type I error

• Type II error

A __________ occurs if you reject the null hypothesis when it is true.

• Type I error

• Type II error

A level of significance of 5% means:

• There's a 5% chance we're wrong

• There's a 5% chance we'll be wrong if we fail to reject the null hypothesis

• There's a 5% chance we'll be wrong if we reject the null hypothesis.

• There's a 5% chance you'll get an A on the test.

A fast food outlet claims that the mean waiting time in line is less than 1.9 minutes. A random sample of 20 customers has a mean of 1.7 minutes with a standard deviation of 0.8 minute. If α = 0.05, test the fast food outlet's claim using P-values.

• There is enough evidence to reject the claim

• There is not enough evidence to reject the claim

• There is enough evidence to support the claim

• There is not enough evidence to support the claim