AP Stats Significance Tests

A left-tailed test with n = 41 has a test statistic t = 2.72. Which is the correct p-value?

• 0.0033

• Between 0.0005 and 0.005

• Between 0.010 and 0.0010

• 0.9967

Find the critical value(s) for a test using the following hypotheses and a 5% significance level.

• Z* = -1.960

• Z* = -1.645

• Z* = 1.645

• |Z*|= 1.645

What is the name of the claim we are trying to find evidence against?

• null hypothesis

• alternative hypothesis

• margin of error

• point estimate

A sports publication states that 32% of married men cannot watch football games because their wives prevent it.  You think that this is untrue.  What is your null hypothesis?

• The proportion of married men who cannot watch football because their wives prevent it is 0.32.

• The proportion of married men who cannot watch football because their wives prevent it is greater than 0.32.

• The proportion of married men who cannot watch football because their wives prevent it is less than 0.32.

• The proportion of married men who cannot watch football because their wives prevent it is not 0.32.

The p-value of a hypothesis test is .0281.  Is this result significant at the 5% significance level?

• Yes, because .0281 > .05.

• Yes, because .0281 < .05.

• No, because .0281 < .05.

• No, because .0281 > .05.

The p-value of a hypothesis test is .0281. Is this result significant at the 1% significance level?

• Yes, because .0281 > .01.

• No, because .0281 > .01.

• No, because .0281 < .01.

• Yes, because .0281 < .01.

Find the critical value(s) for a test using the following hypotheses and a 5% significance level.

• |Z*| = 1.960

• |Z*| = 1.645

• |Z*| = 2.576

• |Z*| = .90

Find the critical value(s) for a test using the following hypotheses and a 10% significance level.

• |Z*|= 1.282

• Z*= -1.645

• |Z*|= 1.645

• Z*= -1.282

Without using any calculator or tables, determine which of these is a plausible value for the upper critical value for a 93% confidence interval:

• Z* = 1.645

• Z* = 1.812

• Z* = 1.960

• Z* = 1.971

Given the following scenario, state whether we would fail to reject or reject the null. 

• Reject H₀

• Do no reject H₀