Stats 8.2 - 8.3 Hypothesis Testing

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

• obtaining sample data with a large p-value

• using a large level of significance
• obtaining sample data with a small p-value

• obtaining data with a low test statistic

Which best describes what the p-value represents:

• the probability of a type 1 error

• the probability that the alternative hypothesis is true
• the probability of obtaining these sample results (or one more extreme) if the null hypothesis is true

• probability we reject the null hypothesis and it's actually true

A hypothesis test has null hypothesis p = 0.4, and a sample results in 35% of the sample of 100 people being successes. Find the test statistic.

• .3421

• -0.104

• -1.02

• .1539

• .99

• .05

• .02

• .01

• .99

• .05

• .02

• .01

In a random sample of 1000 adult Americans, only 430 could name at least one justice who is currently serving on the US Supreme Court. A claim is that fewer than half of adult Americans can name at least one justice who is currently serving on the US Supreme Court. State the alternative hypothesis.

• H₁: p = 0.5

• H₁: p > 0.5

• H₁: p < 0.5

• H₁: p ≥ 0.5

Suppose the P-value for a hypothesis test is 0.0304. Using a significance level of 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

A state university wanted to increase its retention rate more than 4%.  After implementing several new programs, the university reevaluated its retention rate using a random sample of 352 students and found the retention rate increase at 5%.  Does the data support the claim that the new programs increased retention more than 4%?

• This data does not support the claim that the new programs increased retention more than 4%; they should not continue with the new programs.

• This data does support the claim that the new programs increased retention more than 4%; they should continue with the new programs.

Tags

CCSS.HSS.IC.B.4

A large-scale study found that 42% of Americans play video games. A random sample of 1100 teenagers were asked whether they play games online; 575 said they did. Is there sufficient evidence to suggest that the proportion of teens who play video games is different from the national figure? Use a 5% level of significance.

• There is enough evidence to support the claim that there is a difference.

• There is NOT enough evidence to support the claim that there is a difference.

• There is not enough evidence to reject the claim that there is a difference.

• There is enough evidence to reject the claim that there is a difference.

Tags

CCSS.HSS.IC.B.4

The percentage of female physicians is 27%. In a survey of physicians, 45 of the 120 were women. Is there sufficient evidence at the α = 0.01 to claim that the proportion of women physicians is greater than 27%?

• There is not enough evidence to support the claim that the proportion of women physicians is greater than 27%

• There is enough evidence to support the claim that the proportion of women physicians is greater than 27%

• There is enough evidence to reject the claim that the proportion of women physicians is greater than 27%

• There is not enough evidence to reject the claim that the proportion of women physicians is greater than 27%

Tags

CCSS.HSS.IC.B.4