Hypothesis Testing Quiz

Indicate whether the statement is true or false. If the p-value is 0.05, the null hypothesis would be rejected.

• True

• False

Indicate whether the statement is true or false. The decision to reject or fail to reject H0 is based on the p-value.

• True

• False

Indicate whether the statement is true or false. It is customary to say that the result of a hypothesis test is statistically significant when the p-value is smaller than α.

• True

• False

Indicate whether the statement is true or false. A type I error is rejecting the null hypothesis, when the null hypothesis is false.

• True

• False

Indicate whether the statement is true or false. A type II error is failing to reject the null hypothesis, when the null hypothesis is false.

• True

• False

Indicate whether the statement is true or false. For a two-tailed z test, the p-value for a calculated z value of 2.37 is the area to the right of 2.37 on the z curve.

• True

• False

Tags

CCSS.HSS.ID.A.4

A company negotiator claims that only 35% of union members will support a strike, but a union rep believes that the true percentage is greater and runs a hypothesis test at the 5% level of significance. If 57 out of a random sample of 150 members say they are willing to strike, what is the p-value of this test?(use 5:1 prop Z test)

• a. p = 0.770

• b. p = 0.779

• c. p = 0.221

• d. p = 0.441

A December 2007 Gallup Poll reported that 43% of Americans use the Internet for an hour or more each day. You suspect that a higher proportion of students at your school use the Internet that much. To find out, you take a random sample of 60 students and find that 35 of them use the Internet for an hour or more each day. You will test the hypotheses H₀ : p = 0.43; Hₐ : p > 0.43. The test statistic and P-value for this situation are:

(use 5:1 prop Z test)

• z = 2.399; p-value = 0.008

• z = -2.399; p-value = 0.008

• z = 2.399; p-value = 0.010

• z = -2.399; p-value = 0.010

The U.S. Department of Transportation reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 27 records of automobile driver fatalities in Kit Carson County, Colorado, showed that 15 involved an intoxicated driver. Carson County believes their proportion is lower than the national average. Which p-value for this test?(use 5:1 prop Z test)

• p = 0.996

• p = 0.004

• p = 0.008

• p = -2.64

Before televised debates, a poll of 600 registered voters in Texas showed 450 in favor of a particular candidate and in Florida a poll of 800 voters showed 560 in favor of the candidate. What is the test statistics that should be used to determine if there is sufficient evidence that the candidate is more popular in Texas than in Florida (ptexas>pflorida)?(use 6:2- prop Z test)

• z = -2.065

• z = 2.065

• z = 0.02

• z = 0.98

Tags

CCSS.HSS.ID.A.4