Hypothesis Testing One Sample

In a national survey of 2013 adults, 1283 indicated that they believe rudeness is a more serious problem than in years past. Does this indicate that more than 3/4 of American adults believe rudeness is a worsening problem? State the alternative hypothesis.

• H_a: p > .75, where p is the true proportion of Americans who believe rudeness is worsening.

• H_a: p = .75, where p is the true proportion of Americans who believe rudeness is worsening.

• H_a: p <.75, where p is the true proportion of Americans who believe rudeness is worsening.

In a national survey of 2013 adults, 1283 indicated that they believe rudeness is a more serious problem than in years past. Does this indicate that more than 3/4 of American adults believe rudeness is a worsening problem? State the null hypothesis.

• H_o: p > .75, where p is the true proportion of Americans who believe rudeness is worsening.

• H_o: p = .75, where p is the true proportion of Americans who believe rudeness is worsening.

• H_o: p < .75, where p is the true proportion of Americans who believe rudeness is worsening.

The Associated Press found that 730 of 1000 randomly selected adults preferred to watch movies at home rather than at a movie theater. Is there convincing evidence that the majority of adult Americans prefer watching movies at home? State the alternative hypothesis.

• H_a: p = .50, where p is the true proportion of adult Americans who prefer watching movies at home.

• H_a: p < .50, where p is the true proportion of adult Americans who prefer watching movies at home.

• H_a: p > .50, where p is the true proportion of adult Americans who prefer watching movies at home.

In a survey of 526 US businesses, 400 indicated that they monitor employee's web site visits. Is there sufficient evidence that more than 70% of US businesses monitor employees' web site visits? State the null hypothesis.

• H_o: p = .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

• H_o: p < .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

• H_o: p > .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

In a random sample of 1000 adult Americans, 700 indicated that they oppose the reinstatement of a military draft. Is there convincing evidence that the proportion of American adults who oppose the reinstatement of the draft is different from two-thirds? State the null hypothesis.

• H_o: p < 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

• H_o: p > 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

• H_o: p = 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

What is the only option for the null hypothesis? 

• H₀ = k

• H₀ > k

• H₀ < k

• H₀ ≠ k

A recruiter for the Super Teachers School Board advertised that the average teacher's salary in a certain competing district is less than what his district offers, $50,000. A random sample of 50 teachers from the competing district had a mean annual salary of $48,300. The population standard deviation is known to be $8,000. Use a 0.01 level of significance to test the recruiter's claim.

What is your decision?

• Reject the Null

• Fail to Reject the Null

• Accept the Null

Environmental advocates believe that there is too much Mercury in a town's lake. To test their claim, they took 7 samples of water from the lake and measured the concentration of mercury, in milligrams per cubic meter, in each sample. Assume the population distribution is normal. The sample results were:

1.02, 1.23, 0.91, 1.29, 1.01, 1.35, 1.43

Perform a hypothesis test to determine if the mean concentration of mercury is greater than 1 milligram per cubic meter. Use a 0.05 level of significance.

What is the p-value. Round to 4 decimal places.

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%. Use a α=0.01 level of significance.

• Z Test

• T Test

• 1-Prop Z Test

• X² Test