Module 03 Practice Quiz

A pathologist claims that the proportion of the population who have undiagnosed cancer is 3.2%. Express the null and alternative hypothesis in symbolic form.

• Ho: p = 0.032, H1: p > 0.032

• Ho: p = 0.032, H1: p < 0.032

• Ho: p = 0.032, H1: p ≠ 0.032

• Ho: p < 0.032, H1: p > 0.032

A claim is made that texting while driving now accounts for more than 70% of fatal automobile accidents in the United States. A sample of 500 accidents are investigated and it is found that 74% of them involved texting while driving. Find the value of the test statistic z.

• 1.9518

• -2.0391

• 2.7603

• -1.8223

A magazine reports that the proportion of households in a certain city that have pets is 62%. An independent researcher claims that the figure is actually higher. A random sample of 230 households found 150 of them owned pets. Using a significance level of 0.05, we find the P-Value = 0.1574. What should we conclude about the original claim?

• There is not sufficient evidence to support the claim that the proportion of households that have pets in a certain city is higher than 62%.

• There is sufficient evidence to support the claim that the proportion of households that have pets in a certain city is higher than 62%.

• There is sufficient evidence to warrant the rejection of the claim that the proportion of households that have pets in a certain city is higher than 62%.

• There is sufficient evidence to support the null hypothesis that the proportion of households that have pets in a certain city is higher than 62%.

Tags

CCSS.HSS.IC.B.4

Which of the following statements is true?

• In a hypothesis test, a very low P-value indicates strong support of the alternative hypothesis.

• When repeating the same hypothesis test with different random samples of the same size, the conclusions will be the same.

• A Type II error is the results of failing to reject a null hypothesis when it is true.

• The normal distribution is used to test a claim about a population mean when the population standard deviation is unknown.

A cookie manufacturer says that there is an average of 15 chocolate chips in their chocolate chip cookies. The American Counsel of Cookie Quality, which is totally a real thing, claims that the true average is less than that. Write the hypotheses in symbolic form.

• H₀: µ = 15, H₁: µ < 15

• H₀: µ < 15, H₁: µ = 15

• H₀: µ = 15, H₁: µ > 15

• H₀: µ = 15, H₁: µ ≠ 15

An environmental advocacy group claims that a coal plant is averaging an output of more than 3.5 million tons of CO₂ per year. Identify the type II error of the test.

• Fail to reject the null hypothesis when the average output of a coal plant is averaging more than 3.5 million tons of CO₂ per year

• Fail to reject the null hypothesis when the average output of a coal plant is equal to 3.5 million tons of CO₂ per year

• Reject the null hypothesis when the average output of a coal plant is averaging more than 3.5 million tons of CO₂ per year

• Reject the null hypothesis when the average output of a coal plant is equal to 3.5 million tons of CO₂ per year

Find the critical value(s) of χ² based on the following information; H₁: σ > 1.33, n = 13, α = 0.025.

• 19.1328

• 6.8167

• 23.3367

• 4.4038

Use the given information to find the P-Value and make a decision about the null hypothesis. At 0.01 significance the test statistic in a right-tailed test is z = 3.01.

• 0.0013, fail to reject the null hypothesis

• 0.0013, reject the null hypothesis

• 0.9987, fail to reject the null hypothesis

• 0.9987, reject the null hypothesis