10.4B Lesson Check

State the null and alternative hypotheses.

A customer service center claims the mean time a customer is on hold is less than 2 minutes.

• H₀: μ = 2 H₁: μ < 2

• H₀: μ < 2 H₁: μ = 2

• H₀: μ = 2 H₁: μ > 2

• H₀: μ > 2 H₁: μ = 2

Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

H₀: p = 0.43 H₁: p > 0.43

• left-tailed

• right-tailed

• two-tailed

• What's a tail?

You are testing the claim that the mean cost of a new car is more than $25,200. How should you interpret a decision that rejects the null hypothesis?

• There is sufficient evidence to conclude that the mean cost of a new car is more than $25,200.

• There is not sufficient evidence to conclude that the mean cost of a new car is more than $25,200.

• There is sufficient evidence to conclude that the mean cost of a new car is $25,200.

Determine the test statistic z₀ for the following situation:

H₀: p = 0.23 versus H₁: p ≠ 0.23;

n = 200; x = 52

• z₀ = 0.97

• z₀ = 1.01

• z₀ = 0.51

• z₀ = –1.01

True or false:

Suppose we are testing the hypotheses

H₀: p = 0.152 versus H₁: p > 0.152 and we find the test statistics z₀ = 1.85. You would reject the null hypothesis at the α = 0.05 level significance.

• True

• False