Hypothesis Testing Quiz

Write a hypothesis pair using correct notation, label which hypothesis is the claim, and state the direction of the test as left-tail, right-tail, or two-tail for the following statement: The mean amount of cola in a particular sized can is at least 11 ounces.

• H0: μ < 11 (Claim), H1: μ ≥ 11, Direction: Right-tail

• H0: μ ≥ 11 (Claim), H1: μ < 11, Direction: Left-tail

• H0: μ = 11 (Claim), H1: μ ≠ 11, Direction: Two-tail

• H0: μ > 11, H1: μ ≤ 11 (Claim), Direction: Left-tail

Which of the following hypotheses pairs correctly represents the claim that a majority of people in the 18-29 age bracket voted in the last presidential election, and also states the direction of the test?

• H0: p ≤ 0.5 vs. H1: p > 0.5 (Claim), Right-tail

• H0: p ≥ 0.5 vs. H1: p < 0.5 (Claim), Left-tail

• H0: p = 0.5 vs. H1: p ≠ 0.5 (Claim), Two-tail

• H0: p > 0.5 (Claim) vs. H1: p ≤ 0.5, Right-tail

Which of the following hypothesis pairs correctly represents the statement: A majority of young adults spend more than 3.5 hours per day using a smartphone, and also correctly labels the claim and states the direction of the test?

• H0: μ ≤ 3.5 (Claim), H1: μ > 3.5, Right-tail

• H0: μ ≥ 3.5, H1: μ < 3.5 (Claim), Left-tail

• H0: μ = 3.5, H1: μ ≠ 3.5 (Claim), Two-tail

• H0: μ > 3.5 (Claim), H1: μ ≤ 3.5, Left-tail

Write a hypothesis pair using correct notation, label which hypothesis is the claim, and state the direction of the test as left-tail, right-tail, or two-tail for the following statement: The mean height of professional basketball players is at most 7 feet.

• H0: μ ≤ 7 (claim), H1: μ > 7, right-tail

• H0: μ ≥ 7, H1: μ < 7 (claim), left-tail

• H0: μ = 7, H1: μ ≠ 7 (claim), two-tail

• H0: μ ≤ 7, H1: μ > 7 (claim), left-tail

Write a hypothesis pair using correct notation, label which hypothesis is the claim, and state the direction of the test as left-tail, right-tail, or two-tail for the following statement: The proportion of drivers who admit to running red lights is greater than 0.49.

• H0: p ≤ 0.49 vs. H1: p > 0.49, where H1 is the claim, right-tail test

• H0: p ≥ 0.49 vs. H1: p < 0.49, where H1 is the claim, left-tail test

• H0: p = 0.49 vs. H1: p ≠ 0.49, where H1 is the claim, two-tail test

• H0: p > 0.49 vs. H1: p ≤ 0.49, where H0 is the claim, left-tail test

Which of the following represents the correct hypothesis pair, identifies the claim, and states the direction of the test for the statement: The proportion of drivers stopped by the police in a year is different from the 10.3% rate reported by the Department of Justice?

• H0: p = 0.103 (Claim), H1: p ≠ 0.103, Two-tail test

• H0: p > 0.103, H1: p = 0.103 (Claim), Right-tail test

• H0: p < 0.103, H1: p = 0.103 (Claim), Left-tail test

• H0: p = 0.103, H1: p > 0.103 (Claim), Right-tail test

Which of the following correctly represents the hypothesis pair, identifies the claim, and states the direction of the test for the statement: The mean annual income of workers who have studied statistics is greater than $45,750?

• H0: μ ≤ $45,750 vs. H1: μ > $45,750; Claim: H1; Test Direction: Right-tail

• H0: μ ≥ $45,750 vs. H1: μ < $45,750; Claim: H0; Test Direction: Left-tail

• H0: μ = $45,750 vs. H1: μ ≠ $45,750; Claim: H1; Test Direction: Two-tail

• H0: μ > $45,750 vs. H1: μ ≤ $45,750; Claim: H0; Test Direction: Left-tail

Which of the following correctly forms a hypothesis pair, labels the claim, and states the direction of the test for the statement: The mean IQ of statistics students is at least 110?

• H0: μ ≥ 110 (claim), H1: μ < 110, left-tail test

• H0: μ = 110, H1: μ ≠ 110 (claim), two-tail test

• H0: μ > 110, H1: μ ≤ 110 (claim), right-tail test

• H0: μ ≤ 110 (claim), H1: μ > 110, right-tail test

More than half of all internet users make online purchases. This is a right-tail test for population proportion. Which of the following correctly states the null hypothesis (H0) and the alternative hypothesis (H1) for this statement?

• H0: p ≤ 0.5, H1: p > 0.5

• H0: p ≥ 0.5, H1: p < 0.5

• H0: p = 0.5, H1: p ≠ 0.5

• H0: p > 0.5, H1: p ≤ 0.5

Less than 9% of Flint, MI residents have a lead concentration of 15 ppb or more. This is a left-tail test for population proportion. Write the null hypothesis (H0) and the alternative hypothesis (H1) for this statement.

• H0: p >= 0.09, H1: p < 0.09

• H0: p <= 0.09, H1: p > 0.09

• H0: p = 0.09, H1: p != 0.09

• H0: p > 0.09, H1: p <= 0.09