7.1 Intro to Hypothesis Testing

Given H0: p ≥ 0.45, for which confidence interval should you reject H0?

(0.32, 0.40)

Given H0: μ ≤ 12, for which confidence interval should you reject H0?

(13, 16)

A brewery claims that the mean amount of beer in their bottles is at least 12 ounces. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

left-tailed

An elementary school claims that the standard deviation in reading scores of its fourth grade students is less than 3.45. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

left-tailed

Given H0: p ≥ 80% and Ha: p < 80%, determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

left-tailed

Given H0: p = 0.85 and α = 0.10, which level of confidence should you use to test the claim?

90%

Given H0: μ ≥ 23.5 and α = 0.05, which level of confidence should you use to test the claim?

90%

The mean IQ of statistics teachers is greater than 130. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

There is sufficient evidence to support the claim μ > 130.

The mean age of bus drivers in Chicago is greater than 58.3 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

There is sufficient evidence to support the claim μ > 58.3.

The statement represents a claim. Write its complement and state which is H0 and which is HA.μ = 9.3

H0: μ = 9.3 (claim); Ha: μ ≠ 9.3

The statement represents a claim. Write its complement and state which is H0 and which is HA.σ < 9.2

H0: σ ≥ 9.2; Ha: σ < 9.2 (claim)

The statement represents a claim. Write its complement and state which is H0 and which is HA.p ≤ 0.82

H0: p ≤ 0.82 (claim); Ha: p > 0.82

The mean score for all NBA games during a particular season was less than 104 points per game. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

There is sufficient evidence to support the claim μ < 104.

The mean age of bus drivers in Chicago is 50.6 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

There is not sufficient evidence to reject the claim μ = 50.6.

The dean of a major university claims that the mean time for students to earn a Master's degree is at most 4.3 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

There is not sufficient evidence to reject the claim μ ≤ 4.3.

A candidate for governor of a certain state claims to be favored by at least half of the voters. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

There is not sufficient evidence to reject the claim ρ ≥ 0.5

The mean score for all NBA games during a particular season was less than 95 points per game. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

There is not sufficient evidence to support the claim μ < 95.

The mean IQ of statistics teachers is greater than 110. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

There is not sufficient evidence to support the claim μ > 110.

The mean age of bus drivers in Chicago is greater than 47.4 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

There is not sufficient evidence to support the claim μ > 47.4.

The mean age of bus drivers in Chicago is 48.7 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

There is sufficient evidence to reject the claim μ = 48.7

The dean of a major university claims that the mean time for students to earn a Master's degree is at most 3.2 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

There is sufficient evidence to reject the claim μ ≤ 3.2

A candidate for governor of a certain state claims to be favored by at least half of the voters. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

There is sufficient evidence to reject the claim ρ ≥ 0.5.

A car maker claims that its new sub-compact car gets better than 52 miles per gallon on the highway. Determine whether the hypothesis test for this is left-tailed, right-tailed, or two-tailed.

right-tailed

Given H0: μ ≤ 25 and Ha: μ > 25, determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

right-tailed

The owner of a professional basketball team claims that the mean attendance at games is over 15,000 and therefore the team needs a new arena. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

right-tailed

A researcher claims that 65% of voters favor gun control. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

two-tailed