Proportion Hypothesis Testing

A study found that 68% of the population owns a home. In a random sample of 150 households, 92 owned a home. At the α = 0.01 level, is there enough evidence to reject the claim?

Choose the correct hypotheses.

• H₀: p = 0.68

  H_a: p < 0.68

• H₀: p = 0.68

  H_a: p ≠ 0.68

• H₀: p = 0.68

  H_a: p > 0.68

• H₀: μ = 0.68

  H_a: μ ≠ 0.68

A study found that 68% of the population owns a home. In a random sample of 150 households, 92 owned a home. At the α = 0.01 level, is there enough evidence to reject the claim?

Which value is closest to the p-value?

• 0.02

• 0.04

• 0.06

• 0.08

The percentage of female physicians is 27%. In a survey of physicians, 45 of the 120 were women. Is there sufficient evidence at the α = 0.01 to claim that the proportion of women physicians is greater than 27%? Find the z-score.

• z = -2.59

• z = -0.005

• z = 2.59

• z = 0.005

The percentage of female physicians is 27%. In a survey of physicians, 45 of the 120 were women. Is there sufficient evidence at the α = 0.01 to claim that the proportion of women physicians is greater than 27%? What is the correct conclusion?

• Fail to reject the null hypothesis

• Reject the null hypothesis

On average, 86% of all enrolled college students are undergraduates. A random sample of 500 college students revealed that 420 were undergraduates. At α = 0.10 level, is there enough evidence to conclude that the proportion is lower than the national average? Choose the correct hypotheses.

• H₀: p = 0.86

  H_a: p < 0.86

• H₀: p = 0.86

  H_a: p > 0.86

• H₀: p = 0.86

  H_a: p ≠ 0.86

• H₀: p < 0.86

  H_a: p = 0.86

On average, 86% of all enrolled college students are undergraduates. A random sample of 500 college students revealed that 420 were undergraduates. At α = 0.10 level, is there enough evidence to conclude that the proportion is lower than the national average? Find the z-score.

• z = 1.29

• z = 0.09

• z = -1.29

• z = -0.09

On average, 86% of all enrolled college students are undergraduates. A random sample of 500 college students revealed that 420 were undergraduates. At α = 0.10 level, is there enough evidence to conclude that the proportion is lower than the national average? Which is closest to the p-value?

• 0.0099

• 0.00099

• 0.99

• 0.099

On average, 86% of all enrolled college students are undergraduates. A random sample of 500 college students revealed that 420 were undergraduates. At α = 0.10 level, is there enough evidence to conclude that the proportion is lower than the national average? What is the correct conclusion?

• Fail to reject the null hypothesis

• Reject the null hypothesis

On average, 86% of all enrolled college students are undergraduates. A random sample of 500 college students revealed that 420 were undergraduates. At α = 0.10 level, is there enough evidence to conclude that the proportion is lower than the national average?

• There is not enough evidence to conclude that the proportion is lower than the national average

• There is enough evidence to conclude that the proportion is lower than the national average

In 1975, a random sample of 1484 adult U.S. citizens was surveyed, and 193 strongly agreed with the statement, "People should take care of themselves". Then, in 1991, a survey of 1013 adult U.S. citizens showed that only 61 strongly agreed with the statement. Does this indicate that the proportion of U.S.adults who strongly agree with the given statement has dropped?

• Two-Sample Z Test for the Difference in Proportions

• Two-Sample T Test for the Difference in Means

• Matched Pairs T Test for a Mean

• One-Sample T Test for a Mean