Proportions Hypothesis Testing

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%?

• There is not enough evidence to support the claim that the proportion of women physicians is greater than 27%

• There is enough evidence to support the claim that the proportion of women physicians is greater than 27%

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

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? Find the z-score.

• z = -1.75

• z = 1.75

• z = -0.08

• z = 0.08

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? What is the correct conclusion?

• Fail to reject the null hypothesis

• Reject the null hypothesis

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?

• There is not enough evidence to reject the claim that 68% of the population owns a home

• There is enough evidence to reject the claim that 68% of the population owns a home

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

Sally reads a newspaper report claiming that 12% of all adults in the U.S. are left-handed. She decides to test this claim. Sally selects a random sample of 55 classmates and finds that 9 were left-handed. Does this provide sufficient evidence that the proportion of lefties in Sally’s school is different than the national figure? Use α = 0.01. Which is the correct conclusion for this test?

• Snice p-value = 0.319 < 0.01, I reject H0. There is enough evidence to suggest a difference.

• Snice p-value = 0.319 > 0.01, I reject H0. There is enough evidence to suggest a difference.

• Snice p-value = 0.319 > 0.01, I fail to reject H0. There is not enough evidence to suggest a difference.

• Snice p-value = 0.319 < 0.01, I fail to reject H0. There is enough evidence to suggest a difference.