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WorksheetsHypothesis Testing for a Proportion
Total questions: 15
Worksheet time: 4hrs 45mins
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
Ha: p < 0.68
H0: p = 0.68
Ha: p ≠ 0.68
H0: p = 0.68
Ha: p > 0.68
H0: μ = 0.68
Ha: 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?
Which value is closest to the p-value?
0.02
0.04
0.06
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
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%?
Choose the correct hypotheses.
H0: p = 0.27
Ha: p > 0.27
H0: p = 0.27
Ha: p < 0.27
H0: p = 0.27
Ha: p ≠ 0.27
H0: p > 0.27
Ha: p = 0.27
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%?
Which is closest to the p-value?
0.0005
0.005
0.05
0.5
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
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?
Choose the correct hypotheses.
H0: p = 0.86
Ha: p < 0.86
H0: p = 0.86
Ha: p > 0.86
H0: p = 0.86
Ha: p ≠ 0.86
H0: p < 0.86
Ha: 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
