Among a simple random sample of 331 American adults who do not have a four-year
ID: 3040726 • Letter: A
Question
Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school.
A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement.
The test statistic is: (please round to two decimal places) The p-value associated with this hypothesis test is: (please round to four decimal places) What is the conclusion of the hypothesis test?
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.5
HA : p < 0.5
Hypothesis test results:
Hence,
Test statistic = - 0.73
p - Value = 0.2334
Conclusion: Since p - value is large, we do not reject Ho and conclude that there is not enough evidence to support the claim that only a minority of the Americans who decide not to go to college do so because they cannot afford it.
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 158.88 331 0.48 0.027482485 -0.72773622 0.2334Related Questions
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