Question

Is college worth it? Among a simple random sample of 349 American adults who do not have a four-year college degree and are not currently enrolled in school, 134 said they decided not to go to college because they could not afford school.

NOTE: While performing the calculations, do not used rounded values. For instance, when calculating a p-value from a test statistic, do not use a rounded value of the test statistic to calculate the p-value. Preserve all the decimal places at each step.

Enter at least 4 decimal places for each answer in WeBWorK.

1. 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. What are the correct hypotheses for conducting a hypothesis test to determine if these data provide strong evidence supporting this statement?

A. ?0:?=0.5H0:p=0.5, ??:?>0.5HA:p>0.5
B. ?0:?=0.5H0:p=0.5, ??:?<0.5HA:p<0.5
C. ?0:?=0.5H0:p=0.5, ??:?≠0.5HA:p≠0.5

2. Choose and calculate the test statistic for this hypothesis test.  z, t, X^2, or F  =

3. Calculate the p-value for this hypothesis test.

4. Based on the p-value, we have:
A. strong evidence
B. some evidence
C. extremely strong evidence
D. little evidence
E. very strong evidence
that the null model is not a good fit for our observed data.

Answer 1

4. Based on p value

option (C) correct Answer

extremely strong evidence