(a) A newspaper article states that only a minority of the Armericans 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 hypotheses for this test are: O Ho: p = .5 Ha: p > .5 O Ho: p = .5 Ha: p .5 Ho: p = .5 Ha: p < .5 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? O Since p 2 a we do not have enough evidence to reject the null hypothesis O Since p

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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6.16 Is college worth it? Part I: Among a simple random sample of 331 American adults who do rat 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) 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 staternent.
The hypotheses for this test are:
O Ho: p = .5
На: р > .5
O Ho: p = .5
Ha: p .5
Ho: p = .5
%3D
Ha: p
На: р < .5
The test statistic is:
(please round to two decimat places) The p-value
associated with this hypothesis test is:
(please round to four decimal
places) What is the conclusion of the hypothesis test?
O Since p 2 a we do not have enough evidence to reject the null hypothesis
O Since p<a we fail to reject the null hypothesis
O Since p 2 a we reject the null hypothesis and accept the alternative
O Since p<a we reject the null hypothesis and accept the alternative
O Since p 2 a we accept the null hypothesis
Interpret the result of the test in the context of this study and article:
O The data provide sufficient evidence to claim that only a minority of Americans who choose not to go
to college do so because they cannot afford it
O The data do not provide sufficient evidence to claim that only a minority of Americans who choose
not to go to college do so because they cannot afford it
(b) Would you expect a confidence interval for the proportion of American adults who decide not to go to
college because they cannot afford it to include 0,5
Oyes
no
Transcribed Image Text:6.16 Is college worth it? Part I: Among a simple random sample of 331 American adults who do rat 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) 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 staternent. The hypotheses for this test are: O Ho: p = .5 На: р > .5 O Ho: p = .5 Ha: p .5 Ho: p = .5 %3D Ha: p На: р < .5 The test statistic is: (please round to two decimat places) The p-value associated with this hypothesis test is: (please round to four decimal places) What is the conclusion of the hypothesis test? O Since p 2 a we do not have enough evidence to reject the null hypothesis O Since p<a we fail to reject the null hypothesis O Since p 2 a we reject the null hypothesis and accept the alternative O Since p<a we reject the null hypothesis and accept the alternative O Since p 2 a we accept the null hypothesis Interpret the result of the test in the context of this study and article: O The data provide sufficient evidence to claim that only a minority of Americans who choose not to go to college do so because they cannot afford it O The data do not provide sufficient evidence to claim that only a minority of Americans who choose not to go to college do so because they cannot afford it (b) Would you expect a confidence interval for the proportion of American adults who decide not to go to college because they cannot afford it to include 0,5 Oyes no
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