In a recent year, 73% of first-year college students responding to a national survey identified "being very well-off financially" as an important personal goal. A state university finds that 132 of an SRS of 200 of its first-year students say that this goal is important. Which of the following steps contains an error in the test to see if these data provide convincing evidence at the a = 0.05 significance level that the proportion of all first-year students at this university who think being very well-off is important differs from the national value of 73%? The test statistic and P-value are z = 0.66-0.73 0.73(0.27) 200 =-2.23, P-value = 0.0258 For a one-sample z test for p. Random: We have an SRS of 200 first-year students. 10%: The sample size (200) is less than 10% of first-year students at this university. Large Counts: npo = 200(0.66) = 132 > 10 and n(1 Po) 200(0.34) = 68 >10. The conclusion states that because the P-value of 0.0258

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In a recent year, 73% of first-year college students responding to a national survey identified "being very well-off financially" as
an important personal goal. A state university finds that 132 of an SRS of 200 of its first-year students say that this goal is
important.
Which of the following steps contains an error in the test to see if these data provide convincing evidence at the a = 0.05
significance level that the proportion of all first-year students at this university who think being very well-off is important
differs from the national value of 73%?
The test statistic and P-value are z =
0.66-0.73
0.73(0.27)
200
=-2.23, P-value = 0.0258
For a one-sample z test for p. Random: We have an SRS of 200 first-year students. 10%: The sample size (200) is less
than 10% of first-year students at this university. Large Counts: npo = 200(0.66) = 132 > 10 and
n(1 - Po) = 200(0.34) = 68 > 10.
The conclusion states that because the P-value of 0.0258 <a = 0.05, we reject Ho. We have convincing evidence that
the proportion of first-year students at this university who think that being very well-off financially is an important goal
is different from 0.73.
None of the steps are incorrect.
The hypotheses are: Ho: p = 0.73; H₁ p 0.73, where p = the true proportion of first-year students at this university
who think being very well-off financially is an important personal goal using a = 0.05.
Transcribed Image Text:In a recent year, 73% of first-year college students responding to a national survey identified "being very well-off financially" as an important personal goal. A state university finds that 132 of an SRS of 200 of its first-year students say that this goal is important. Which of the following steps contains an error in the test to see if these data provide convincing evidence at the a = 0.05 significance level that the proportion of all first-year students at this university who think being very well-off is important differs from the national value of 73%? The test statistic and P-value are z = 0.66-0.73 0.73(0.27) 200 =-2.23, P-value = 0.0258 For a one-sample z test for p. Random: We have an SRS of 200 first-year students. 10%: The sample size (200) is less than 10% of first-year students at this university. Large Counts: npo = 200(0.66) = 132 > 10 and n(1 - Po) = 200(0.34) = 68 > 10. The conclusion states that because the P-value of 0.0258 <a = 0.05, we reject Ho. We have convincing evidence that the proportion of first-year students at this university who think that being very well-off financially is an important goal is different from 0.73. None of the steps are incorrect. The hypotheses are: Ho: p = 0.73; H₁ p 0.73, where p = the true proportion of first-year students at this university who think being very well-off financially is an important personal goal using a = 0.05.
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