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In 2011, a U.S. Census report determined that 55% of college students are working students. A...

In 2011, a U.S. Census report determined that 55% of college students are working students. A researcher thinks this percentage has changed and surveys 194 college students. The researcher reports that 127 of the 194 are working students. Is there evidence to support the researcher's claim at the 1% significance level?

  1. Determine the null and alternative hypotheses.

    H0p=

    H1:p ? ≠ < >   (Select the correct symbol and enter the value.)
  2. Determine the test statistic. Round to two decimal places.

    z=
  3. Find the p−value. Round to four decimal places.

    p−value =
  4. Are the results statistically significant?
    • Fail to reject the null hypothesis.
    • Reject the null hypothesis.

  5. Write the conclusion.
    • There is not sufficient evidence to support the claim that the percentage of working college students has changed.
    • There is sufficient evidence to support the claim that the percentage of working college students has changed.
Math   Statistics-And-Probability   
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