In 2011, a U.S. Census report determined that 56% of college students are working students. A researcher thinks this percentage has changed and surveys 162 college students. The researcher reports...

In 2011, a U.S. Census report determined that 56% of college students are working students. A researcher thinks this percentage has changed and surveys 162 college students. The researcher reports that 88 of the 162 are working students. Is there evidence to support the researcher's claim at the 1% significance level?

1. Determine the null and alternative hypotheses.
   
   
   H0: p=
   
   
   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.