20% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 326 randomly selected students who...

20% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 326 randomly selected students who receive financial aid, 46 of them volunteered their time. What can be concluded at the αα = 0.05 level of significance? Z- test for a population proportion

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1. The test statistic z=    __?__(please show your answer to 3 decimal places.)

1. The p-value =  __?__(Please show your answer to 4 decimal places.)

1. Thus, the final conclusion is that ...
   
   
   

   
   
   • a. The data suggest the population proportion is notsignificantly lower than 20% at αα = 0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 20%.
   
   
   • b. The data suggest the population proportion is notsignificantly lower than 20% at αα = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 20%.
   
   
   • c.   The data suggest the populaton proportion issignificantly lower than 20% at αα = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 20%.