Question

11% of all college students volunteer their time. Is the percentage of college students who are volunteers larger for students receiving financial aid? Of the 305 randomly selected students who receive financial aid, 43 of them volunteered their time. What can be concluded at the a = 0.05 level of significance? #5 PC Iry a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: HO: ?? (please enter a decimal) H: ?? (Please enter a decimal) Show Exp c. The test statistic ? = (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is ?va f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ...

Answer 1

a) z test for one proportion

b)

Ho :   p =    0.11
H1 :   p >   0.11

c)

Number of Items of Interest,   x =   43
Sample Size,   n =    305
      
Sample Proportion ,    p̂ = x/n =    0.1410
      
Standard Error ,    SE = √( p(1-p)/n ) =    0.0179
Z Test Statistic = ( p̂-p)/SE =    (0.141-0.11)/0.0179=   1.729

d) p-Value   =   0.0419

e) less than

f) reject

g) percentage of college students who are volunteers is larger