Question

# 19% of all college students volunteer their time. Is the percentage of college students who are...

19% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 348 randomly selected students who receive financial aid, 63 of them volunteered their time. What can be concluded at the α α = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H 0 : H0: (please enter a decimal) H 1 : H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α α Based on this, we should the null hypothesis.

Solution :

This is the left tailed test .

The null and alternative hypothesis is

H0 : p = 0.19

Ha : p < 0.19

= x / n = 63 / 348 = 0.1810

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

= 0.1810 - 0.19 / [(0.19 * 0.81) / 348]

= -0.426

P-value = 0.3349

= 0.01

P-value >

Fail to reject the null hypothesis .