Question

You have been asked to determine at both the 5% and 10% levels of significance whether the proportion of the population of students that is receiving at least $15,000 in financial aid is less than 45%. You select a random sample of students from the population. The sample data concerning whether the selected student is receiving at least $15,000 in financial aid is shown below. Answer the question posed above at each of the stated levels of significance based upon the sample data given in appendix two. If you arrive at different results for the two different parts of this problem, provide a reason for that difference.

Student is receiving at least $15,000 of financial aid? (Y = yes, N = no)

Y         N         N         Y         N         Y         N         N         N         N         N          N         N         N         N         Y         N         N         Y         N         N         N          N         N         N         Y         N         N         Y         N         Y         N         Y N         N         Y         N         Y

Answer 1

ANSWER Sample size = 38 people said they receve at least- $ 15,000 in financial aid u Chee) hull and allesnative Hypothesis Ho. Po =0.45 Hi. Pot 0.45 -1.89 VPo (186) 38 Test Statistica e opo 0.2985 -0.45 jo 45c1015) 6 - 11 0.2985 Critical value for 5% (2) Ze=-1.64 -1.989 LZCE164) 38 Hence we regect Ho at 51. level of significance hence Students who are getting atleast $15,000 is inancial aid iglese than 45%. at 101 (2) Z=-1.28 -1.989 <Zc Hence Ho is rejecled. Thus me there is shough evidence to support Claim that students who are getting at least $ 15000 is financial aid is less than 45%. CS Scanned with CamScanner