Question

A random survey of 212 students asked each student to select the most preferred form of recreational activity from five choices. Here are the results of the survey: Softball (2) Tennis (5) Basketball (1) 31 Swimming (3) 19 Jogging (4) 22 Male 16 23 24 Female 21 16 13 27 Is there a relationship between gender and preferred sport? The hypotheses are Ho : gender and preferred sport are not independent vs Hj : gender and preferred sport are independent Vs OH : P1 = P2 = P3 = P4 = P5 Hi : all P1, P2, P3, P4, Ps are different none of the answers provided here . OH : the true average number of male student is not equal to the true average number of female student for at least one of sports Vs Hi : the true average number of male student is equal to the true average number of female student for each sport Ho : the true average number of male student is equal to the true average number of female student for each sport vs Hy : the true average number of male student is not equal to the true average number of female student for at least one of sports H: gender and preferred sport are independent vs Hi : gender and preferred sport are not independent O Ho : all P1, P2, P3, P4, P5 are different vs Hi : P1 = P2 = P3 = P4 = p5 = 1

Answer 1

Sol:

perform chi sq test for indpeendence

Ho:gender and preferred sport are independent

Ha::gender and preferred sport are not independent

alpha=0.05

perfrom chi sq test in Ti 83

Enter observed matrix:2nd x^-1 EDIT,1:[A] enter 2*5 enter data

perform chi sq test STAT>TESTS>CHI SQ TEST>CALCULATE

TEXAS INSTRUMENTS TI-83 Plus MATRIX[A] 3 x5 19 13 TEXAS INSTRUMENTS TI-83 Plus X2-Test X2=3. 114789867 P=.5388027142 df=4 2,5=24 FORMAT 3 CALC 11 TABLE STATPLOTFI CAC F TABLE FS ATPLOT FTSET 2 WINDOW TEISET 2 WINDOW RORMAT 3 ZOOM YE ZOOM TRACE GRAPH Y= TRACE GRAPH QUIT INS INS QUIT MODE 2nd DEL 0

From output

chi sq=3.1148

p=0.5388

p>0.05

Fail to reject Ho

Accept Ho

There is no relationship between gender and sport