Question

please show all steps and work

2. Is there a statistically significant difference in the number of boys and girls participating in the soccer program at a local school? Use hand calculations. (Salkind) Critical value - 3.84. Boys n 45 Girls n 55

Answer 1

We test this with chi-square goodness of fit test Null hypothesis: True proportions in all 2 categories is equal to their claimed value Alternative hypothesis: Atleast one proportions is different from its claimed value Ho : p1 = 0.5, p2 = 0.5 Ha : Atleast one pi do not match the claimed value Expected Observed (O) (E mp) Expected # (O-E)2 fraction (p) 0.5 0.5 0.5 0.5 45 50 50 Test statistic: X21 Significance level 0.05 Degrees of freedom ,df-k-1 1 Critical value:-3.84 Decision Rule: Reject Ho if x2 > 3.84 Since test statistic is not greater than critical value , we fail to reject) null hypothesis. At 5% level, there is NOT significant evidence that atleast one of the proportions differs from its claimed value There is no statistically significant difference in the number of boys and girls participating in the soccer program @seoThank ,youJ0户