Many studies have found a relationship between eating breakfast and academic per

Question

Many studies have found a relationship between eating breakfast and academic performance in children. You want to test this using a random sample of students at a nearby middle school. You asked each student in your sample, ''Did you eath breakfast this morning" and you observed whether the child was (mostly) paying attention during the math lesson that day. The data are provided below. a. Conduct the appropriate chi-square test to address the question posed above. b. Can we use this data to determine whether eating or not eating breakfast affects a child's ability to concentrate on a math lesson?

Explanation / Answer

Chi sq test

:

Null hypothesis:

Ho:eating or not eating breakfast does not affect a child ability to concentrate on a math lesson

Alternative Hypothesis:

H1:eating or not eating breakfast t affect a child ability to concentrate on a math lesson

alpha=0.05

calculate expected frequencies and calculate chi sq test statistic

The p-value is .034391. This result is significant at p < .05

Accept alternative hypothesis

There is sufficient evidnce at 5% level of significance to conclude that eating or not eating braekd=fats affects a childs ability to concentrate on a math lesson

Expected fre=ROWTOTAL*COLUMNTOTAL/GRANDTOTAL E(1,1)) =41*27/61 18.14754098 E(1,2)) =20*34/61 22.85245902 E(2,1) =20*27/61 8.852459016 E(2,2) =20*34/61 11.14754098 O E O-E (O-E)^2 (O-E)^2/E 22 18.14754 3.852459016 14.84144047 0.817821 19 22.85246 -3.852459016 14.84144047 0.649446 5 8.852459 -3.852459016 14.84144047 1.676533 15 11.14754 3.852459016 14.84144047 1.331365 CHISQ TEST STATISTIC 4.475165

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