Conduct a chi-square analysis to determine whether sex and the year in college a

Question

Conduct a chi-square analysis to determine whether sex and the year in college are related. Report your results in APA format and write one to two sentences interpreting your results.

Some help writing a short, APA-formatted interpretation of the results.

Tabulated Statistics: Sex, Year in College

Rows: Sex     Columns: Year in College

freshman,

junior

senior

sophomore

All

F

0

0

10

10

20

M

10

10

0

0

20

All

10

10

10

10

40

Cell Contents:

Count

Chi-Square Test

Chi-Square

DF

P-Value

Pearson

40.00

3

<0.0001

Likelihood Ratio

55.45

3

<0.0001

Rows: Sex     Columns: Year in College

freshman,

junior

senior

sophomore

All

F

0

0

10

10

20

M

10

10

0

0

20

All

10

10

10

10

40

Cell Contents:

Count

Explanation / Answer

chi-square=sum((O-E)2/E)=40 with (r-1)(c-1)=(4-1)(2-1)=3 df

since p-value is less than alpha=0.05, we fail to accept there is no relationship betwee sex and year.

so we conclude that there is relationship between year and sex at 5% level of significance

freshman junior senior sophomore all F 0 0 10 10 20 M 10 10 0 0 20 all 10 10 10 10 40 Expected(E) Observed(O) (O-E) (O-E)2/E E(0)= 20*10/40= 5 0 -5 5 E(0) 20*10/40= 5 0 -5 5 E(10) 20*10/40= 5 10 5 5 E(10) 20*10/40= 5 10 5 5 E(10) 20*10/40= 5 10 5 5 E(10) 20*10/40= 5 10 5 5 E(0) 20*10/40= 5 0 -5 5 E(0) 20*10/40= 5 0 -5 5 sum= 40 40 0 40

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