I need you to show all steps ( form A- Z) including formulas as well as calculat

Question

I need you to show all steps ( form A- Z) including formulas as well as calculations ( Do not copy paste from web) I found one on chegg but it is wrong

At a recent meeting of educational researchers comparison were made between the type of college freshmen attend and the numbers who drop out. A random sample of freshmen show the following results: (keep two decimals in calculating expected frequencies)

              4Yr public      4Yr private     2Yr public     2Yr private

drop out      10                  9                     15          9

don't drop    26         28                   18                   27

Use a significance level of .05 and determine if the type of school and the drop out rate are independent. You have to show your calculated test statistic

Explanation / Answer

Null HYpothesis : H0 : Drop Out rate is independent of Type of school students enrolled in.

Alternative Hypothesis : Ha : Drop Out rate is dependent of Type of school students enrolled in.

Significance leval alpha = 0.05

The observed Table

Expected Table

The observed values are calculated by following manner

For drop OUt and 4 Yr public Exxpected value = Total Number of Drop OUt * Total NUmber of 4 Yr public/ Total number of students = 36 * 43/142 = 10.90

Fo DOon' drop and 2 Yr Public expected value = Total Number of Don't Drop * Total NUmber of 2 Yr public/ Total number of students = 33* 99/142 = 23.01

NOw CHi - square table

X2 = sum of (Oi - Ei )2 / Ei

where Oi = Observed Value

Ei = Expected Value

SO X2 = 4.80

dF = (4 -1 ) * (2-1) = 3 and alpha = 0.05

so X2 critical = 7.815

so X2 < X2 critical so we cannot reject the null hypothesis and can claim that Drop Out rate is independent of Type of school students enrolled in.

4 Yr Public 4 YR Private 2 Yr Public 2 Yr Private sum Drop Out 10 9 15 9 43 Don't Drop 26 28 18 27 99 Total 36 37 33 36 142

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---