Question

1. A researcher is interested in the relationship between breast feeding and otitis media in the first year of life. A prospective study is done on 703 mothers. Subjects are evaluated and followed through their child’s first year. The results are shown in the following table.

   1. What is the conclusion of the hypothesis that otitis media is the same for breast feeding children and children that do not breast feed test if you reject when p ≤ 0.05?

   2. What is the probability of Type I error in the above question if you reject when p ≤ 0.05 (and the null hypothesis is true)?

   3. Based on this hypothesis test, which children (breast-feeding yes or breast-feeding no) have more frequent rates of otitis media?

   4. How does decreasing the α level affect the probability of Type I error? How does decreasing the α level affect the probability of Type II error? Explain your answers.

Otitis Media Total Breast Feeding No Yes 317 Yes 197 386 No 185 201 703 Total 382 321

Answer 1

Sol4+tHon'- Nuil hu perthe d- The ld digniticant diff bln the -lwo breabt feediny "Table ort cnpected -frequency:- 321 X317 382X317 144.74 317 J03 172-25 703 3২।xং 382X 386 - 176.25 386 703 20974 703 703 321 382 Calculation of à - Coi-ei) ? Ei oi 197 612.56 |न२.२5 3.55 |२० G1R:56 |५५१ऽ 4.23 185 612156 209.75 2.92 176-25 3.44 201 G12.56 Fo3 703 14117 Coi-ei) calculatedx= 14.17 '= 14:17 ei or (z-1) (2-1) = 4 it5/ Tabuate value st le vel ot ogni fi cance l8 3.84 Since Calluloted > tabula ted x hence we reject the null by porthedid Cro), Theue id noSigniticant ditfuence b/w them. Type-4error!- reJect (Ho)when if io true It the null nypotheóis Ho ro true butIt rejeettd by cs Scanned with ted proce duPk then error made io Called Ty pe - A error.

Type-a error!- Accept (Ho) when it 1ð wrong le.) accept CHo) when (Hp) is true, If the nuu hypothedis io falde but it io accepted called test. then ithe, .error comitted to to co by Type -II crror, Cor) cS Scanned with CamScanner B error,
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