According to an article in a recently published medical journal, one-third of all sets of triplets consist of all females, one-fourth are all male sets, and the remaining sets are of mixed gender. A simple random sample of 78 sets of triplets born in the past 20 years is obtained from hospital records. The results are presented below. Gender make-up of triplets 1: All female 2: All male 3: Mixed gender Total 10 11 57 78 What would be the null hypothesis for a chi-square test for testing if the claim made in the medical journal is indeed true? ○ Ho: P1 = P2=P3 = 5/12, where P₁, P2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively = Ho: P1= 1/3, P2: 1/4, and p3= 5/12, where p1, P2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively Ho: P1= 1/4, P2 1/4, and p3 = 5/12, where p₁, P2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively.

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According to an article in a recently published medical journal, one-third of all sets of triplets consist of all
females, one-fourth are all male sets, and the remaining sets are of mixed gender. A simple random sample of 78
sets of triplets born in the past 20 years is obtained from hospital records. The results are presented below.
Gender make-up of triplets
1: All female
2: All male
3: Mixed gender Total
10
11
57
78
What would be the null hypothesis for a chi-square test for testing if the claim made in the medical journal is
indeed true?
Ho: P1 = P2 = P3 = 5/12, where P₁, P2, and p3 represent the proportions of all female, all male, and mixed
gender triplets, respectively
Ho: P₁ = 1/3, P2 = 1/4, and p3 = 5/12, where p₁, P2, and p3 represent the proportions of all female, all male,
and mixed gender triplets, respectively
Ho: P1 1/4, P2
1/4, and p3 = 5/12, where p₁, P2, and p3 represent the proportions of all female, all male,
and mixed gender triplets, respectively.
Transcribed Image Text:According to an article in a recently published medical journal, one-third of all sets of triplets consist of all females, one-fourth are all male sets, and the remaining sets are of mixed gender. A simple random sample of 78 sets of triplets born in the past 20 years is obtained from hospital records. The results are presented below. Gender make-up of triplets 1: All female 2: All male 3: Mixed gender Total 10 11 57 78 What would be the null hypothesis for a chi-square test for testing if the claim made in the medical journal is indeed true? Ho: P1 = P2 = P3 = 5/12, where P₁, P2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively Ho: P₁ = 1/3, P2 = 1/4, and p3 = 5/12, where p₁, P2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively Ho: P1 1/4, P2 1/4, and p3 = 5/12, where p₁, P2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively.
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