QUESTION 5 An experiment consists of classifying five students for Vitamin experiment is O 625 status (Sufficient, Insufficient, Deficient, Severly Deficient) successively. The number e outcomes in this O 20 O 4 O 1024

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? Group of answer choices H0: 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 H0: p1 = p2 = p3 = 5/12, where p1, p2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively H0: p1 = 1/4, p2 = 1/4, and p3 = 5/12, where p1, p2, and p3 represent the proportions of all…

In an experiment with t = 4 population means and sample sizes of n1 = 5, n2 = 6, n3 = 4, and n4= 8, consider the four linear combinations of the sample means: ?̂1 = ?̅1 + 3?̅2 + ?̅3 + ?̅4?̂2 = ?̅1 + ?̅2 − 2?̅4?̂3 = ?̅1 + ?̅2 + ?̅3 + ?̅4?̂4 = ?̅1 + ?̅2 − 3?̅3 + ?̅4 a. Which of the four linear combinations are contrastsb. Which pairs of contrasts are orthogonal

From this: What type of test would this be? (t- test, z-test, etc) What hypothesis is reasonable?