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A sample of size n = 300 is taken from a population which may be classified...

A sample of size n = 300 is taken from a population which may be classified into 4 different categories. Let p k denote the proportion in the population who belong to category k, k = 1, . . . , 4. If the null hypothesis is:

H 0 : p1 = 0.2   p2 = 0.3    p3 = 0.1     p4 =?

and the observed counts are

n1 = 62   n2 = 96 n3 = 35     n4 =?

deduce the values of p 4 and n 4 and compute the χ 2 (chi-squared) test statistic.

math   Statistics-And-Probability   
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