Hi, I am trying to teach myself how to test hypotheses for any distribution, but am having some trouble.(adsbygoogle = window.adsbygoogle || []).push({});

X=number chosen each year

θ=Mean number chosen in the population

H0: θ=.5

h1: θ>.5

The random sample of n=4 is 0,1,3,3

Test the Hypotheses at α≤0.05 assuming X is a binomial(5,θ/5).

This is what I have so far, but I feel I am completely missing something..

Sample average (Xbar = 1.75

So,

Reject H0 if P(Xbar≥1.75, given that X is binomial(5,.1)) ≤ 0.05

Then I figure out 1-P(Xbar≤1.75)=0.08146 which is greater than 0.05 so I reject the null.

I know something is not right... Any help would be much appreciated. Thanks!

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# Test Hypotheses with sample of Binomial RV's

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