1. Consider testing HO: p=0.4 against Ha: p<0.4 Let X be the number of successes from a sample of size n=20 assuming the null hypothesis to be true. Let Xs5 be the rejection region of the test: a) If X follows binomial distribution, find the probability of typel error b) Calculate the probability of type Il error when p%3D0.3 and when p%3D0.2 A BId - =三 E E III !!

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1. Consider testing HO: p=0.4 against Ha: p<0.4
Let X be the number of successes from a sample of size 3D20 assuming the null hypothesis to
be true. Let X<5 be the rejection region of the test:
a) If X follows binomial distribution, find the probability of type l error
b) Calculate the probability of type Il error when p%-D0.3 and when p%3D0.2
A BI /-
三三
E E
Transcribed Image Text:Clear my choice 1. Consider testing HO: p=0.4 against Ha: p<0.4 Let X be the number of successes from a sample of size 3D20 assuming the null hypothesis to be true. Let X<5 be the rejection region of the test: a) If X follows binomial distribution, find the probability of type l error b) Calculate the probability of type Il error when p%-D0.3 and when p%3D0.2 A BI /- 三三 E E
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