Let X have a binomial distribution with the number of trials n = 10 andwith p either 1/4 or 1/2. The simple hypothesis H0 : p = 12 is rejected, and thealternative simple hypothesis H1 : p = 14 is accepted, if the observed value of X1, arandom sample of size 1, is less than or equal to 3. Find the significance level andthe power of the test.

Let X have a binomial distribution with the number of trials n = 10 andwith p either 1/4 or 1/2. The simple hypothesis H0 : p = 12 is rejected, and thealternative simple hypothesis H1 : p = 14 is accepted, if the observed value of X1, arandom sample of size 1, is less than or equal to 3. Find the significance level andthe power of the test.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Let X have a binomial distribution with the number of trials n = 10 and
with p either 1/4 or 1/2. The simple hypothesis H0 : p = 1
2 is rejected, and the
alternative simple hypothesis H1 : p = 1
4 is accepted, if the observed value of X1, a
random sample of size 1, is less than or equal to 3. Find the significance level and
the power of the test.

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