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Solved: Finding Critical Values Table A-7 lists critical
Chapter 13, Problem 22 BB(choose chapter or problem)
Problem 22BB
Finding Critical Values Table A-7 lists critical values for limited choices of a. Use Table A-l to add a new column in Table A-7 (from n = 1 to n = 8) that represents a significance level of 0.03 in one tail or 0.06 in two tails. For any particular n, use p = 0.5, because the sign test requires the assumption that P(positive sign) = P(negative sign) = 0.5. The probability of x or fewer like signs is the sum of the probabilities for values up to and including x.
Questions & Answers
QUESTION:
Problem 22BB
Finding Critical Values Table A-7 lists critical values for limited choices of a. Use Table A-l to add a new column in Table A-7 (from n = 1 to n = 8) that represents a significance level of 0.03 in one tail or 0.06 in two tails. For any particular n, use p = 0.5, because the sign test requires the assumption that P(positive sign) = P(negative sign) = 0.5. The probability of x or fewer like signs is the sum of the probabilities for values up to and including x.
ANSWER:Solution 22BB
Take n = 8, p = 0.5 and X ~ B(8, 0.5).
Then,P(X )
0.03. From the binomial table, at n = 8,
P(X 0) = 0.004
P(X 1) = 0.035
So the value of c is 0 since P(X 0) = 0.004 < 0.035 .
Therefore, critical value c = 0 at n = 8
The complete column, that should be added in Sign test table (from n = 1 to n = 8), is shown below.
