# The sign test can be extended to a test of hypotheses about an arbitrary quantile of a

## Question:

a. Let b be an arbitrary number. Explain how to construct a version of the sign test for the hypotheses

H0: θp = b,

H1: θp ≠ b,

at level of significance α0. (Construct an equal-tailed test if you wish.)

b. Show how to use this version of the sign test to form a coefficient 1− α0 confidence interval for θp. Distribution

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**Related Book For**

## Probability And Statistics

**ISBN:** 9780321500465

4th Edition

**Authors:** Morris H. DeGroot, Mark J. Schervish