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Chapter 9: Q. 26 (page 538)

It is thought that 42%of respondents in a taste test would prefer Brand A. In a particular test of 100people, 39% preferred Brand A. What distribution should you use to perform a hypothesis test?

Short Answer

Expert verified

The distribution use to perform hypothesis test isN(0.39,0.39(1-0.39)/100)

Step by step solution

01

Hypothesis test.

Hypothesis testing can be a orm of statistical reasoning that involves drawing conclusions from a couple of population parameters or probability distribution using data from a sample.

First, a supposition about the parameter or distribution is

02

Find the distribution use within the hypothesis test.

We're observing one population fraction, and also the test distribution is normal. That's to say,

Np,p(1-p)n

The population parameter has the value p. p'is that the expected value for p.

We know that in during a n=100person test, p'=39%=0.39people favored A, hence the distribution within the test is

N0.39,0.39(1-0.39)100

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