Question

Asked Mar 19, 2019

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Step 1

**Test hypothesis:**

Denote the population proportion of bacteria that remains after a treatment as *P**.*

The investigator is interested to test whether the population proportion of bacteria that remains after a treatment is greater than 0.15 or not.

*The hypotheses are given below:*

*Null hypothesis:*

*H*_{0} : *P* ≤ 0.15

That is, the population proportion of bacteria that remains after a treatment is equal to 0.15.

*Alternative hypothesis:*

*H*_{1} : *P* > 0.15 (Right tail test).

That is, the population proportion of bacteria that remains after a treatment is greater than 0.15.

Step 2

**Given information:**

The test statistic value of the hypothesis test is *z *= 0.98.

The critical value for the hypothesis test is *z*_{α} = 2.326.

Step 3

**Decision rule:**

Denote *z *as test statistic value and *z*α as the critical value.

*Decision rule based on critical approach:*

If *z* > *z*α, then reject the null hypothesis* H*0.

If* z* &l...

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