**Answer:**

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 14.6% or not. So we need to use a one proportion z test and the system of hypothesis are:

Null hypothesis:

Alternative hypothesis:

A. One-proportion z-test

When we conduct a proportion test we need to use the z statisitc, and the is given by:

(1)

And the conditions required are:

1) The data comes from a random sampling

2) Independence condition between observations

3) np>10 and n(1-p)>10

4) The sample size is 10 times lower than the population size.

**Step-by-step explanation:**

**Data given and notation **

n=865 represent the random sample taken

X=159 represent the housing units that are vacant

estimated proportion of vacant units

is the value that we want to test

represent the significance level

z would represent the statistic (variable of interest)

represent the p value (variable of interest)

**Solution to the problem**

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 14.6% or not. So we need to use a one proportion z test and the system of hypothesis are:

Null hypothesis:

Alternative hypothesis:

A. One-proportion z-test

When we conduct a proportion test we need to use the z statisitc, and the is given by:

(1)

And the conditions required are:

1) The data comes from a random sampling

2) Independence condition between observations

3) np>10 and n(1-p)>10

4) The sample size is 10 times lower than the population size.