according to the 2010 census, 15.5 % of all housing units in the united states were vacant. a county supervisor wonders if her county is different from this. she randomly selects 795 housing units in her county and finds that 150 of the housing units are vacant. what kind of test is this?



Answer :

In order to test if the supervisor's county is different from the United States average, she will perform a two tailed test.

Here we are given the following data-

number of observations in the sample n = 795

observed value x = 150

and proportion p = 0.155

We need to test whether proportion is different from 15.5 % or not.

Thus, we will do a two tailed test with hypothesis as follows -

Null hypothesis H₀ ⇒ p = 0.155

Alternate hypothesis Hₐ ⇒ p ≠ 0.155

Hence, in order to test if the supervisor's county is different from the United States average, she will perform a two tailed test.

Learn more about the t test here-

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