# If it given that the proportion of homes with fire extinguishers is .80, what is the null hypothesis and alternative hypothesis?

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justaguide | Certified Educator

It is given that the proportion of homes with fire extinguishers is 0.8

If a large number of homes are randomly selected it is found that 0.8 of the homes have a fire extinguisher or the mean number of homes with a fire extinguisher is `mu` = 0.8

The null hypothesis refers to the criterion that is being assumed to be true.

In the problem, the null hypothesis is `H_0` : `mu` = 0.8

The alternative hypothesis refers to the case where the null hypothesis is not true.

Here, the alternative hypothesis would be `H_1` : `mu != 0.8`

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