# Write the null hypothesis and the alternative hypothesis for

#### Write the null hypothesis and the alternative hypothesis for the following statement. Label the one that is the claim being made. A special insulation will lower your heating bills by less than $78. asked Mar 17, 2013 ## 1 Answer +1 vote Best answer ##### The claim is average heating bill is less than \$ 78. In symbolic form it can be written as $\mu < \$78$. If$\mu < \$78$ is false, then $\mu \geq \$78$must be true. The null hypothesis is the statement which contains equality. Hence the null hypothesis be$H_0 : \mu \geq \$78$. And the alternative hypothesis be $H_a : \mu < \$78$. So the hypothesis testing problem be$H_0 : \mu \geq \$78$  against $H_a : \mu < \$78\$.
answered Mar 18, 2013 by (15,500 points)
selected Mar 18, 2013 by Sophiya
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