Cost of Building a Home According to the National Association of Home Builders, the average cost of building a home in the Northeast is \( \$ 117.91 \) per square foot. A random sample of 35 new homes indicated that the mean cost was \( \$ 120.97 \) and the population standard deviation was \( \$ 18 \). Can it be concluded that the mean cost differs from \( \$ 117.91 \), using the 0.01 level of significance? Assume that the variable is normally distributed. Use the \( P \)-value method with tables.
Part: 0 / 5
Part 1 of 5
(a) State the hypotheses and identify the claim with the correct hypothesis.
\[
\begin{array}{l}
H_{0}: \square(\text { Choose one }) \nabla \\
H_{1}: \square(\text { Choose one }) \nabla
\end{array}
\]