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Participating golf facilities receive an average of $2,400. According to a teaching professional at a golf club, the average increase in greens fees, lessons, or equipment purchases for participating in facilities exceeds $2,400.

a.

The null hypothesis is the assumed-true hypothesis, while the alternative hypothesis is the hypothesis that must be demonstrated with the data.

It is assumed that the mean of the gain is $2400, making it the null hypothesis. The researcher seeks to prove that the mean of the gain exceeds $2400, making it the alternative hypothesis.

i.e.

H₀ :渭₀ = $2400 againstH_a :渭 > $2400

b.

In the context of hypothesis testing, 伪 denotes the risk that will reject the null hypothesis when it is, in fact, true. In the context of this problem, in testing 0.05, there is a 5% risk that the researcher will decide that the mean gains are more significant than $2400 when they are not.

c.

For large sample tests, Z distribution can be used where

Z ~ N(0,1)

Let x be the critical value

Then,
P (Z> x) = 0.05

From the standard normal table,

x = 1.645

So, the critical region is

[x,鈭�) = [1.645,鈭� )

={x: Z 鈮� 1.645}