Question

is there a doctor in the house? a market research firm reported the mean annual earnings of all family practitioners in the united states was $178,258. a random sample of 49 family practitioners in los angeles had mean earnings of \\( \overline { x } = \\$ 191,950 \\) with a standard deviation of \\( \\$ 41,937 \\). do the data provide sufficient evidence to conclude that the mean salary for family practitioners in los angeles differs from the national average? use the \\( \alpha = 0.10 \\) level of significance and the p - value method with the ti - 84 plus calculator.
part: 0 / 5
part 1 of 5
(a) state the appropriate null and alternate hypotheses.
\\( h _ { 0 } : \square \\)
\\( h _ { 1 } : \square \\)
this hypothesis test is a select \\( \vee \\) test.

Explanation:

Step1: Identify the type of hypothesis test

We are testing if the mean salary of family - practitioners in Los Angeles differs from the national average. This is a two - tailed test.

Step2: State the null and alternative hypotheses

The null hypothesis \(H_0\) is that the mean is equal to the national average. The alternative hypothesis \(H_1\) is that the mean is not equal to the national average.

Answer:

\(H_0:\mu = 178238\), \(H_1:\mu
eq178238\)