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eBook MATH ost ALEKS Carp B HW Ch 9 (2) section 9.3 Previous 2 3 45 6 7 8 9 10Ne

ID: 2909067 • Letter: E

Question

eBook MATH ost ALEKS Carp B HW Ch 9 (2) section 9.3 Previous 2 3 45 6 7 8 9 10Next Question 4 of 12 (1 point) View problem in a pop-up 9.3 Section Exercise 15 (critical value, table) 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 54 family practitioners in Los Angeles had mean earnings ofX = S192780 with a standard deviation ol $43,337. Do the data provide sufficient evidence to conclude that the mean salary for family practitioners in Los Angeles differs from the national average? Use thea = 0.05 level of significance and the critical value method with the table. Check Answer Solve It Guided Solution Show Example Ask My Instructor Link to Textbook Part 1 out of 5 State the appropriate null and alternate hypotheses. This hypothesis test is a right tailed est Save for Later Submit Assignment EXT

Explanation / Answer

Below are the null and alternate hypothesis
H0: mu = 178258
H1: mu not equals to 178258

This is two tailed

Test statistic,
z = (192780 - 178258)/(43337/sqrt(54))
z = 2.4624

p-value = 0.0138

As p-value is less than the significance level of 0.05, we reject the null hypothesis

This means there are sufficient evidence to conclude that the salary for family practitioners in Los Angeles differs from the national average.