The owner of a mail-order catalog would like to compare her sales with the geographic distribution of the population. According to the U.S. Bureau of the Census, 21% of the population lives in the Northeast, 24% in the Midwest, 35% in the South, and 20% in the West. Listed below is a breakdown of a sample of 400 orders randomly selected from those shipped last month. RegionFrequencyNortheast 68 Midwest 104 South 155 West 73 Total 400 a. State the decision rule. Use the 0.01 significance level. (Round your answer to 3 decimal places.) H0: πne = 0.21, πm = 0.24, πs = 0.35, and πw = 0.20 H1: The distribution is not as given. b. Complete the following table. (Round (fo - fe)2/fe to 4 decimal places. Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign. Round χ2 to 4 decimal places.) a. State the decision rule. Use the 0.01 significance level. (Round your answer to 3 decimal places.)Ho: Ine = 0.21, Mm = 0.24, ts = 0.35, and w = 0.20H7: The distribution is not as given.Reject Ho if chi-squareb. Complete the following table. (Round (fo - fe)

a) The null hypothesis will be rejected if the sample test statistic χ2stat is greater than the…

Answered: The owner of a mail-order catalog would…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The owner of a mail-order catalog would like to compare her sales with the geographic distribution of the population. According to the U.S. Bureau of the Census, 21% of the population lives in the Northeast, 24% in the Midwest, 35% in the South, and 20% in the West. Listed below is a breakdown of a sample of 400 orders randomly selected from those shipped last month.

Region	Frequency
Northeast		68
Midwest		104
South		155
West		73
Total		400

a. State the decision rule. Use the 0.01 significance level. (Round your answer to 3 decimal places.)

H₀: π_ne = 0.21, π_m = 0.24, π_s = 0.35, and π_w = 0.20

H₁: The distribution is not as given.

b. Complete the following table. (Round (fo - f_e)²/f_e to 4 decimal places. Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign. Round χ² to 4 decimal places.)