The makers of Compute-All know that in the past, 40 % of their sales were from p
ID: 3251450 • Letter: T
Question
The makers of Compute-All know that in the past, 40 % of their sales were from people under 30 years old, 45% of their sales were from people who are between 30 and 50 years old, and 15% of their sales were from people who are over 50 years old. A sample of 300 customers was taken to see if the market shares had changed. In the sample, 100 of the people were under 30 years old, 150 people were between 30 and 50 years old, and 50 people were over 50 years old. a. State the null and alternative hypotheses to be tested. b. Compute the test statistic. c. The null hypothesis is to be tested at the 1% level of significance. Determine the critical value from the table. d. What do you conclude?Explanation / Answer
a)null hypothesis: market share is same as shown in the past.
alternative hypothesis : market share has changed over period.
b)
from above test stat chi square =5.5556
c) critical value =9.210
d) as test stat is lower then test stat ; we can not reject null hypothesis that market share is distributed among age groups as in old data
observed Expected Chi square age Probability O E=total*p =(O-E)^2/E >30 0.4000 100.000 120.00 3.33 30-50 0.4500 150.000 135.00 1.67 <50 0.1500 50.000 45.00 0.56 1 300 300 5.5556Related Questions
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