A sample of 150 items was rated with respect to price and qu

A sample of 150 items was rated with respect to price and quality as follows A survey of 100 people in the Kitchener area revealed them being female and 40 fully employed people Construct a contingency table and determine the probability random will be either a fully employed person or a female? An analyst is interested in the proposition that different age groups of following age music they prefer. A sample of 100 people was selected from groups.\' under 25, 26 to 45. 46 and over. Their preferences surveyed, The results are as follows: Can we conclude there is a relationship between age and type of music preferred. Examine using the 5 step procedure at the .05 level. A candidate standing for or winning. She wants to tae the 95 history of elections. Define the sample size selected for the pilot poll. of students on a statistics exam are normally distributed with a meat 10. The examination board decide to place the top the \'.indents in t bade A, the next 20 percent in Grade D, the next 40 peae the next 20 percent... Grade D, and the bottom 10 percent m Grade F

Solution

1.

Doing an Expected Value Chart,          
          

          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    32.58839184      
          
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,          
          
a =    3      
b =    3      
          
df =    4      
          
Thus, the critical value is          
          
significance level =    0.05      
          
chi^2(critical) =    9.487729037      
          
Also, the p value is          
          
P =    1.45018*10^-6      
          
As chi^2 > 9.4877, and P < 0.05, we   REJECT THE NULL HYPOTHESIS.      
          
Thus, there is significant evidence that price and quality are not independent. [CONCLUSION]

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8.866667	14.93333	11.2
17.48	29.44	22.08
11.65333	19.62667	14.72