Question

The Bobs want to know if Apple computers are better than Microsoft. Corporations using the Bobs consulting agency are surveyed for their employees’ use of Apple versus Microsoft computers and their level of productivity. The data is summarized below. Use α = .01.

** I need to see work for FULL points. Please show your work on scrap paper!!**

Productivity	Apple	Microsoft	Total
Bad	66	23	89
Average	62	74	136
Great	71	15	86
Total	199	112	311

What is your decision?

Reject the Null

Fail to Reject the Null

What is your interpretation of the finding (i.e. the conclusion)?

Answer 1

Chi-Square Test
	Observed Frequencies
	Apple	Microsoft					Total
Bad	66	23					89
Average	62	74					136
Great	71	15					86
Total	199	112					311
	Expected frequency of a cell = sum of row*sum of column / total sum
	Expected Frequencies
	Apple	Microsoft					Total
Bad	199*89/311=56.949	112*89/311=32.051					89
Average	199*136/311=87.023	112*136/311=48.977					136
Great	199*86/311=55.029	112*86/311=30.971					86
Total	199	112					311
	(fo-fe)^2/fe
Bad	1.4386	2.5562
Average	7.1950	12.7840
Great	4.6353	8.2359					0.7416

Chi-Square Test Statistic,χ² = Σ(fo-fe)^2/fe =   36.845  
      
Level of Significance =   0.01  
Number of Rows =   3  
Number of Columns =   2  
Degrees of Freedom=(#row - 1)(#column -1) = (3- 1 ) * ( 2- 1 ) =   2  
      
p-Value =   0.0000   
Decision:    p-value < α , Reject Ho  

decision: reject the null

conclusion: there is enough evidence to conlcude that Apple computers are better than Microsoft