In: Statistics and Probability
2. The following report is a cross table of consumers' willingness to pay for different types of commodities. Please explain the difference in value of different types of commodities according to the content of the table.
| 
 value  | 
 df  | 
 p  | 
||||||||
| 
 Pearson χ2  | 
 749.50  | 
 9  | 
 .000  | 
|||||||
| 
 有效觀察值的個數  | 
 1274  | 
|||||||||
| 
 types of commodities  | 
 total  | 
|||||||||
| 
 A  | 
 B  | 
 C  | 
 D  | 
|||||||
| 
 Value of commodities  | 
 Less than 30  | 
 Number  | 
 311a  | 
 118b  | 
 146b  | 
 18c  | 
 593  | 
|||
| 
 Within the product type  | 
 95.4%  | 
 37.3%  | 
 46.2%  | 
 5.7%  | 
 46.5%  | 
|||||
| 
 31~60  | 
 Number  | 
 5a  | 
 151b  | 
 115c  | 
 82d  | 
 353  | 
||||
| 
 Within the product type  | 
 1.5%  | 
 47.8%  | 
 36.4%  | 
 25.9%  | 
 27.7%  | 
|||||
| 
 61~90  | 
 Number  | 
 5a  | 
 37b  | 
 34b  | 
 105c  | 
 181  | 
||||
| 
 Within the product type  | 
 1.5%  | 
 11.7%  | 
 10.8%  | 
 33.2%  | 
 14.2%  | 
|||||
| 
 90 or more  | 
 Number  | 
 5a  | 
 10a, b  | 
 21b  | 
 111c  | 
 147  | 
||||
| 
 Within the product type Number  | 
 1.5%  | 
 3.2%  | 
 6.6%  | 
 35.1%  | 
 11.5%  | 
|||||
| 
 total  | 
 326  | 
 316  | 
 316  | 
 316  | 
 1274  | 
|||||
| 
 Within the product type Number  | 
 100.0%  | 
 100.0%  | 
 100.0%  | 
 100.0%  | 
 100.0%  | 
|||||
ANSWER::
If the value of commodity A is less than 30 then 95.4% of people are willing to pay for it, for the commodity B this value is 37.3%, for the commodity C this value is 46.2%, and for the commodity D this value is only 5.7%. That means commodity A has the highest demand if its value is less than 30.
If the value of commodity A is between 31 and 60 then 1.5% of people are willing to pay for it, for the commodity B this value is 47.8%, for the commodity C this value is 36.4%, and for the commodity D this value is 25.9%. That means commodity B has the highest demand if its value is between 31 and 60.
If the value of commodity A is between 60 and 90 then 1.5% of people are willing to pay for it, for the commodity B this value is 11.7%, for the commodity C this value is 10.8%, and for the commodity D this value is 33.2%. That means commodity D has the highest demand if its value is between 60 and 90.
If the value of commodity A is 90 or more than 90 then 1.5% of people are willing to pay for it, for the commodity B this value is 3.2%, for the commodity C this value is 6.6%, and for the commodity D this value is 35.1%. That means commodity D has the highest demand if its value is more than 90.
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