Question

In: Statistics and Probability

2. The following report is a cross table of consumers' willingness to pay for different types...

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%

Solutions

Expert Solution

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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