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Case #1 An Analysis of Golfers in the United States (25 marks)

How many golfers are there in the United States? A survey of American adults (age 18 and above) asked each whether they had played golf at least once a month during the summer. The responses were 2 = yes and 1 = no. The survey also asked respondents to indicate which of the following household income category they fell into:

1. Under $15,000

2. $15,000 to $24,999

3. $25,000 to $34,999

4. $35,000 to $49,999

5. $50,000 to $75,000

6. Over $75,000

The latest census reveals that the number of American households in each of the income categories is as follows:

1. 75.7 million

2. 36.9 million

3. 28.3 million

4. 27.8 million

5. 21.9 million

6. 17.1 million

(Source: Statistical Abstract of the United States, 2006, Tables 685 and 1238)

*The data file is posted on the website ‘Assignment 2 Data file.xls’.

Required: An analysis of the data

1. Estimate with 95% confidence the total number of golfers.

2. Estimate with 95% confidence the number of golfers who earn at least $75,000.

these are two questions i need to do ..

and what i have done are as follow:

ase #1 An Analysis of Golfers in the United States

1. Estimate with 95% confidence the total number of golfers.

Total Sample n=1116

Golfers from sample 177 16%(0.16)

= Golfers from sample/Total Sample=177/1116=16%

Standard deviation= = =0.01097

=0.16 0.01097*1.96=0.16 0.0215

the 95% confidence the total number of golfers is

179+ or -24

2. Estimate with 95% confidence the number of golfers who earn at least $75,000.

Total Sample n=1116

the number of golfers who earn at least $75,000 is 68 6.1%(0.061)

= Golfers from sample/Total Sample=68/1116=0.061

Standard deviation= =0.00716

=0.061 0.00716*1.96=0.061 0.014

the 95% confidence the total number of golfers who earn at least $75,000 is

69+ or -16

Case 2 Quebec Separation? Oui ou Non

If the referendum were held on the day of the survey, would Quebec vote to remain in Canada? (α=5%)

The total number of Quebecers is 641

The number of Quebecers who would vote Quebec to separate from Canada and become an independent country is 296

The number of Quebecers who would not vote Quebec to separate from Canada and become an independent country is 345

=number of Quebecers who would not vote Quebec to separate from Canada and become an independent country/Total number of Quebecers=345/641=0.538

Standard deviation= =0.01969

=0.538 1.96*0.01969=0.538 0.0386

the 95% confidence Quebecers vote Quebec to remain in Canada is

345+ or -25