Chapter 1.1, Problem 25E

To determine

To find:whether the given data provide evidence of an association between environmental club membership and snowmobile

Answer to Problem 25E

Around 70% of environment club members are those have never used the snowmobile only around 5% of Environment club members are snow mobile owners. But around 41% of Environment club non-members are snowmobile renters

Explanation of Solution

Given:

	Environmental clubs
	No	Yes	total
Never used	445	212	657
Snowmobile renter	497	77	574
Snowmobile owner	279	16	295
Total	1221	305	1526

Calculation:

Conditional distribution of use of now mobile by winter visitors to Yellowstone national park to environment club members is below:

Conditional distribution of snow mobile use of environmental club members
Snow mobile use	Member of environment club	percentage
Never used	212	$\frac{212}{305}\times 100$	69.5
Snowmobile renter	77	$\frac{77}{305}\times 100$	25.3
Snowmobile owner	16	$\frac{16}{305}\times 100$	5.2
total	305		100

Conditional distribution of use of snow mobile by winter visitors to Yellowstone National park to environment club non-members is below.

Conditional distribution of snow mobile use of environmental club Non-members
Snow mobile use	Non Member of environment club	percentage
Never used	445	$\frac{445}{1221}\times 100$	36.4
Snowmobile renter	497	$\frac{497}{1221}\times 100$	40.7
Snowmobile owner	279	$\frac{279}{1221}\times 100$	22.9
total	1221		100

The comparative table of conditional distribution is below:

Conditional distribution of snow mobile use of environmental club members and Non-members
Snow mobile use	Environment club members	Non Member of environment club	percentage
Never used	$\frac{212}{305}\times 100$	69.5%	$\frac{445}{1221}\times 100$	36.4%
Snowmobile renter	$\frac{77}{305}\times 100$	25.3%	$\frac{497}{1221}\times 100$	40.7%
Snowmobile owner	$\frac{16}{305}\times 100$	5.2%	$\frac{279}{1221}\times 100$	22.9%
total		100%		100%

Step III-Do: we will make a side-by-side bar graph to compare the opinions of environmental club members and non-members:

  

Step IV-CONCLUDE: Thus, Around 70% of environment club members are those have never used the snowmobile (69.5% vs 36.4) and only around 5% of Environment club members are snow mobile owners (5.2% vs 22.9%). But around 41% of Environment club non-members are snowmobile renters (25.3% vs 40.7%).

Conclusion:Therefore, Around 70% of environment club members are those have never used the snowmobile only around 5% of Environment club members are snow mobile owners. But around 41% of Environment club non-members are snowmobile renters