To find the correct relative frequencies, let’s calculate each entry in the two-way table as a percentage of the respective row totals. This way, we can determine the conditional relative frequencies of snowmobile use by environmental club membership status.

Here’s the breakdown of the table:

Table Data:

• Total individuals surveyed: 1526
• Environmental club membership breakdown:
  • Not members (No): 1221
  • Members (Yes): 305

Calculations for Each Category:

1. Snowmobile Owner (No Environmental Club):

   • Frequency = 279
   • Total in the "No" column = 1221
   • $\frac{279}{1221} \approx 0.2284$ or 22.8%

2. Snowmobile Owner (Yes Environmental Club):

   • Frequency = 16
   • Total in the "Yes" column = 305
   • $\frac{16}{305} \approx 0.0525$ or 5.3%

3. Snowmobile Renter (No Environmental Club):

   • Frequency = 497
   • Total in the "No" column = 1221
   • $\frac{497}{1221} \approx 0.4070$ or 40.7%

4. Snowmobile Renter (Yes Environmental Club):

   • Frequency = 77
   • Total in the "Yes" column = 305
   • $\frac{77}{305} \approx 0.2525$ or 25.3%

5. Never Used Snowmobile (No Environmental Club):

   • Frequency = 445
   • Total in the "No" column = 1221
   • $\frac{445}{1221} \approx 0.3644$ or 36.4%

6. Never Used Snowmobile (Yes Environmental Club):

   • Frequency = 212
   • Total in the "Yes" column = 305
   • $\frac{212}{305} \approx 0.6951$ or 69.5%

Summary Table with Correct Percentages:

Would you like more details, or do you have any questions on how these calculations were done?

Related Questions:

1. How would these percentages change if more members of the environmental club used snowmobiles?
2. What do these percentages tell us about the relationship between environmental club membership and snowmobile use?
3. Can you interpret the overall trend of snowmobile use for environmental club members compared to non-members?
4. How might this data impact policy decisions regarding snowmobile use in national parks?
5. What other types of visual representations could display this data effectively?

Tip:

When calculating percentages, double-check that you are dividing by the correct row or column total for conditional frequencies!