Question

A nearby park is comprised of 15% pine, 20% elm, 30% alder and 35% cedar. In the spring, the surrounding city is flooded with pollen. You wonder whether these four tree species contribute proportionally to the total pollen count.

Using air traps, you collect pollen samples. After mixing them, you separate out 1000 pollen granules and identify them by species. Here are the data:

pine	211
elm	148
alder	299
cedar	342

The question of interest is whether the tree species contribute proportionally to pollen count.

Step 2: State the null hypothesis.

Step 3: State the alternative hypothesis.

Step 4: What is the correct level of alpha?

Step 5: Which statistical test are you using?

Step 6: What is the value of the test statistic?

Step 6 continued: How many degrees of freedom in this test?

Step 7: What is the critical value for the test statistic?

Step 8: How does the test statistic compare to the critical value?

Step 9: Based on this comparison, do you accept or reject your null hypothesis?

Step 10: What do you conclude from this analysis?

Answer 1