Question

Researchers in plant growth are investigating the proportions of seedlings that sprout under two environmental settings in a lab experiment. Let pˆC represent the sample proportion of seedlings that sprout in garden C, and let pˆH represent the sample proportion of seedlings that sprout in garden H. For random samples of 100 garden C seedlings and 100 garden H seedlings, the sampling distribution of the difference between sample proportions pˆC−pˆH has σpˆC−pˆH≈0.051. Which of the following is the best interpretation of σPˆC−PˆH≈0.051 ?

Answer 1

The value of approximately 0.051 indicates the variability in the difference of proportions between garden C and garden H seedlings in the lab experiment.

Step-by-step explanation:

The symbol σpˆC−pˆH≈0.051 represents the standard deviation of the sampling distribution of the difference between sample proportions pˆC−pˆH in the lab experiment. The value of approximately 0.051 indicates that the difference in proportions between garden C and garden H seedlings is expected to vary by around 0.051 units. This standard deviation provides a measure of the variability in the results of the experiment.

Answer 2

E

Step-by-step explanation:

For all random samples of 100 garden C seedlings and 100 garden H seedlings, the average distance of all possible differences between sample proportions pˆC−pˆH from the mean of the sampling distribution is approximately 0.051.