Question

A gardener wants to know if soaking seeds in water before planting them increases the proportion of seeds that germinate. To investigate, the gardener will assign 50 seeds to be soaked before planting and 50 seeds to be planted without being soaked. After two weeks, the gardener will record how many seeds in each group germinated and construct a 95 percent confidence interval for the difference in proportions. Which of the following conditions for inference should be met?

The seeds should be randomly assigned to a treatment.
The group sizes should be less than 10 percent of the population sizes.
The number of successful seeds and unsuccessful seeds in each group should be at least 10.

I only

1 only
A

II only

2 only
B

III only

3 only
C

I and III only

1 and 3 only
D

I, II, and III

Answer 1

The conditions for inference that should be met in this experiment are: random assignment and at least 10 successful and unsuccessful seeds in each group.

Step-by-step explanation:

The conditions for inference that should be met in this experiment are:

1. The seeds should be randomly assigned to a treatment.
2. The number of successful seeds and unsuccessful seeds in each group should be at least 10.

Therefore, the correct answer is III only (3 only).

Answer 2

I and III Only

Step-by-step explanation:

The second condition only applies in a sample, but we are looking at an experiment, so it is irrelevant. The first and third conditions apply to all two-sample z-intervals, so these are correct.