Question

our next step is to choose a test statistic based on our alternative hypothesis in question 2.2. which of the following options are valid choices for the test statistic? assign ab test stat to an array of integers corresponding to valid choices. assume averages and totals are taken over the total precipitation sums for each year.

Answer 1

The valid choices for the test statistic are:

1. The difference between the total precipitation in drought years and the total precipitation in other years.
2. The absolute difference between the total precipitation in other years and the total precipitation in drought years.
3. The difference between the average precipitation in drought years and the average precipitation in other years.
4. The absolute difference between the average precipitation in other years and the average precipitation in drought years.

The test statistic is a measure used to assess the strength of evidence in support of the alternative hypothesis. In this question, we need to determine the valid choices for the test statistic based on the alternative hypothesis.

Let's go through each option and determine if it is a valid choice for the test statistic:

1. The difference between the total precipitation in drought years and the total precipitation in other years: This is a valid choice because it compares the total precipitation between two different groups (drought years and other years) and provides a measure of the difference.

2. The difference between the total precipitation in other years and the total precipitation in drought years: This is also a valid choice because it is similar to the previous option, but with the groups reversed. It still compares the total precipitation between two different groups.

3. The absolute difference between the total precipitation in other years and the total precipitation in drought years: This is a valid choice as well because it considers the absolute difference, which means it takes into account the magnitude of the difference between the two groups.

4. The difference between the average precipitation in drought years and the average precipitation in other years: This is a valid choice because it compares the average precipitation between the two groups, providing a measure of the difference in averages.

5. The difference between the average precipitation in other years and the average precipitation in drought years: This is also a valid choice because it is similar to the previous option, but with the groups reversed. It still compares the average precipitation between the two groups.

6. The absolute difference between the average precipitation in other years and the average precipitation in drought years: This is a valid choice as well because it considers the absolute difference between the average precipitation of the two groups.

Therefore, the valid choices for the test statistic are:

- The difference between the total precipitation in drought years and the total precipitation in other years.
- The difference between the total precipitation in other years and the total precipitation in drought years.
- The absolute difference between the total precipitation in other years and the total precipitation in drought years.
- The difference between the average precipitation in drought years and the average precipitation in other years.
- The difference between the average precipitation in other years and the average precipitation in drought years.
- The absolute difference between the average precipitation in other years and the average precipitation in drought years.

These choices provide various measures to compare the precipitation between different groups and assess the evidence for the alternative hypothesis.

Complete question:

Our next step is to choose a test statistic based on our alternative hypothesis in Question 2.2. Which of the following options are valid choices for the test statistic? Assign ab_test_stat to an array of integers corresponding to valid choices. Assume averages and totals are taken over the total precipitation sums for each year. The difference between the total precipitation in drought years and the total precipitation in other years. The difference between the total precipitation in others years and the total precipitation in drought years. The absolute difference between the total precipitation in others years and the total precipitation in drought years. The difference between the average precipitation in drought years and the average precipitation in other years. The difference between the average precipitation in others years and the average precipitation in drought years. The absolute difference between the average precipitation in others years and the average precipitation in drought years.

Answer 2

The array of integers corresponding to valid choices for the test statistic (ab_test_stat) is ab_test_stat = [1, 2, 3, 4]

How did we arrive at this assertion?

To choose a valid test statistic based on the alternative hypothesis, let's consider the nature of the hypotheses and the question. If the alternative hypothesis is concerned with a difference, we should focus on options that involve the difference between two groups (drought years and other years). Considering this, the relevant options for the test statistic are:

1. The difference between the total precipitation in drought years and the total precipitation in other years.

2. The absolute difference between the total precipitation in others years and the total precipitation in drought years.

3. The difference between the average precipitation in drought years and the average precipitation in other years.

4. The absolute difference between the average precipitation in others years and the average precipitation in drought years.

Therefore, the array of integers corresponding to valid choices for the test statistic (ab_test_stat) is ab_test_stat = [1, 2, 3, 4]

These options all involve a difference or absolute difference between the total or average precipitation in drought years and other years, aligning with the nature of the hypotheses in Question 2.2.

Complete question:

Our next step is to choose a test statistic based on our alternative hypothesis in Question 2.2. Which of the following options are valid choices for the test statistic? Assign ab_test_stat to an array of integers corresponding to valid choices. Assume averages and totals are taken over the total precipitation sums for each year. The difference between the total precipitation in drought years and the total precipitation in other years. The difference between the total precipitation in others years and the total precipitation in drought years. The absolute difference between the total precipitation in others years and the total precipitation in drought years. The difference between the average precipitation in drought years and the average precipitation in other years. The difference between the average precipitation in others years and the average precipitation in drought years. The absolute difference between the average precipitation in others years and the average precipitation in drought years.