Which of the following Python methods is used to perform a paired t-test for the difference in two population means? Select one.

Question 2 options:

ttest_rel from scipy module

ttest_ind from scipy module

proportions_ztest from statsmodels module

paired_ttest from scipy module

The null and alternative hypotheses for a hypothesis test of the difference in two population means are:

Null Hypothesis:

Alternative Hypothesis:

Notice that the alternative hypothesis is a one-tailed test. Suppose ttest_ind method from scipy module is used to perform the test and the output is (3.25, 0.0043). What is the P-value for this hypothesis test? Select one.

Question 3 options:

0.0043

-3.25

0.00215

3.25

Which of the following Python methods is used to perform an unpaired t-test for the difference in two population means? Select one.

Question 4 options:

ttest_ind from scipy module

paired_ttest from scipy module

proportions_ztest from statsmodels module

The null and alternative hypotheses for a hypothesis test of the difference in two population proportions are:

Null Hypothesis:

Alternative Hypothesis:

Notice that the alternative hypothesis is a one-tailed test. Suppose proportions_ztest method from statsmodels is used to perform the test and the output is (1.13, 0.263). What is the P-value for this hypothesis test? Select one.

Question 5 options:

0.263

0.1315

1.13

-1.13