Question

the value quantifies the probability of observing the collected data, or something more extreme, if the null hypothesis were true.
the statistical test that compares the means of two independent groups is called the.
the of the difference is used to calculate the test statistic in hypothesis testing.
statistical indicates that the result is unlikely to have occurred by chance alone, according to the pre - defined significance level.
the test is used to determine if there is a significant association between two categorical variables.

Explanation:

1. The p - value is a fundamental concept in hypothesis testing that quantifies the probability of observing the data or more extreme data under the null hypothesis.
2. The independent - samples t - test is specifically designed to compare the means of two independent groups.
3. The standard error of the difference is a key component in calculating the test statistic for many hypothesis tests.
4. Statistical significance is determined when the p - value is less than the pre - defined significance level, indicating the result is unlikely due to chance.
5. The chi - square test is used to assess the association between two categorical variables.

Answer:

1. p - value
2. independent - samples t - test
3. standard error
4. significance
5. chi - square