suppose that we randomly sample 112 high school students to investigate an association between involvement in extracurricular activities and grades. we use the data to conduct a chi-square test of independence at the 5% level. in this results table, the observed count appears above the expected count in each cell. what can we conclude?

Respuesta :

The conclusion regarding the test of the hypothesis is given as follows:

1 - There is a statistically significant association between involvement in extracurricular activities and grades.

What are the hypothesis tested?

There are two hypothesis, the null hypothesis and the alternative hypothesis, and they are presented as follows:

  • Null hypothesis: not enough evidence to conclude that there is a statistically significant association between involvement in extracurricular activities and grades.
  • Alternative hypothesis: Enough evidence to conclude that there is a statistically significant association between involvement in extracurricular activities and grades.

What is the conclusion?

The p-value of the test is given as follows:

0.0457.

The p-value is less than the significance level of 0.05, meaning that the null hypothesis is rejected, and there is enough evidence to conclude that there is a statistically significant association between involvement in extracurricular activities and grades.

Thus option 1 is correct.

Missing Information

The p-value of the test is given by:

0.0457.

The options are given as follows:

1-There is a statistically significant association between involvement in extracurricular activities and grades.

2-There is not a statistically significant association between involvement in extracurricular activities and grades.

3-Involvement in extracurricular activities helps students to perform better academically.

4-Nothing, because the conditions for use of the chi-square test are not met.

More can be learned about the test of an hypothesis at https://brainly.com/question/13873630

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