Question

For the following, Use the five-step approach to hypothesis testing found on page 8-16. It states. You can use excel to compute the data or you can do it by hand. The youtube videos provided in the links will walk you through the steps to complete the following problems.

1. State the hypothesis and identify the claim.

H0:

H1:

2. Find the critical value and determine what error level to use. For all the problems on this homework use an alpha level of .05 Determine if the test is right tailed, left tailed or non-directional.
3. Compute the test Value It will be a Chi Square
4. Make a decision to reject or fail to reject the null hypothesis.
5. Summarize the results

Problem #3 You are a researcher who wants to know if there is a significant difference in teenagers who show aggressive behavior after watching violent video games. You, as a researcher, observe both males and females to find observed behavior after watching violent video games. Behavior observed will include cursing, yelling, pushing, punching or any gestures that resemble a threat. After your observation, you collect the following data. Use a chi square to test your hypothesis. Use table G to find the critical value and region to help you make your decision to reject or fail to reject the HO: Remember to find the degrees of freedom Rows-1 times columns -1 Use an alpha of .05. Watch instructional to help you through the steps.

	Aggressive Behavior	Non-Aggressive Behavior
Males	59	21
Females	11	86

please solve with the same exact data given not any example or illustration

       

Answer 1

Researcher's claim: There is a significant difference in teenagers who show aggressive behavior after watching violent video games.

The null and alternative hypothesis are:

H₀: There is no significant difference in teenagers who show aggressive behavior after watching violent video games.

H₁: There is a significant difference in teenagers who show aggressive behavior after watching violent video games.

Critical value:

Degrees of freedom = (number of row categories - 1) *(number of column categories - 1) = (2 - 1) *(2 - 1) = 1

Alpha = level of significance = 0.05

The chi-square test is right tailed test.

The chi-square critical value using chi-square table with an area in right tail area 0.05 with degrees of freedom 1 is 3.841

Critical value = 3.841

Chi-square test statistics:

The formula of chi-square test statistics is,

Where O - Observed frequencies which are given in the table.

E - Expected frequency

The formula to find the expected frequency is,

The expected frequency for 59 is,

The expected frequency for 11 is,

The expected frequency for 21 is,

The expected frequency for 86 is,

Decision rule: If Chi-square critical value > chi-square test statistics then fail to reject the null hypothesis otherwise reject the null hypothesis.

Here chi-square critical value 3.841 is not greater than test statistics 71.426 so reject the null hypothesis.

Conclusion: Reject the null hypothesis, that is there is a significant difference in teenagers who show aggressive behavior after watching violent video games.