Question

, apply the t-test to assess the following statement: "Men and women have different incomes in this city." Show your calculations and copy of the SPSS output in a Word document. In a separate 250-500 Word document, address the following questions: Describe what t-test is the most appropriate and explain why. Discuss whether you used a one-tailed or two-tailed test and explain why. Using SPSS, calculate the t-test and provide the test statistic and critical value assuming an alpha of .05. Calculate the effect size using r2. Interpret the results by (a) stating the reason the study or test was done, (b) presenting the main results, (c) explaining what the results mean, and (d) making suggestions for future research

Annual_Income*
51000
23000
35000
10000
28000
5000
46000
36000
51000
12000
78000
34000
15000
28000
28000
24000
55000
62000
32000
7000
17000
64000
5000
14000
20000
72000
85000
15000
64000
27000

Sex

Female

Male

Female

Male

Female

Female

Female

Male

Female

Male

Female

Male

Female

Male

Male

Male

Female

Male

Male

Female

Female

Female

Male

Male

Female

Male

Female

Female

Male

Male

.

Answer 1

The hypothesis being tested is:

H0: µ1 = µ2

H1: µ1 ≠ µ2

This is a t-test for independent samples because we do not know the population standard deviation and the groups are independent of each other.

The SPSS output is:

The test statistic is 0.801.

The p-value is 0.430.

The critical value is 2.05.

Since the p-value (0.430) is greater than the significance level (0.05), we cannot reject the null hypothesis.

Therefore, we cannot conclude that men and women have different incomes in this city.

The effect size using r2 = 0.8012/0.8012 + 28 = 0.022

This is small effect.

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