Question

5 pts Another survey was conducted among 100 female students about their perceptions of Wayne State University and 100 male students about their perceptions of Wayne State University. On a Likert scale of 1-10, the mean attitudes toward the university is 5.5 among the female students, 6.5 among the male students; with a standard deviation of 3 and 4 respectively. Are the two groups statistically significantly different than each other in their evaluations? Please use a critical value approach, and calculate the observed z-score: Z - S.2.5 X1 - X2 Sx, X2 S -x Vn72 Question 64 What is your null hvnothesis for this testa MacBook Air

Answer 1

Hypothesis

H0 : There is no statistically significant difference between the two groups(female-group1 and male-group2)

Ha : There is a statistically significant difference between the two groups(female-group1 and male-group2)

$\bar{x1} = 5.5 \quad \bar{x2} = 6.5$

$s1 = 3 \quad s2 = 4$

$n1 = 100 \quad n2 = 100$

Test statistic

$z = \frac{\bar{x1}-\bar{x2}}{\sqrt{\frac{s_1^2}{n1}+\frac{s_2^2}{n2}}} = -2$

Two-tailed test

= 0,05

zcritical = 1.96

Since, $\left | z \right | > z_{critial}$

We reject the null hypothesis.

Conclusion:

There is a statistically significant difference between the two groups(female-group1 and male-group2)