16. Below are a subset of data from a workplace safety survey. Using a .01 level of significance, determine whether these samples of women and men have significantly different levels of safety knowledge.Use these samples to answer questions 16-20.

Men Women

4 7

6 5

7 6

3 7

NOTE:#16-20 assume you are doing an independent-samples t-test to answer this question. However, if you prefer to use an ANOVA,you are allowed to do so.Simplyleave the answers to 16-20blank(you'll temporarily get a0for them),and instead answer each question using an ANOVA when showing your written work to perform the 5hypothesis testing steps with an ANOVA.After your uploaded work is graded, we can substitute the correct number of points you earned for these questions.

Which of the following correctly represents the null and alternative hypothesis (MUST SHOW WORK FOR THIS PROBLEM)?

a. H₀: menmen<< womenwomen

H₁: menmen womenwomen

b. H₀: menmen>> womenwomen

H₁: menmen womenwomen

c. H₀: menmen- womenwomen 0

H₁: menmen- womenwomen == 0

d. H₀: menmen- womenwomen == 0

H₁: menmen- womenwomen 0

17. Which of the followingrepresents the propercritical region(MUST SHOW WORK FOR THIS PROBLEM).

a. tcrit=tcrit= 3.35

b. tcrit=tcrit=3.71

c. tcrit=tcrit=3.50

d. tcrit=tcrit=1.96

18. Compute the test statistic(t-obs)(MUST SHOW WORK FOR THIS PROBLEM).

19. Based on the calculated test statistic,would you reject the null hypothesis established in question 16(MUST SHOW WORK FOR THIS PROBLEM)?

a. yes

b. no

20. Based on the previously conducted steps,we canconcludethat(MUST SHOW WORK FOR THIS PROBLEM):

a. Men know more about safety than women

b. There is no statistically significant difference in safety knowledge between men and women

c. There is a statistically significant difference in safety knowledge between men and women

d. Women know more about safetythan men