Question

1. The Better Business Bureau (BBB) wants to determine whether a certain business is engaging in fair hiring practices. The BBB finds that a local business employs 66 men and 34 women. The general population of workers in this industry is 60% men and 40% women. Conduct a chi-square goodness-of-fit test at the alpha = .05 significance level.
   1. Write the null and alternative hypotheses
   2. Using the chisq.test function in R, calculate the tests statistic and p-value
   3. Make a decision about each null hypotheses using the p-value approach.
   4. Write a conclusion in APA format.

Answer 1

a.

Null hypothesis H0: The proportion of employed men and women are 60% and 40%, respectively.

Alternative hypothesis H0: At least one of the proportions in the null hypothesis is false.

b.

Run the below command in bold to get the test statstic and p-value

> x <- c(66,34)
> p <- c(60,40)

> chisq.test(x, p = p, rescale.p = TRUE)

   Chi-squared test for given probabilities

data: x
X-squared = 1.5, df = 1, p-value = 0.2207

Test statistic X-squared = 1.5

p-value = 0.2207

c.

Since, p-value is greater than 0.05 significance level, we fail to reject null hypothesis H0.

d.

Since we fail to reject null hypothesis H0, we conclude that there is no strong evidence that the proportion of employed men and women is not 60% and 40% respectively.