An important statistic that the Bureau of Labor Statistics (BLS) tracks is the percentage of Americans between the ages of 25 and 54 who are currently working. Suppose a random sample of 100 men in this age group as selected and it was found that 83 were currently working. A similar sample of 100 women was selected and it was discovered that 70 were working.

a. Using α = 0.05, can we conclude that the proportion of men in this age group who are working differs from the proportion of women who are working?

b. Determine the p-value for the chi-square test statistic using Excel and interpret its meaning.

c. Confirm your results using PH_Stat.