The contingency table shows the results of a random sample of public elementary and secondary school teachers by gender and years of full-time teaching experience. At α = 0.01, can you conclude that gender is related to the years of full-time teaching experience?

(a) Find the expected frequency for each cell in the contingency table,

(b) Identify the claim and state H₀ and H_a, 

(c) Determine the degrees of freedom, find the critical value, and identify the rejection region, 

(d) Find the chi-square test statistic, 

(e) Decide whether to reject or fail to reject the null hypothesis, and 

(f ) Interpret the decision in the context of the original claim.

Years of full-time teaching experience Gender Less than 3 years 102 216 3-9 years 339 825 10-20 years 20 years or more 207 533 402 Male Female 876