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,

(f) Interpret the decision in the context of the original claim. If convenient, use technology.

Transcribed Image Text:

Years of full-time teaching experience Gender Male Female Less than 3 years 143 328 3-9 years 349 825 10-20 years 279 673 20 years or more 279 624