Question

A random survey of members of the Mohonk Preserve, a facility that serves outdoor enthusiasts, was taken and data was taken on their preferred activity along with their identified gender. Results are here. Hiking Male Female 30 33 Biking 15 15 20 12 rock climbing Find the value your test statistic would need to be above in order that you would reject the null hypothesis, as stated In the prior question, at the 5% significance level. (Answer should be to 3 decimal places.)

Answer 1

Number of rows = 3

Number of columns = 2

Degrees of freedom = (3 – 1)(2 – 1) = 2

Significance level, α = 0.05

Critical value, χ^{​​​​​​2}(0.05,2) = 5.9914 ≈ 5.991

The value of your test statistic would need to be above in order that you would reject the null hypothesis = 5.991