Question to test your Performing Hypothesis Tests: Proportions knowledge

Question

A wildlife research group surveyed a sample of individuals about their experiences with birdwatching. Participants were asked whether they had ever seen a rare bird in the wild. The results are shown in the table below:

Test the claim that gender is independent of having seen a rare bird using a $0.01$ significance level. Does the conclusion change if the significance level is instead $0.05$ ?

Accepted Answer

There is insufficient evidence to support the claim that gender and rare bird sightings are not independent at both the 0.010.01 and 0.050.05 significance levels because the χ2\$$chi^2$$ statistic is less than both critical values

Answer

There is insufficient evidence to support the claim that gender and rare bird sightings are not dependent at the 0.010.01 significance level but independent at the 0.050.05 significance because the χ2\$$chi^2$$ statistic is higher than the 0.010.01 critical value but lower than the 0.050.05 critical value

Answer

There is sufficient evidence to support the claim that gender and rare bird sightings are dependent at both the 0.010.01 and 0.050.05 significance levels because the χ2\$$chi^2$$ statistic is greater than both critical values

Answer

There is insufficient evidence to support the claim that gender and rare bird sightings are not independent at the 0.010.01 level but dependent at the 0.050.05 significance level because the χ2\$$chi^2$$ statistic is less than the 0.010.01 critical value but greater than the 0.050.05 critical value

Performing Hypothesis Tests: Proportions: Videos & Practice Problems