A researcher claims that the distribution of the lengths of visits at physician offices is different from the distribution shown in the pie chart. You randomly select 400 people and ask them how long their office visits with a physician were. The table shows the results. At α = 0.01, test the researcher’s claim.

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

(b) Find the critical value and identify the rejection region, 

(c) Find the chi-square test statistic,

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

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

Transcribed Image Text:

less than 9 Survey results Minutes Frequency, f 25 or more 18% 10-12 24% less than 9 20 21-24 10-12 80 6% 13-16 113 13-16 26% 17-20 22% 17-20 91 21-24 40 25 or more 56