A sports magazine claims that the opinions of golf students about what they need the most help with in golf are distributed as shown in the pie chart. You randomly select 435 golf students and ask them what they need the most help with in golf. The table shows the results. At α = 0.05, test the sports magazine’s claim.

Survey results

Response                    Frequency, f

Short-game shots ………….  276

Approach and swing ………   99

Driver shots ……………….   42

Putting …………………….    18

(a) Identify the expected distribution 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,

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

Transcribed Image Text:

Approach and swing 22% าว Dive shots 9% Putting 4% Short-game shots 65%