A financial analyst claims that the distribution of people who use cash to make their purchases is different from the distribution shown in the figure. You randomly select 600 people and record the way they make purchases. The table shows the results. At α = 0.01, test the financial analyst’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.

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Making purchases All purchases with cash Most purchases with cash Half of purchases with cash Survey results Response All purchases with cash Most purchases with cash Half of purchases with cash Some purchases with cash No purchases with cash Frequency, f 60 19% 17% 20% 84 132 252 Some purchases with cash No purchases with cash | 33% 11% 72