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5. At a fast-food restaurant, the proportion of customers who get a dessert with their lunch...

5. At a fast-food restaurant, the proportion of customers who get a dessert with their lunch is known to be 0.12. A local restaurant has been re-assessing this proportion since the COVID-19 quarantine. Based on a sample of 146 customers who came through during the lunch hour one day, the proportion was calculated to be 0.15. At a significance level of 0.05, test whether the proportion has changed.

?0:?= 0.12 and ?1:?≠0.12

(A) State the decision rule. (5)

(B) Compute the value of the test statistic. (12)

(C) What is your decision regarding the hypotheses? Explain what is going on here – if anything. (8)

Math   Statistics-And-Probability   
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