Question

48. The American Potato Growers Association (APGA) would like to test the claim that the pro- portion of fast food orders this year that includes French fries exceeds the proportion of fast food orders that included French fries last year. Suppose that a random sample of 49,581 electronic receipts for fast food orders placed this year shows that 31,038 included French fries. Assuming that the proportion of fast food orders that included French fries last year is .62, use this information to test APGAs claim at α-.05. Discuss the practical significance of the results

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(3) Test Statistics The z-statistic is computed as follows: p Po 0.626 0.62 = 2.755 Vpo (1- P0)/n V0.62(1- 0.62)/4958 (4) Decision about the null hypothesis 2.755 > 1.64, it is then concluded that the null Since it is observed that nypotnesi is is rejected. Using the P-value approach: The p-value is p = 0.0029, and since p0.00290.05, it is concluded that the null hypothesis is rejected.

Conclusion :

at the α=0.05 significance level. there is enough evidence to support the claim that French fries exceeds the proportion of fast food orders that included french fries last year

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