ng.cengage.com MndTap Cengage Learing Austin Smythe ch·7-12) Activity Informatio

Question

ng.cengage.com MndTap Cengage Learing Austin Smythe ch·7-12) Activity Information A study showed that 66% of supermarket shoppers beteve supermarket brands to be as good as national name brands. To mvestgate whether this resit applies to its own product·thie manufacturer of a national name-brand ketchup asked sample of shoppers whether they believed that supermarket kest up mas as good as the nation bond a. Formulate the hypotheses that could be used to determine whether the perceneage of supermarket shoppers who believe that the supermaket ketchup was as geod as the national brand ketchup mered from 68%. b. If a sample of 100 shoppers showed 58 stating that the supermarket brand was as good as the national brand, what is the p-value (co 4 decimals)? Ata-05, what is your conclusion? d. Should the national brand ketchup manufacturer be pleased with this conciusion? 68 % of the shoppers beleve the supermarket band as 1,8 indicates that-ewer T) than 5

Explanation / Answer

b)

p value

= 2 * p [Z < p - P / PQ/n]

= 2 * p [Z < 0.58 - 0.68 /0.68*0.32/100]

= 2* p[Z > -1.466]

= 2*0.0713

= 0.1426

c) p value > 0.05, do not reject H0

since p value = 0.1426 > 0.05

d) Yes

p value > alpha(0.05)

fewer than

68%

  

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