Camila has the following questions. If Camila chose not to pursue the Happy Hour promotion, how likely is it that 46% or more of iced-coffee customers are women? Multiple choice question. 36.69% 28.67% 33.41% 77.35%
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Camila is interested in the proportion of iced-coffee customers who are women, specifically whether this proportion is 46% or more. Show more…
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EXAMPLE 7.6 Consider the information presented in the introductory case of this chapter. Recall that Camila wants to determine if the Happy Hour promotion has had a lingering effect on the proportion of customers who are women and teenage girls. Prior to the Happy Hour promotion, 43% of the customers were women and 21% were teenage girls. Based on a random sample of 50 customers after the Happy Hour promotion, these proportions increase to 46% for women and 34% for teenage girls Camila has the following questions. a. If Camila chose not to pursue the Happy Hour promotion, how likely is it that 46% or more of iced-coffee customers are women? b. If Camila chose not to pursue the Happy Hour promotion, how likely is it that 34% or more of iced-coffee customers are teenage girls? solution: If Camila had not pursued the Happy Hour promotion, then the proportion of customers would still be p = 0.43 for women and p = 0.21 for teenage girls. With n = 50, the normal approximation for the sample proportion is justified for both population proportions. a. As shown in Figure 7.7, we find that P(p̄ ≥ 0.46) = P(Z ≥ (0.46 - 0.43) / √((0.43(1 - 0.43)) / 50)) = P(Z ≥ 0.4285) = 0.3341. FIGURE 7.7 Finding P(p̄ ≥ 0.46)
Adi S.
1. The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport kiosk. Small Medium Large Regular 14% 20% 26% Decaf 20% 10% 10% Consider randomly selecting such a coffee purchaser. (a) What is the probability that the individual purchased a small cup? A cup of decaf coffee? (b) If we learn that the selected individual purchased a small cup, what now is the probability that he/she chose decaf coffee, and how would you interpret this probability?
Sri K.
Anne Jones wants to determine if a packaging campaign has had a lingering effect on the proportion of customers who are women and teenage girls. Prior to the campaign, 43% of the customers were women and 21% were teenage girls. Based on a random sample of 50 customers after the campaign, these proportions increase to 46% for women and 34% for teenage girls. Anne has the following questions: If Starbucks chose not to pursue the marketing campaign, how likely is it that 46% or more? If Starbucks chose not to pursue the marketing campaign, how likely is it that 34% or more?
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