SCENARIO 5-7 A Consulting Firm That Surveyed Consumers' Holiday Shopping Behavior Found

question 141

Short Answer

SCENARIO 5-7
A consulting firm that surveyed consumers' holiday shopping behavior found that the percentage of
consumers from the U.S., Canada, and China who said that they planned to spend more on holiday
shopping were 40%, 34% and 73%, respectively. The survey also found that the percentage of
consumers from the U.S., Canada, and China who said that they were willing to share personal
information with retailers in order to receive personalized offers from retailers were 55%, 46% and
72%, respectively. Suppose you randomly select 5 consumers from each of the three countries.
-Referring to Scenario 5-7, the probability that at least 3 consumers from the U.S. plan to spend
more on holiday shopping is ________.

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Definitions:

P-value

The probability of obtaining a test statistic at least as extreme as the one that was actually observed, assuming that the null hypothesis is true.

Test Statistic

A value calculated from sample data during a hypothesis test that is compared to a threshold value to decide whether to reject the null hypothesis.

Wilcoxon Signed Rank Sum Test

A statistical test that doesn't rely on parameters to compare two matched groups, aiming to determine if there is a difference in their population mean ranks.

Normal Approximation

A technique in statistics where a binomial distribution is approximated using a normal distribution, applicable under certain conditions, such as a large sample size.