A survey conducted in 1999 showed that "69% of people saidthey chose books on the basis of their jackets, andnearly 72% said they were influenced by book reviews." Asurvey conducted in 2004 showed that "one in four of those polledsaid the last book they read was on the basis of what a colleagueor family member had told them [...] Only loyalty to a favouredauthor counted as much, with 25% of readers saying theirlast choice of a book for pleasure was because they had read othersby the same author. In a disappointing result for the promotionalteams who spend up to 100 million pounds on book advertising everyyear, only 5% said they chose a book because they saw itadvertised, with 6% citing the cover design as thedeciding factor."
(a) Which survey apparently allowed for overlappingcategories?
the one from 2004both surveys neithersurveythe one from 1999
(b) Based on the first survey, what is your best guess for theproportion of all people who choose books on the basis of theirjackets? (Round your answer to two decimal places.)(c) The percentage of people who "judge a book by its cover" seemsto be 69% according to the first survey, andonly 6% according to the second one. What is the bestexplanation for these percentages being so different?
The difference can be attributed to sampling error.Thedifference can be attributed to the questions: for 69% the coverwas one of several reasons for choosing a book; for 6% the coverwas the predominant reason. The differencecan be attributed to missing data from the 2004 population.Thedifference can be attributed to the populations: the population of1999 is a different population from that of 2004.
(d) Suppose about 1,000 people had been sampled for the secondsurvey, and a 95% confidence interval for population proportion whojudge a book by its cover was found to be (0.04, 0.08). Whichone of these is the best interpretation of this interval?
We have produced an interval with a 95% probability ofcontaining the proportion of all people for whom a book's coverwas the deciding factor in choosing the lastbook they read.We have produced an interval with a 95% probabilityof containing the proportion of all people for whom a book's coverwas among the deciding factors in choosing the last book theyread. We have produced an interval with a95% probability of containing the sample proportion of people forwhom a book's cover was the deciding factor inchoosing the last book they read.We have produced an interval witha 95% probability of containing the sample proportion of people forwhom a book's cover was among the deciding factors in choosing thelast book they read.
A survey conducted in 1999 showed that "69% of people said they chose books on the basis of their jackets, and nearly 72
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