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TH1123 section OB Fall 202 A certain article indicates that in a sample of 1 000 dog owners 660 said that they take more pictures of their dog than of their significant others or friends and 420 said that they are more likely to complain to their dog than to a friend Suppose that it is reasonable to consider this sample as representative of the population of dog owners LAUSE SALT C Solved The formula used to compute a large sample c a Construct a 90 confidence interval for the proportion of dog owners who take more pictures of their dog than of their significant others or friends Enter your answer using interval notation Round your numerical values to three decimal places Interpret the interval There is a 90 chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval We are 90 confident that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval We are 90 confident that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls directly in the middle of this interval We are 90 confident that the mean number of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval There is a 90 chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls directly in the middle of this interval b Construct a 95 confidence interval for the proportion of dog owners who are more likely to complain to their dog than to a friend Enter your answer using interval notation Round your numerical values to three decimal places c Give two reasons why the confidence interval in part b is wider than the interval in part a First the confidence level in part b is higher than Interpret the interval We are 95 confident that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls directly in the middle of this interval There is a 95 chance that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls within this interval There is a 95 chance that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls directly in the middle of this interval We are 95 confident that the mean number of dog owners who are more likely to complain to their dog than to a friend falls within this interval We are 95 confident that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls within this interval the confidence level in part a so the z critical value for part b is larger than the z critical value for part a Second the

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