A charity solicits donations by telephone. It has been found that 60% of all calls result in a refusal to donate; 30% result in a request for more information through the mail, with a promise to at least consider donating; and 10% generate an immediate credit-card donation. For a random sample of 100 calls made in the current week, 65 result in a refusal to donate, 31 result in a request for more information through the mail, and 4 generate an immediate credit-card donation. Test at the 10% level the null hypothesis that the usual pattern of outcomes is being followed in the current week.

2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…

As a destination marketing director, you found that TV executives used the guideline that 25% of the viewers were watching Fox cable network, 22% watching NBC and CBS, and 19% watching ABC.  The remaining 12% were watching other cable networks such as CNN and MSNBC on a weekday night.  A random sample of 500 viewers in the D.C. metro area last Tuesday night showed 109 homes were tuned in to the Fox station, 125 homes tuning in to NBC affiliate, 100 homes tuning in to CBS affiliate and 81 homes tuning in to ABC affiliate.  85 homes were watching CNN and NSNBC cable stations.  At the 0.05 significant level, can we conclude that the guideline is still reasonable?

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