Researchers selected 872 patients at random among those who take a certain widely-used prescription drug daily. In a clinical trial, 27 out of the 872 patients complained of flulike symptoms. Suppose that it is known that \( 2.7 \% \) of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than \( 2.7 \% \) of this drug's users experience flulike symptoms as a side effect at the \( \alpha=0.1 \) level of significance? Because \( \mathrm{np}_{0}\left(1-\mathrm{p}_{0}\right)=22.9>10 \), the sample size is less than \( 5 \% \) of the population size, and the patients in the sample were selected at random, all of the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? \( \mathrm{H}_{0}: \) versus \( \mathrm{H}_{1}: \square \) : (Type integers or decimals. Do not round.)

Scores on a test have a mean of 89 and a standard deviation of 7 . Calvin has a score of 79. Convert Calvin's score to a \( z \)-score, rounded to the nearest hundredth.

A water bottling facility has a mean bottling rate of 34.1 thousand bottles per hour with a standard deviation of 2.13 thousand bottles. A nearby cola bottling facility has a mean bottling rate of 25.7 thousand bottles per hour with a standard deviation of 1.63 thousand bottles. One Wednesday from noon to \( 1: 00 \) p.m., the water bottling facility bottled 37.2 thousand bottles of water, and the cola bottling facility bottled 27.7 thousand bottles of cola. Which facility increased their efficiency more during that hour? Answer

Supstion 5 of 19, Step 1 of 1 percentage of American women have shoe sizes that are greater than 9.58 ? Please do not round your answer. Answer How to enter your answer (opens in new window)

Find the range of the following data set. Assume the data set is a sample. \[ 43 \quad \begin{array}{lllllllll}54 & 51 & 86 & 39 & 51 & 52 & 45 & 81 & 46\end{array} 46 \]

The grades on the second statistics test for Mr. Brown's class are in the following list. Find the frequency distribution for the grades. \[ F, C, B, D, D, A, F, B, B, D, F, D, D, B, B, D, B, A, D, F, D \]