In 1945 , an organization asked 1440 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 757 responding yes. Did a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945 ? Use the \( \alpha=0.05 \) level of significance. \( \mathrm{H}_{0}: \mathrm{p}=0.5 \) versus \( \mathrm{H}_{1}: \mathrm{p} \) (Type integers or decimals.) Determine the test statistic, \( \mathrm{z}_{0} \). \( \mathrm{z}_{0}=1.95 \) (Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is \( \square \). (Round to three decimal places as needed.)

4 If the point \( (30,50) \) is the point of intersection of the ascending and descending curves, then the sum of its frequency equals \( \begin{array}{llll}\text { (a) } 30 & \text { (b) } 50 & \text { (c) } 60 & \text { (d) } 100\end{array} \)

In how many ways can a committee of 5 students be formed from 10 students?

Scores on a test have a mean of 78 and a standard deviation of 13 . Tom has a score of 66 . Convert Tom's score to a \( z \)-score, rounded to the nearest hundredth.

The five-number summary for a data set is: Min \( =14 \quad Q_{1}=40 \quad M=55 \quad Q_{3}=62 \quad \) Max \( =99 \) a Determine the values of the upper and lower fences. b The smallest three values in the data set are \( 6,18,34 \) and the largest are \( 90,94,99 \). Which of these are outliers?

A water bottling facility has a mean bottling rate of 33.5 thousand bottles per hour with a standard deviation of 1.92 thousand bottles. A nearby cola bottling facility has a mean bottling rate of 26.2 thousand bottles per hour with a standard deviation of 1.42 thousand bottles. One Wednesday from noon to \( 1: 00 \) p.m., the water bottling facility bottled 36.8 thousand bottles of water, and the cola bottling facility bottled 28.4 thousand bottles of cola. Which facility increased their efficiency more during that hour? Answer