Use the sample data and confidence level given below to complete parts (a) through (d). Adrug is used to help prevent blood clots in certain patients. In clinical trials, among 4981 patients treated with the drug, 142 developed the adverse reaction of nausea. Construct a \( 90 \% \) confidence interval for the proportion of adverse reactions. a) Find the best point estimate of the population proportion \( p \). (Round to three decimal places as needed.) b) Identify the value of the margin of error \( E \). (Round to three decimal places as needed.) c) Construct the confidence interval. \( \square \) < \( <\square \)

Construct a box plot from the given data. Diameters of Cans in an Assembly Line: \( 5.8,5.7,5.2,5.5,5.3,5.7,5.8,5.4,5.9,5.3 \)

If a scatter plot shows points that are closely clustered together, what can you infer about the correlation between the variables?

Four scenarios of statistical studies are given below. Decide which study uses a population parameter. Answer 1000 of the 1883 participants in last year's Ironman in Kona, Hawail were interviewed. \( 68 \% \) of those interviewed said they became interested in triathlons after first ofmpeting in marathons. 351 dog owners who were surveyed, 70 reported owning two dogs. Parkland Hospital performs 15,000 births a year. Of 1000 subjects in a study on multiple births, 38 gave birth to twins. in \( 2001.78 \% \) of children diagnosed with cancer were in remission after five years, and this number is improving.

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.

a) Find the critical \( \chi^{2}- \) value for a left-tailed test when \( n=11 \) and \( \alpha=0.01 \). marks] b) Find the critical \( \chi^{2}- \) value for a two-tailed test when \( n=9 \) and \( \alpha=0.05 \). marks]