Any basketball fan knows that Shaquille O'Neal, one of the NBA's most dominant centers of the last twenty years, always had difficulty shooting free throws. Over the course of his career, his overall made free-throw percentage was 53.3%. During one off-season, Shaq had been working with an assistant coach on his free-throw technique. During the next season, a simple random sample showed that Shaq made 26 of 39 free-throw attempts. Test the claim that Shaq has significantly improved his free-throw shooting using a 0.05 significance level. Do you retain or reject the null hypothesis?

By a small margin, Facebook remains the top choice of social media over all ages, with 29% using Facebook most often among those using social media sites. However, more visually oriented social networks such as Snapchat and Instagram continue to draw in younger audiences. When asked "Which one social networking brand do you use most often?" the results in the table show the top brands chosen by Americans aged 12-34 who currently use any social networking site or service. Social M edia Site Faceboo k Snapchat Instagra m Twitter Percentage That Use Most Often 29 28 26 6 20 (a) What is the sum of the percentages for these top social media sites? Give your answer as an exact number. Macmillan Learning top social media sites: What percent of Americans aged 12-34 use other social media sites most often? Give your answer as an exact number. other social media sites: do %

A real estate​ agency, located in a metropolitan area in the northeastern​ U.S., kept data on the various types of properties purchased in the area.​ Historically, 15% of purchases were for​ condominiums, 30% were for​ townhouses, 40% for single family​ homes, 10% for commercial properties and​ 5% for land. With changing​ demographics, the agency wondered if the current distribution matches the historical distribution. Recent data showed the​ following: Type of Property Condos Townhouses Homes Commercial Land Frequency 89 121 78 25 12 Based on the historical​ distribution, we would expect how many homes to be​ purchased? Question content area bottom Part 1 A. 130 B. 121 C. 129.95 D. 122.54 E. 100

Do people feel hungrier after sampling a healthy snack?  Researchers randomly assign volunteers into one of three groups.  The people in the first group were asked to taste a snack that was billed as a new health bar containing high levels of protein, vitamins, and fiber.  The people in the second group were asked to taste the same snack but there told it was a tasty chocolate bar with a raspberry center.  After tasting the snack, participants were asked to rate their hunger on a scale from 1 (not at all hungy) to 7 (very hungry).  The people in the third group were asked to rate their hunger but were not given a snack.   Healthy Tasty No Snack 8 3 3 7 1 3 7 3 5 4 2 6 5 6 5 ­a.  Perform a complete one-way ANOVA hypothesis test.  Test at the .05 level of significance.