The color of the Star Trek uniform represents each crew-member's work area. In the original Star Trek series, blue shirts are worn by medical and science staff, gold shirts are worn by the command division, and the red shirts were worn by engineering, security and communications division. We will statistically assess whether there is a connection between uniform color and the fatality rate. The table below shows a sample of how many crew-members in each area have died onscreen and their shirt color. Use a = 0.05 to test to see if a crew-member's fatality onscreen is dependent on their uniform color. Blue Gold Red Total Alive 39 18 32 89 Dead 9 7 24 40 a. Choose the correct null and alternative hypotheses. O Ho: There is an association between Star Trek fatalities and uniform color. Ha There is no association between Star Trek fatalities and uniform color. Blue O Ho: There is no association between Star Trek fatalities and uniform color. Ha There is an association between Star Trek fatalities and uniform color. Gold Total 48 25 b. Complete the following table of expected counts under the assumption that the null hypothesis is true. (Round your answers to 1 decimal place). Dead Red 56 129 Alive c. Use appropriate technology to compute the value of the test statistic (rounded to 2 decimal places) and the P-value (rounded to 3 decimal places). x² = P-value = d. Interpret the results of the significance test. O The P-value provides strong evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is statistically significant. O The P-value provides little evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is not statistically significant.

Bicycling, the world's leading cycling magazine, reviews hundreds of bicycles throughout the year. Their "Road-Race" category contains reviews of bikes used by riders primarily interested in racing. One of the most important factors in selecting a bike for racing is the weight of the bike. The following data show the weight (pounds) and price ($) for 10 racing bikes reviewed by the magazine.† Brand Weight Price ($) FELT F5 17.8 2,100 PINARELLO Paris 16.1 6,250 ORBEA Orca GDR 14.9 8,370 EDDY MERCKX EMX-7 15.9 6,200 BH RC1 Ultegra 17.2 4,000 BH Ultralight 386 13.1 8,600 CERVELO S5 Team 16.2 6,000 GIANT TCR Advanced 2 17.1 2,580 WILIER TRIESTINA Gran Turismo 17.6 3,400 SPECIALIZED S-works Amira SL4 14.1 8,000 (a) Use the data to develop an estimated regression equation that could be used to estimate the price for a bike given the weight. (Round your numerical values to the nearest integer). ŷ = ??       (b) Compute r2. (Round your answer to three decimal…

In a statistics activity, students are asked to spin a penny and a dime and determine the proportion of times that each lands with tails up. The students believe that since a dime is lighter, it will have a lower proportion of times landing tails up compared with the penny. The students are instructed to spin the penny and the dime 30 times and record the number of times each lands tails up. For one student, the penny lands tails side up 18 times, and the dime lands tails side up 20 times. Let pp = the true proportion of times a dime will land tails up and pp = the true proportion of times a penny will land tails up. The P-value for this significance test is 0.296. Which of the following is the correct conclusion for this test of the hypotheses H Pp-Pp=0 and H, Po-Pp 0.05. There is sufficient evidence that the true proportion of times a dime will land tails up is significantly less than the penny. O The student should reject the null hypothesis since 0.296 > 0.05. There is insufficient…

A drug company claims that an allergy medication causes headaches in 5% of those who take it. A medical researcher believes that more than 5% of those who take the drug actually get headaches. Identify the population(s). 5% of those who take the drug actually get headaches. the proportion of those who take the drug who get a headache. all individuals who take the medication. more than 5% of those who take the drug actually get headaches. What is the variable being examined for individuals in the population(s)? more than 5% of those who take the drug actually get headaches. the proportion of those who take the drug who get a headache. whether or not a person who takes the drug gets a headache. 5% of those who take the drug actually get headaches.

In 1940, 2,000 women working in a factory were recruited into a study.  Half of the women worked in manufacturing and half in administrative offices.  The incidence of bone cancer through 1970 among the 1,000 women working in manufacturing was compared with that of 1,000 women working in administrative offices.  Thirty of the women in manufacturing developed bone cancer as compared to 9 of the women in administrative offices.  Identify what type of study this is.

The Bureau of Transportation reports on-time performance for airlines at major airports.  JetBlue, United, and US Airways share Terminal C and Boston's Logan Airport. The percentage of on-time flights reported for a sample month were 76.8% for JetBlue, 71.5% for United, and 82.2% for US Airways. Assume that 30% of the arriving flights at this terminal are JetBlue flights, 32% are United flights, and 38% are US Airways flights. a. Develop a contingency table (table of joint probabilities and marginal probabilities). b. An announcement is made that Flight 1382 will arrive at Terminal C. What is the probability that the flight will arrive on time? c. Flight 1382 arrives on time. What is the probability that Flight 1382 is operated by US Airways?  d. Flight 1382 will not arrive on time. What is the probability that Flight 1382 is operated by United?

Suppose you are conducting a study about how the average US worker spends time over the course of a workday. You are interested in how much time workers spend per day on personal calls, emails, and social networking websites, as well as how much time they spend socializing with coworkers versus actually working. The most recent census provides data for the entire population of US workers on variables such as travel time to work, time spent at work, and break time at work. The census, however, does not include data on the variables you are interested in, so you obtain a random sample of 102 full-time workers in the United States and ask about personal calls, emails, and so forth. You are curious about how your sample compares with the census, so you also ask the workers the same questions about work that are asked in the census. Suppose the mean travel time to work from the most recent census is 24.1 minutes, with a standard deviation of 4.5 minutes. Your sample of 102 US workers…

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

Virginia polled a large sample of individuals to find the percentage of students with known food allergies and the percentage of students without known food allergies. Which of the following could sufficiently display the data if only the two given categories are to be included? Select the correct answer below:   bar graph   pie chart   either a pie chart or a bar graph   neither a pie chart nor a bar graph

A campus researcher wanted to investigate the factors that affect visitor travel time in a complex, multilevel building on campus. Specifically, he wanted to determine whether different building signs (building maps versus wall signage) affect the total amount of time visitors require to reach their destination and whether that time depends on whether the starting location is inside or outside the building. Three subjects were assigned to each of the combinations of signs and starting locations, and travel time in seconds from beginning to destination was recorded. How should the data be analyzed? Wall Signs Map Starting Room Interior 141, 119, 238 85, 94, 126 Randomized block design O Completely randomized design 2 x 2 factorial design Levene's test Exterior 224, 339, 139 226, 129, 130