3) Freddie is working on his tennis serve. While practicing, he gets 15 out of 20 in bounds (75% in bounds). Freddie wants to know if his long-run proportion of getting his serves in bounds in is greater than 50%. 4) A new Star Wars movie opens at the theater, and a researcher goes to the Poughkeepsie Galleria and randomly selects movie-goers. The researcher asks each randomly selected movie-goer if they are seeing the new Star Wars movie or if they are seeing something else at the theater. The researcher wants to know if less than 40% of all movie goers are there to see Star Wars that night. The researcher's sample of 140 randomly selected movie-goers found that 50 of them (35.7% of them) were there to see the new Star Wars movie. a) Describe the parameter of interest in the context of this study. Also identify the symbol for this parameter. a) Describe the parameter of interest in context. Also give the symbol we use for this. b) What is the value of the observed statistic including the correct symbol? Identify the correct symbol we should use for this statistic. b) Identify the sample statistic and identify the correct symbol for this value. c) Write out the null and alternative hypotheses for this study in words and also in symbols. c) Write the null and alternative hypothesis using words and also using the appropriate symbols. d) Use the One Proportion applet to generate 1000 simulated samples and find the p-value on the simulation applet. Copy and paste a screen shot of what you entered into the applet and also the resulting simulated distribution. Make sure that your screen shot shows your p-value and what you entered in the applet. d) Use the One Proportion applet to generate 1000 simulated samples and find the p-value on the simulation applet. Copy and paste a screen shot of what you entered into the applet and also the resulting simulated distribution. Make sure that your screen shot shows your p-value and what you entered in the applet. e) Calculate the value of the standardized statistic, and also identify the correct symbol. Show all work. f) Write the literal interpretation of the p-value in terms of Freddy's serves. (Hint: "If we assume then the probability of __is__") e) Calculate the value of the standardized statistic, and also identify the correct symbol. Show all work. f) g) Write the conclusion we should draw about Freddy's serves. (Hint: "We have strong evidence ...." or "It is plausible that..." etc.) Write the literal interpretation of the p-value in the context of movie goers. (Hint:_"If we assume then the probability of __is__"") g) Write the conclusion we should draw in the context of movie goers. (Hint: "We have strong evidence ...." or "It is plausible that..." etc.) 3) Freddie is working on his tennis serve. While practicing, he gets 15 out of 20 in bounds (75% in bounds). Freddie wants to know if his long-run proportion of getting his serves in bounds in is greater than 50%. 4) A new Star Wars movie opens at the theater, and a researcher goes to the Poughkeepsie Galleria and randomly selects movie-goers. The researcher asks each randomly selected movie-goer if they are seeing the new Star Wars movie or if they are seeing something else at the theater. The researcher wants to know if less than 40% of all movie goers are there to see Star Wars that night. The researcher's sample of 140 randomly selected movie-goers found that 50 of them (35.7% of them) were there to see the new Star Wars movie. a) Describe the parameter of interest in the context of this study. Also identify the symbol for this parameter. a) Describe the parameter of interest in context. Also give the symbol we use for this. b) What is the value of the observed statistic including the correct symbol? Identify the correct symbol we should use for this statistic. b) Identify the sample statistic and identify the correct symbol for this value. c) Write out the null and alternative hypotheses for this study in words and also in symbols. c) Write the null and alternative hypothesis using words and also using the appropriate symbols. d) Use the One Proportion applet to generate 1000 simulated samples and find the p-value on the simulation applet. Copy and paste a screen shot of what you entered into the applet and also the resulting simulated distribution. Make sure that your screen shot shows your p-value and what you entered in the applet. d) Use the One Proportion applet to generate 1000 simulated samples and find the p-value on the simulation applet. Copy and paste a screen shot of what you entered into the applet and also the resulting simulated distribution. Make sure that your screen shot shows your p-value and what you entered in the applet. e) Calculate the value of the standardized statistic, and also identify the correct symbol. Show all work. f) Write the literal interpretation of the p-value in terms of Freddy's serves. (Hint: "If we assume then the probability of __is__") e) Calculate the value of the standardized statistic, and also identify the correct symbol. Show all work. f) g) Write the conclusion we should draw about Freddy's serves. (Hint: "We have strong evidence ...." or "It is plausible that..." etc.) Write the literal interpretation of the p-value in the context of movie goers. (Hint:_"If we assume then the probability of __is__"") g) Write the conclusion we should draw in the context of movie goers. (Hint: "We have strong evidence ...." or "It is plausible that..." etc.)