A survey of 500 students of a college, it was found that 49% like watching football, 53% like watching hockey and 62% like watching basketball. Also, 27% like watching football and hockey, 29% like watching basketball and hockey and 28% like watching football and basketball. 5.4% like watching none of the three games. How many students watching all three games?
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- Salma publishes a blog on bird-watching, with field notes and pictures of her trips around the country. Recently she decided to conduct a poll among 400 of her subscribers, and found that 68% of those polled have liked at least one of her blogs, they have posted an average of 3.1 comments per blog, and 149 have liked all of her blogs. Later she found out that her website already has this information for all of her subscribers. According to her website, she has a total of 10,985 subscribers, of whom 75% have liked at least one of her blogs, they have posted an average of 2.4 comments per blog, and 4135 have liked all of her blogs. (a) For Salma's blog poll, identify the population and the sample. Population: All the subscribers to Salma's blog Sample: The 400 subscribers Salma polled (b) Choose whether each number described below is a parameter or a statistic for Salma's blog poll. Number Parameter Statistic G The average of 3.1 comments per blog that the 400 subscribers polled have…Suppose that in a survey of five-year-olds, 49%49% liked the letter A, 56% liked the letter B, and 53% liked the letter of C. 29% liked A and B 29% liked A and C, 32% liked B and C, and 16% liked all of them. What percentage liked A and B but not the letter C?Read the following information carefully then answer all the questions that follow. A marketing company does a fast-food survey and asks 500 people what they order on the side with their takeaway meals. They found that 141 people choose ice-cream, while 127 people choose burger. Finally, 149 people choose cola. They also found that 48 people choose ice-cream and cola, 27 people choose cola and burger, 32 people choose burger and ice-cream, and 10 people choose 3 of them; Burger, ice- cream and cola. a) Draw a Venn diagram and enter all the given information. b) Using the Venn Diagram and determine the number of people who order only Burger. c) What is the probability that a person orders ice-cream but not cola? d) What is the probability that a person will order no ice-cream?
- Can an interviewer influence how people respond to the survey question, "Do you like dogs?" To answer this question, Jason carried out an experiment. As each person approached, Jason flipped a coin. If it landed on heads, Jason picked up his puppy and asked the person if they like dogs. If the coin landed on tails, Jason picked up a clipboard and asked the person if they like dogs. Of the 50 people that Jason surveyed while holding his puppy, 35 said "Yes," while 11 of the 44 people that Jason surveyed while holding his clipboard said "Yes." Let p₁ = the true proportion of people like the ones in this study who would say they like dogs when Jason is holding his puppy and p2 = the true proportion of people like the ones in this study who would say they like dogs when Jason is holding a clipboard. Construct and interpret a 90% confidence interval for the difference in the proportion of people like these who would say they like dogs when Jason is holding his puppy or a clipboard. O…A teacher was listening to some of her students talk about how many SnapChats they send during the day. The teacher decided that she wanted to conduct a study to see if the number of SnapChats a student sends per day affects how much time students talk to their friends face-to-face. So, the teacher let her 2nd period class continue sending Snaps as they always have. Then, the teacher told her 5th period that they were to not watch use SnapChat for a whole day. Then, the teacher had students record how many conversations they had with their friends during the week, gathered the data, and analyzed the results. What type of study is this? Experimental or observational?A local radio station took a poll of 90 of its listeners to find out whether they like to watch Mariners games, Seahawks games, or Sounders games. They found that 36 like Mariners games, 59 like Seahawks games, 48 like Sounders games, 25 like Mariners games and Seahawks games, 17 like Mariners games and Sounders games, 29 like Seahawks games and Sounders games, and 11 like all three. How many of the people who took the poll only like Sounders games? How many people like Mariners games and Seahawks games but not Sounders games? How many people don't like any of the three types of games?
- The owner of a popular coffee shop wants to determine if there is a difference between the proportion of customers who use their own cups when they purchase a coffee beverage, and the proportion of customers who use their own cups when they purchase an espresso beverage. Customers using their own cups get a 5% discount, which is displayed on the receipt. The owner randomly selects 50 receipts from all coffee purchases and 50 receipts from all espresso purchases. For coffee purchases, 24 receipts showed that the customer used their own cup. For espresso purchases, 18 receipts showed that the customer used their own cup. Assuming the conditions for inference have been met, what is the 99% confidence interval for the difference in proportion of customers who use their own cups? Find the z-table here. O (0.48 - 0.36) ±2.58/ 0.48(1–0.48) , 0.36(1–0.36) 50 50 0.48(1-0.48) 0.36(1-0.36) (0.48 - 0.36) ±2.33/ 50 50 O (0.52 - 0.64)±2.58 0.52(1-0.52) 0.64(1-0.64) + 100 100 0.52(1-0.52) ,…A consumer agency wants to determine which of two laundry detergents, A or B, cleans clothes better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale from 1–10, with 1 being the least clean to 10 being the most clean. The difference in mean ratings (A – B) was determined to be 1.5. Assuming there is no difference in the two detergents, 200 simulated differences in sample mean ratings are displayed in the dotplot. Using the dotplot and the difference in mean ratings from the samples, is there convincing evidence that the one detergent is better than the other? Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that A is more effective…A report just came out that stated that 21.3% of all Americans say that vanilla is their favorite ice cream, 23.1% say that chocolate is their favorite, 9.1% favor butter pecan, 10% favor strawberry, and the rest have other favorites. An ice cream shop owner thinks that her customers are not like the rest of America. The table below shows the results of 905 of her patrons' ice cream selections. What can be concluded at the a = 0.05 significance level? a. Complete the table by filling in the expected frequencies. Round your answers to the nearest whole number. Frequencies of Favorite Ice Cream Frequency Expected Frequency Outcome Vanilla 172 Chocolate 195 Butter Pecan 75 Strawberry 86 Other 377 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? Но: Favorite ice cream and where the ice cream is purchased are independent. Favorite ice cream and where the ice cream is purchased are dependent. The distribution of favorite ice…
- Suppose that in a survey of five-year-olds, 45% liked the letter A, 54% liked the letter B, and 50% liked the letter of C. 29% liked A and B, 28% liked A and C, 29% liked B and C, and 15% liked all of them. What percentage liked A and B but not the letter C?A survey was conducted at University where 80 students were randomly asked whether they liked hamburgers or spaghetti for their snacks. 52 of the students say they like hamburgers, 40 like spaghetti and 10 do not like either of the hamburger or spaghetti. How many students like only hamburger or only spaghetti?A group of 91 students were surveyed about the courses they were taking at their college with the following results:39 students said they were taking Math.47 students said they were taking English.38 students said they were taking History.14 students said they were taking Math and English.16 students said they were taking Math and History.27 students said they were taking English and History.11 students said they were taking all three courses.How many students took none of the courses ?