The following data come from a survey of people that asked about their preference of one of 3 ice cream flavors: Chocolate Vanilla Strawberry Male 350 120 60 Female 100 180 90 Find the first value of expected frequency (E1). Answer:
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- ath ess Most Watched Ani... A pharmaceutical company claims their new diabetes medication results in less variance in a patient's glucose level than if the patient were on no medication at all. An endocrinologist wishes to test this claim. She divides participants randomly into two groups. Group A consists of 20 diabetics who received the medication; group B consists of 26 diabetics who received a placebo. After two weeks, the blood sugar level of each patient in each group was measured with the following results (in mg/dL): Group A: 77.8, 229.4, 199.9, 110.1, 180.2, 116.1, 139.7, 171.1, 37.4, 158.1, 88.4, 195.5, 246.1, 142.4, 178.1, 105.5, 179.6, 146.1, 78.8, 123.7 Group B: 124.5, 130.1, 136, 162.8, 113.4, 72.8, 142.6, 50.3, 179.8, 197, 230, 194.3, 171, 109.3, 114.4, 107.5, 114.7, 195.3, 127.7, 126.4, 85.6, 166.7, 182.3, 113.5, 216.7, 162.8 Ho: Perform a hypothesis test using a 6% level of significance to test the pharmaceutical company's claim. Step 1: State the null and alternative…The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 296 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.10. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 73 Lane 2 63 Lane 3 Lane 4 85 75 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? Ho: O The traffic and lanes are dependent. O The traffic and lanes are independent. O The distribution of traffic is not uniform. OThe distribution of traffic is uniform. H₁: O The traffic and lanes are dependent. O The distribution of traffic is not uniform. O The distribution of traffic is uniform. O The traffic and lanes are independent. d. The degrees of freedom = e. The test-statistic for this data = (Please show your answer to three decimal places.)
- You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 372 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.10. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 89 Lane 2 90 Lane 3 92 Lane 4 101A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below. Age Group Watch11 p.m. News? 18 or less 19 to 35 36 to 54 55 or Older Total Yes 49 59 61 84 253 No 201 191 189 166 747 Total 250 250 250 250 1,000 (a) Let p1, p2, p3, and p4 be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H0 that p1, p2, p3, and p4 are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)…About 4% of the population has a particular genetic mutation. 300 people are randomly selected.Find the mean for the number of people with the genetic mutation in such groups of 300. (Remember that means should be rounded to one more decimal place than the raw data.)
- A businesswoman is considering whether to open a coffee shop in a local shopping center. Before making this decision, she wants to know how much money people spend per week at coffee shops in that area. She took a random sample of 26 customers from the area who visit coffee shops and asked them to record the amount of money (in dollars) they would spend during the next week at coffee shops. At the end of the week, she obtained the following data (in dollars) from these 26 customers: 16.63 38.63 15.14 14.47 5.01 63.64 10.19 13.28 32.25 36.00 16.19 65.91 10.28 37.14 3.22 6.92 34.65 6.40 36.35 27.59 38.67 13.18 9.80 9.48 1.21 5.19 Assume that the distribution of weekly expenditures at coffee shops by all customers who visit coffee shops in this area is approximately normal. Round your answers to cents.a. What is the point estimate of the corresponding population mean?x¯=$b. Make a 99% confidence interval for the average amount of money spent per week at coffee shops by all…A sample of students involved in laboratory accidents was categorized by age. The results appear as: Find the median scoreA firm wants to know if there is any difference in percentage of sport category watched based on age. The data for consumer preference can be found in the table below. What are the expected frequencies of each consumer entry? TV Viewers: % of Viewers, by Major Sport Category Item Ages 18-34 Ages 35+ eSports 50.6 86.3 Mixed Martial Arts 30 80.7 MLS 27.3 79.7 High School Football n/a 79.4 Minor League Hockey 24.6 78.8 Soccer (non-USA) 23.9 78.7 NBA 23.9 77.5 Running n/a 76.9 Minor League Baseball 21.7 76.7 NHL 20.1 73.9 NFL 20.1 70.5 NASCAR 19.3 n/a MLB 19.1 68.1 Tennis 18.7 68.5 College Basketball 18.2 n/a IndyCar 18 62.7 College Football 17.9 62.5 Golf 11.9 32
- You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 296 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.10. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 73 Lane 2 59 Lane 3 79 Lane 4 85 b. What is the correct statistical test to use? Select an answer < c. What are the null and alternative hypotheses? Ho: The traffic and lanes are independent. The distribution of traffic is not uniform. The distribution of traffic is uniform. The traffic and lanes are dependent. H1: The traffic and lanes are independent. O The distribution of traffic is uniform. The distribution of traffic is not uniform. The traffic and lanes are dependent.A new store is deciding what pens to stock up on. The owner wants to know if each colour of pen is equally popular so they can start ordering supplies. To find out, the owner selects a random sample of 100 students and asks them "What colour of pen do you prefer: Blue, Black, Red, or Green?" Here is the data collected from the sample of students: Blue = 35 people Black 31 people Red = 21 people Green 13 people = Calculate the appropriate test statistic for these data to determine if there is a preference in pen colour. Enter your calculated statistic below Answer:find the z score in which 93.70% of the z scores in a population are below that value
