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- Problem in economics: Random samples of 400 men and 600 women were asked whether they would like to have a flyover near their residence. 200 men and 325 women were in favour of the proposal. Test the hypothesis that proportions of men and women in favour of the proposal, are same against that they are not, at 5% level.Hotel Prices. Hotel room pricing changes over time (Lodging Magazine), but is there a difference between Europe hotel prices and U.S. hotel prices? The file IntHotels contains changes in the hotel prices for 47 major European cities and 53 major U.S. cities. a On the basis of the sample results, can we conclude that the mean change in hotel rates in Europe and the United States are different? Develop appropriate null and alternative hypotheses. b Use a.01. What is your conclusion?7. A 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.
- The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). C Ho: Hd = 0 kg H₁: Hd> 0 kg (Type integers or decimals. Do not round.) Identify the test statistic. t = 1.32 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.112 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? September April 51 71 58 81 73 64 64 68 54 54 77 56 82 75 68 60 68 56 a. Use a 0.01 significance level to test the claim that for the population f freshman male college students, the weights in September are less than the weights in the following April.…We are interested in analysing the effect of the lockout laws introduced in some areas of the Sydney CBD and nearby surrounds on the number of alcohol-related violent incidents. Suppose we have two samples of data on the number of violent incidents in a number of local areas of the Sydney CBD and nearby surrounds. Pubs, hotels and clubs located in a subset of these areas became subject to the lockout laws when they were introduced in 2014. The first sample is from 2010 before the introduction of the lockout laws, and the second is from 2015 after the introduction of the law. The hypothesis we wish to test is that the introduction of the lockout laws reduces violent incidents in the areas in which the lockout laws were put in place. We use a difference-in-difference model on the pooled data from 2010 and 2015. We find the following results: viol_inc hat = 33.21 (5.29) + 12.43lockout (7.01) – 4.19Yr2015 (2.98) – 3.32 (lockout x Yr2015) (1.85) N = 181, R^2 = 0.128 Where: viol_incis the…Question 3 Programming exercise for R Studio This question requires the use of the software R Studio. Specifically, you need to create a short R script. Please attach your R script and outputs to your Assignment. Please perform 2 Monte Carlo Experiments and investigate the behaviour of the sum of all the sample data. Consider the example of rolling a dice four times in a row. A sample now consists of four independent random draws from the set {1,2,3,4,5,6). For instance, your sample set may be {2,5,1,1). It is apparent that the sum of these four random variables (2+5+1+1=9) is also a random variable. We can use R's random number generation to learn more about the distribution of the sample sum. The basic idea is to simulate outcomes of the true distribution repeatedly drawing random samples of 4 observation (rolling the dice four times). To perform these simulations in R, please proceed as follows: 2 1. Set the sample size equal 4 and the number of samples (repetitions) to be drawn…
- Next 3 questions are related to the following: A random sample of 1200 vehicles on a freeway are clocked to test the hypothesis that the proportion of vehicles driving above 80 miles per hour is 25%. The number of vehicles in the sample driving above 80 mph is 326. What is the sample proportion? 31 a 0.267 0.272 0.276 d 0.281 32 The test statistic is: a 1.73 1.67 1.60 d 1.54 33 The p-value is, 0.0830 Reject Ho at a = 0.10. 0.0798 Do not reject Ho at a = 0.05. 0.0415 Reject Ho at a = 0.05. 0.0399 Reject Ho at a = 0.05. a b dWe are studying the factors that contribute to unemployment at an individual level. UE, unemployment, is our dependent variable and it is a binary variable that takes the value 1 if an individual is unemployed and 0 if they are employed. We have a random sample and we estimate the following model: UE^= 0.508−0.051educ−0.023urban+0.005age(0.122) (0.012) (0.005) (0.002)n=6214, R2=0.474 where educ = an individual’s years of education urban = a dummy equal to 1 if the individual lives in an urban area and 0 otherwise age = an individual’s age in years What is the correct interpretation of the estimated coefficient on education?five-star restaurant has the business objective of improving customer waiting time during the noon-to-1 p.m. lunch period. The manager decides to compare the waiting time between the restaurant's two locations. A random sample of 15 customers was selected from Location 1, and another random sample of 15 customers was selected from location 2 on the same day. The waiting times collected from both samples are stored in the following table. Location 1 Location 2 4.21 9.66 5.55 5.90 3.02 8.02 5.13 5.79 4.77 8.73 2.34 8.01 3.54 8.35 3.20 10.49 4.50 6.68 6.10 5.64 0.38 4.08 5.12 6.17 6.46 9.91 6.19 5.47 3.79 3.82 At a 0.05 level of significance, is there evidence of a difference in the means waiting time between the two locations? Determine the p-value in (a) and interpret its meaning. What assumption about the population distribution of each location is necessary for (a)? Is the…
- Unanswered 4 attempts left a Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 15 minutes or less. If a longer mean survey time is necessary, a premium rate is charged. Suppose a sample of 35 surveys shows a sample mean of 17 minutes. Use o = 4 minutes. a. Formulate the null and alternative hypotheses for this application. Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer b Q2a Homework Unanswered Due Apr 4th, 11:50 PM d U Ho H15; HA 15 c Ho με 15; Η, : μ > 15 H : μ > 15; Μ, :μ 15 F Ho:μ > 15; H, μ < 15 8 Ho: H≤15: HA: µ ≥ 15 Unanswered. 4 attempts left Submit Q2b-d Homework Unanswered Due Apr 4th, 11:59 PM SubmitWhich of the following is a reason for using independently pooled cross sections? a. To increase the sample size b. To select a sample based on the dependent variable c. To select a sample based on the independent variable d. To obtain data on different cross sectional unitsConsider the following single variate model (1) fare Bo + B₁dist + u =