Conduct a test at the significance level

interested in whether or not there is a benefit trying to locate their restaurants in shopping centre food courts. Food Court Not in Food Court Average Revenue 1609.69 1710.0 Standard deviation 190.85 150.83 Sample size 12 38 a. Conduct a test at the 5% level of significance to determine if there is a difference in average revenue between restaurants located in food courts to those that aren’t. Make whatever assumptions and carry out any checks that are necessary to conduct this test. (5)

we are just barely starting to understand.In the future, police and wrongdoing counteraction units may start to screen the degrees of contamination in their urban communities, and convey assets to the spaces where contamination is heaviest on guaranteed day.This may seem like the plot of a sci-fi film, however ongoing discoveries recommend that this likely could be a beneficial practice.Why? Arising contemplates show that air contamination is connected to disabled judgment, emotional well-being issues, more unfortunate execution in school and most worryingly maybe, more elevated levels of crime.These discoveries are largely the really disturbing, given that more than a big part of the total populace now live in metropolitan conditions – and a greater amount of us are going in blocked regions than any time in recent memory. However, perhaps, he thought, there could be other unfavorable impacts on our lives.To start with, he led an investigation seeing whether air contamination had an impact in psychological performance.Roth and his group saw understudies taking tests on various days – and furthermore estimated how much contamination was noticeable all around on those given days. Indeed, even a couple days prior and a couple of days after, they discovered no impact – it's truly upon the arrival of the test that the grade diminished altogether. To decide the drawn out impacts, Roth followed up to perceive what affect this had eight to 10 years after the fact. In this way, he daid that regardless of whether it's a present moment impact of air contamination, on the off chance that it happens in a basic period of life it truly can have a drawn out impact. In 2018 examination, his group broke down two years of wrongdoing information from more than 600 of London's discretionary wards, and tracked down that more insignificant violations happened on the most dirtied days, in both rich and poor areas.Although we ought to be careful about reaching determinations about connections, for example, these, the creators have seen some proof that there is a causal link.Wherever the haze of contamination ventures, wrongdoing increments. As a feature of a similar report, they thought about unmistakable regions over the long haul, just as following degrees of contamination over the long haul. This implies that an intercession at an early age ought to be a priority.Exposure to different poisons can cause aggravation in the cerebrum. There are numerous potential components that may clarify how air contamination influences our morality.Lu, for example, has shown that the simple considered contamination can impact our brain science through its negative associations.Naturally, the scientists couldn't truly uncover members with contamination, so they took the following best (morally supported) venture so they asked them to truly envision living around here, and how they would feel and how their life would be living in this climate, to make them mentally experience air contamination versus a perfect climate. He tracked down that the member's tension expanded, and they became more self-focussed – two reactions that could increment forceful and flippant practices. Along these lines, by raising people groups' tension, air contamination can detrimentally affect conduct. at the point when we are restless we are bound to punch somebody in the face, than when we are quiet. Lead analyst Joanne Newbury, from King's College London, says she can't however guarantee that her outcomes are causal, yet the discoveries are in accordance with different investigations proposing a interface between air contamination and psychological wellness. "It adds to confirm connecting air contamination to actual medical conditions and air contamination connect to dementia.

two objects and recorded whether or not the dog being tested correctly chose the object indicated. A four-year-old male beagle named Augie participated in this study. He chose the correct object 42 out of 70 times when the experimenter leaned towards the correct object. (a) (2 points) Let the parameter of interest, π, represent the probability that the long-run probability that Augie chooses correctly. Researches are interested to see if Augie understands human body cues (better than gussing). Fill in the blanks for the null and alternative hypotheses. H0 : Ha : (b) (6 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 10%? (If you use an applet, please specify which applet you use, and the inputs.) (c) (5 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 5%? (If you use an applet, please specify which applet you use, and the inputs.) (d) (2 points) Are your conclusions from part (b) and (c) the same? If they are different, please provide an explanation. (e) (5 points) Shown below is a dotplot from a simulation of 100 sample proportions under the assump- tion that the long-run probability that Augie chooses correct is 0.50. Based on this dotplot, would a 90% confidence interval for π contain the value 0.5? Explain your answer. (f) (4 points) Compute the standard error of the sample proportion of times that Augie chose the object correctly. 1 (g) (5 points) (h) (3 points) question? (i) (4 points) (j) (4 points) A. B. C. Construct an approximate 95% confidence interval for π using the 2SD method. What is the margin of error of the confidence interval that you found in the previous How would you interpret the confidence interval that you found in part (g)? Which of the following is a correct interpretation of the 95% confidence level? If Augie repeats this process many times, then about 95% of the intervals produced will capture the true proportion of times of choosing the correct objective. About 95% times Augie chooses the correct objective. If Augie repeats this process and constructs 20 intervals from separate independent sam- ples, we can expect about 19 of those intervals to contain the true proportion Augie chooses the correct objective. (k) (4 points) object 21 out of 35 times. Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval. The center of the confidence interval would . The width of the confidence interval would . (l) (4 points) Suppose that we repeated the same study with Augie, and this time he chose the correct object 17 out of 35 times, and we also change the confidence level from 95% to 99%. Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval. Suppose that we repeated the same study with Augie, and this time he chose the correct The center of the confidence interval would The width of the confidence interval would . .

Since he became the president, did President Trump act with the transparency and the integrity that you expect from a president?” 675 voters responded the poll and 351 responded “YES.” Assume that 40% of the U.S. population supports Trump. a. Define a binary random variable, Y, for supporting Trump (Y=1) vs. not (Y=0). Calculate the population mean (????????) and variance (???????? 2 ) for supporting Trump. b. Calculate the sample mean ????̅ and the sample standard deviation of ????̅ (????????̅ ) for the poll. c. Calculate the standard error of ????̅ and construct a 95% confidence interval from the poll using ????̅ and its sample standard error. d. Conduct a two-sided hypothesis test at 5% significance level to determine whether 40% of the U.S. population supports Trump. State the null and the alternative hypotheses, calculate the test statistics and the associated p-value, and conclude. Is the Fox News survey reliable? Why? Why Not? e. Suppose that you wanted to design a survey that had a margin of error of at most 1%. That is: the difference between the upper bound and the lower bound of the confidence interval should be a maximum of 2 percentage points. For example, for ????̅ = 0.52 you are aiming for the 95 % CI to be [0.51 0.53]. How large should n be if the survey uses simple random sampling?

he National Center for Health Statistics reports that the mean systolic blood pressure for males 35 to 44 years of age is 128 and the standard deviation in this population is 15. The medical director of a company looks at the medical records of 72 company executives in this age group and finds that the mean systolic blood pressure in this sample is X = 126.07. Is this evidence that executive blood pressures differ from the national average? Conduct a hypothesis test to answer this question using α = 0.05.