In a recent Super Bowl, a TV network predicted that 59 % of the audience would express an interest inseeing one of its forthcoming television shows. The network ran commercials for these shows during theSuper Bowl. The day after the Super Bowl, and Advertising Group sampled 80 people who saw thecommercials and found that 48 of them said they would watch one of the television shows.Suppose you are have the following null and alternative hypotheses for a test you are running:Ho: p = 0.59Ha: p0.59Calculate the test statistic, rounded to 3 decimal placesZSubmit Question

Suppose p is the true population proportion of the audience who would express an interest in seeing…

Answered: In a recent Super Bowl, a TV network…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2. Mr. Bates wants to compare the midterm scores of his students who took the course during the fall semester versus the spring semester. Here is the data: Fall 89 86 64 91 92 94 87 83 86 90 74 59 87 97 87 Spring 76 70 82 94 76 66 72 51 75 97 74 81 85 96 74 Can he say that his fall students scored better than his spring students? (Use a = .10) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:
A local school board wants to estimate the difference in the proportion of households with school-aged children that would support starting the school year a week earlier, and the proportion of households without school-aged children that would support starting the school year a week earlier. They survey a random sample of 40 households with school-aged children about whether they would support starting the school year a week earlier, and 38 households respond yes. They survey a random sample of 45 households that do not have school-aged children, and 25 respond yes. The school board plans to construct a 90% confidence interval for the difference in proportions of households who would support starting the school year a week earlier. Are the conditions for inference met? A) Yes, the conditions for inference are met. B) No, the 10% condition is not met. C) No, the randomness condition is not met. D) No, the Large Counts Condition is not met.
An instructor at a major research university occasionally teaches summer session and notices that there are often students repeating the class. Out of curiosity, she designs a random sample of students enrolled in summer sessions and counts the number repeating a class. She counts 105 students in the sample, of which 19 are repeating a class. She hypothesizes that, in general, more than10% of students repeat a course. The hypotheses to be tested are: Select one: H0:p=0.1 vs. Ha:p=0.18 H0:p=0.1 vs. Ha:p≠0.1 H0:p=0.1 vs. Ha:p>0.1 H0:p=0.1 vs. Ha:p>0.18
A report describes a survey of 500 licensed drivers. Each driver in the sample was asked if they would prefer to keep complete control of the car while driving, to use a partially self-driving car that allowed partial driver control, or to turn full control over to a driverless car. Suppose that it is reasonable to regard this sample as a random sample of licensed drivers in the United States, and that you want to use the data from this survey to decide if there is evidence that fewer than half of all licensed drivers in the United States prefer to keep complete control of the car while driving. (d) The actual sample proportion observed in the study was p̂ = 0.44. Based on this sample proportion, is there convincing evidence that fewer than 50% of licensed drivers prefer to keep complete control of the car when driving, or is the sample proportion consistent with what you would expect to see when the null hypothesis is true? Support your answer with a probability calculation. (Round…
2. We ask whether people will score higher or lower on a questionnaire of their well-being when they are exposed to sunshine compared to when they're not exposed to sunshine. A sample of 8 people is first measured after low levels of sunshine exposure and then again after high levels of exposure. We get the following pairs of scores: Low: 14 13 17 15 18 17 14 16 High: 18 12 20 19 22 19 19 16 a. State the null and alternative hypotheses. b. Using an alpha = 0.05, what is t (crit)? c. Using SPSS, calculate t (obu) (Use paired/related sample t test to obtain this info) d. What should you conclude?
A survey was undertaken to compare the educational background of several different generation. One generation of interest was the Millennials (those born after 1980). A sample of 650 Millennials was taken, and each was asked to report the highest level of completed education. It was found that 214 of those surveyed had completed a Bachelor's degree or higher. With 98% confidence, we estimate between ______% and _______% of all Millennials have completed a Bachelor's degree or higher. (After converting to percentages, round the limits of your interval to two decimal places.) A sample of 682 Gen Xers (those born between 1965 & 1980) was taken and they were asked the same question. Of this sample, 169 individuals had completed a Bachelor's degree or highter. With 98% confidence, we estimate between ______% and ______% of all Gen Xers have completed a Bachelor's degree or highter. (After converting to percentages, round the limits of your interval to two decimal places.)
I personally have used statistics in trying to challenge the reliability of drug testing results. Suppose the chance of a mistake in the taking and processing of a urine sample for a drug test is just 1 in 100. And your client has a "dirty" (i.e., positive) test result. Only a 1 in 100 chance that it could be wrong? Not necessarily. If the vast majority of all tests given-say 99 in 100-are truly clean, then you get one false dirty and one true dirty in every 100 tests, so that half of the dirty tests are false. Define the following events as: TD = TC = D = event that the person tested is actually dirty C = event that the person tested is actually clean (a) Using the information in the quote, find the values of each of the following. event that the test result is dirty event that the test result is clean (i) P(TD|D) (ii) P(TDIC) (iii) P(C) (iv) P(D) X X (b) Use the law of total probability to find P(TD). (c) Use Bayes' rule to evaluate P(C|TD). X
A poll reports that 47% of Canadians download movies on their computers.The poll has a margin of error of 4.8%, 19 times out of 20.Choose the statement that best explains what this means. Question 6 options: If you had taken another poll, there is a 95% chance that somewhere between 51.8% and 42.2% of people polled would download movies. If you had taken another poll, there is a 90% chance that somewhere between 51.8% and 42.2% of people polled would download movies. If you had taken another poll, there is a 19% chance that somewhere between 49.4% and 44.6% of people polled would download movies. If you had taken another poll, there is a 95% chance that somewhere between 49.4% and 44.6% of people polled would download movies.
An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 10 6 8 10 6 3 10 3 8 After 6 7 4 4 8 6 4 9 3 7 Copy Data Step 2 of 3:…
The local Hannaford is tracking mask compliance in their stores. In mid-March they found that only 40% of customers were wearing masks. They want to know if that percentage increased with the government mandates in place. Select the correct symbols to write the alternate hypothesis for this hypothesis test. Ha:
A pharmaceutical company has developed a new drug to help relieve acid reflux. However, as with all new drugs, there are concerns about adverse side effects. To check this, the company administers the drug to n randomly chosen people with acid reflux, and it finds that k of them experience adverse side effects. The company hopes to reject the null hypothesis that the proportion of drug-takers who experience adverse side effects is at least 0.5%. Which of the following is true? a. If n=1,250 and k=1, this is enough evidence to reject the null at the 1% level. b. If n=1,000 and k=3, this is enough evidence to reject the null at the 10% level. c. If n=4,000 and k=9, this is enough evidence to reject the null at the 1% level. d. If n=1,600 and k=4, this is enough evidence to reject the null at the 5% level.
A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.

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