A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 67 seniors reported using drugs or alcohol within the past month, while 60 national seniors reported using them. Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 67 seniors reported using drugs or alcohol within the past month, while 60 national seniors reported using them. Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Name: O Part (d)State the distribution to use for the test. (Round your ans
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Description: O Part (d)State the distribution to use for the test. (Round your answers to four decimal places.)× )P'jocal- N0.04000.0047- P'nationalO Part (e)What is the test statistic? (If using the z distribution round your answer to two decimal places, and if

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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A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 66 seniors reported using drugs or alcohol within the past month, while 62 national seniors reported using them. Conduct a hypothesis test at the 5% level. State the distribution to use for the test. What is the p-value?
Thirty-seven percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the popluation proportion of St. Paulites who drink bottled water more than once a week is 0.37, the same as the overall proportion of Americans who drink bottled water more than once a week. Use z-table. a. Suppose you select a sample of 540 St.Paulites. Show the sampling distribution of (to 4 decimals).E(p) = __________σ = _________ b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.01 of the population proportion (to 4 decimals).probability = _________ c. Suppose you select a sample of 150 St.Paulites. Show the sampling distribution of p (to 4…
Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1,200 people under 20 years old who were eligible to have a driver's license in 1995 and again in 2016.
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.
Dr. Guidry conducts a study examining the relationship between the number of friends one has and the experience of daily stress and life satisfaction. She randomly samples 1,500 elderly men and women in Nashville, Tennessee (the state capital), located in the southern United States. Below are her findings.• Life satisfaction and experience of daily stress: r = .57 (p = .01)• Number of friends one has and experience of daily stress: r = .09, not sig.• Number of friends one has and life satisfaction: r = .36 (p = .04) Which of the following conclusions can Dr. Guidry draw about the number of friends one has and life satisfaction based on her statistical analyses? a. The probability of her sample coming from a zero association population is about 4%. (correct answer) b. The probability of her sample coming from a zero association population is about 96%. c. The relationship is not statistically significant. d. The strong correlation means that the number of friends one has causes an…
several years ago, the Gallup Organization conducted a random survey of 1018 adults aged 18 or older living in the United States and asked if you had $1000 to spend. Do you think investing it in the stock market would be a good idea? The Gallup study concluded that 54% of those surveyed said they thought investing in the stock. Market was a good idea. A statician would like to take a random sample of 200 of those 1018 adults and ask them the same question again to see if people change their minds over time. Based on the Gallup survey a statician specs that 54% of their sample will say that investing $1000 in the stock market would be a good idea give or take 2.1% find the chance as a percentage that institutions random sample 51% or more of them would say that investing $1000 in the stock market is a good idea write your answer as a percentage.
Sleep apnea is a condition in which the sufferers stop breathing momentarily while they are asleep. This condition results in lack of sleep and extreme fatigue during waking hours. A current estimate is that 11.911.9 million out of the 312.7312.7 million Americans suffer from sleep apnea, or approximately 3.8%3.8%. A safety commission is concerned about the percentage of commercial truck drivers who suffer from sleep apnea. They do not have any reason to believe that it would be higher or lower than the population’s percentage. To test the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.8%3.8%, a simple random sample of 347347 commercial truck drivers is examined by a medical expert, who concludes that 66 suffer from sleep apnea. Does this evidence support the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.8%3.8%? Use a 0.020.02 level of significance. Step 3 of 4 : Find the p-value. Round…
Does the type of instruction in a college statistics class (either lecture or self-paced) influence students’ performance, as measured by the number of quizzes successfully completed during the semester? Twelve students were recruited for the study. Students received the lecture instruction or a self-paced instruction. The total number of quizzes completed during teach type of instruction appear below.
A contributor for the local newspaper is writing an article for the weekly fitness section. To prepare for the story, she conducts a study to compare the exercise habits of people who exercise in the morning to the exercise habits of people who work out in the afternoon or evening. She selects three different health centers from which to draw her samples. The 56 people she sampled who work out in the morning have a mean of 4.4 hours of exercise each week. The 63 people surveyed who exercise in the afternoon or evening have a mean of 4.2 hours of exercise each week. Assume that the weekly exercise times have a population standard deviation of 0.8 hours for people who exercise in the morning and 0.7 hours for people who exercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in the afternoon or evening. Step 1 of 2: Construct a 99% confidence interval for the true difference between the mean amounts of…
A restaurant chain would like to measure the proportion of customers who are generally satisfied with the service provided by its staff. At the end of the meal, as the check is delivered to the table, the server asks those at the table to rate their satisfaction with the service provided as "Very Satisfied," "Satisfied," or "Not Satisfied." During a one- week period, 147 customers were surveyed and 135 (93%) reported they were either Satisfied or Very Satisfied. How might the results be biased in obtaining an estimate of all customers who are satisfied with service? O Because of response bias, the survey results may overestimate the true proportion of satisfied customers. O Because of response bias, the survey results may underestimate the true proportion of satisfied customers. O Because of voluntary response bias, the survey results may overestimate the true proportion of satisfied customers. O Because customers were surveyed overa one-week period, the results should provide an…
Last year, 41% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 32% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 55 business owners. Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to determine whether the proportion of business owners providing holiday gifts had decreased from last year. State the hypotheses.
Conduct a hypothesis test at the 5% level of significance to determine if the average salary of males is higher than that of female employees. Remember to state your hypothesis.