In addition to being asked about the quality of their sleep the night before the interview, surveyrespondents were asked if they felt ill with headaches, felt ill with allergies, or felt ill with a cold theday before the interview. Gallup provided the following graph based on the responses.Did you experience the following feelings during a lot of the day yesterday?Percent reporting "fair" or "poor" sleep night before● Yes, experienced illness the day prior No, did not experience illness the day prior46%I29%Headaches37%32%AllergiesThis graph representsO The conditional distribution of illness experience, given sleep qualityO The joint distribution of sleep quality and mental health stateO The marginal distribution of illness experienceO The conditional distribution of sleep quality, given illness experienceO The marginal distribution of sleep quality38%33%ColdWhich is a correct interpretation based on this graph?O Respondents who experienced headaches during the day were substantially more likely toreport fair or poor sleep at night than respondents who did not experience headaches (46% vs29%).O Respondents who reported fair or poor sleep at night were substantially more likely to haveexperienced headaches during the day than respondents who did not report fair or poor sleep(46% vs 29%).O Respondents who reported fair or poor sleep at night were substantially more likely to haveexperienced headaches than to not have experienced headaches during the day (46% vs 29%).

On the basis of graph given we have to answer the questions.

Answered: 46% 29% Headaches 37% 32% Allergies 38%…

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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You are interested in comparing sleep habits of elementary school children. Suppose you have agroup of eighth graders. You asked them in July to estimate about how many hours of sleep they get pernight, on average. You asked those same individuals the same question again in November, during theschool year. Which is the most appropriate test to use?
Pregnant women are screened for a birth defect called Down syndrome. Down syndrome babies are mentally and physically challenged. Some mothers choose to abort the fetus when they are certain that their baby will be born with the syndrome. The most common screening is maternal serum screening, a blood test that looks for markers in the blood to indicate whether the birth defect may occur. The false-positive and false-negative rates vary according to the age of the mother. Mother’s Age False-Positive Rate False-Negative RateUnder 30 0.040 0.37630-34 0.082 0.29035-37 0.178 0.269Over 38 0.343 0.029 The probability that a baby has Down syndrome is primarily a function of the mother’s age. The probabilities are listed here. Age Probability of Down Syndrome25 1/130030 1/90035 1/35040 1/10045 1/2549 1/12 For each of the age 25, 30, 35, 40, 45 and 49, determine the probability of Down syndrome if the maternity serum screening produces a…
2 proportion z-test 3. In a study done in Michigan, it was determined 38 (out of 62) poor children who attended pre-school needed social services later in life compared to 49 (out of 61) poor children who did not attend preschool. Does this study provide significant evidence that preschool reduces the need for social services later in life? 4. A drug company creates a medicine designed to prevent colds, and states that it is equally effective for men and women. To test this claim, they give the medicine to 100 men and 200 women. At the end of the study, 33 men and 95 women caught a cold. Can we say that the drug is equally effective for men and women? (Use a =
Green Tea and Prostate Cancer A preliminary study suggests a benefit from green tea for those at risk of prostate cancer. The study involved 60 men with PIN lesions, some of which turn into prostate cancer. Half the men, randomly determined, were given 600 mg a day of a green tea extract while the other half were given a placebo. The study was double-blind, and the results after one year are shown in the table below. Treatment Cancer No Cancer Green Tea 1 29 Placebo 9 21 (a) Test at a 5% significant level to see if the sample provide evidence that taking green tea extract reduces the risk of developing prostate cancer. (b) Find 98% confidence interval for the difference between two population proportions of men with PIN lesions who get prostate cancer after taking green tea extract and after taking placebo for a year. Interpret the C.I. result.
How many false positives were there? Explain the consequences of a false positive for the person tested.
??
333
Previous Problem List Next Among drivers who have had a car crash in the last year, 280 were randomly selected and categorized by age, with the results listed in the table below. Age Under 25 25-44 45-64 Over 64 Drivers If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, 13% of the subjects, respectively. At the 0.025 significance level, test the claim that the distribution of crashes conforms to the distribution of ages. 107 65 40 68 The test statistic is x? = The critical value is x = The conclusion is O A. There is not sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distibuion of ages. OB. There is sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distibuion of ages.
2 proportion z-test 3. In a study done in Michigan, it was determined 38 (out of 62) poor children who attended pre-school needed social services later in life compared to 49 (out of 61) poor children who did not attend preschool. Does this study provide significant evidence that preschool reduces the need for social services later in life?
An article claims that 70% of adults over 50 take vitamin supplements. To test this claim, you take a sample and do your math. Based on your results, you end up rejecting the claim. Later it turns out that the claim was in fact correct. What type of error did you make, if any? No error was made. A type II error A type I error

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46% 29% Headaches 37% 32% Allergies 38% 33% Cold