A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 266 had BMIS of less than 25, 158 had BMIs that were at least 25 but less than 30, and 121 hadBMIS exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese?USE SALT(a) State the appropriate hypotheses with a significance level of 0.05.ⒸH: P = 0.20H₂: P = 0.20O Ho: P = 0.20H₂: P >0.20O Ho: P = 0.20H₁₂: P < 0.20Ho: p > 0.20H₂: P = 0.20Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)z =P-value =What can you conclude?O Reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese.O Do not reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese.O Do not rejectnull hypothesis. There iient evidencmore than 20% of the population ofworkers is obese.O Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese.(b) Explain in the context of this scenario what constitutes type I error.O A type I error would be declaring that 20% or less of the population of female workers is obese, when in fact more than 20% are actually obese.O A type I error would be declaring that 20% or more of the population of female workers is obese, when in fact less than 20% are actually obese.ⒸA type I error would be declaring that less than 20% of the population of female workers is obese, when in fact 20% or more are actually obese.O A type I error would be declaring that more than 20% of the population of female workers is obese, when in fact 20% or less are actually obese.Explain in the context of this scenario what constitutes type II error.O A type II error would be declaring that 20% or less of the population of female workers is obese, when in fact more than 20% are actually obese.O A type II error would be declaring that 20% or more of the population of female workers is obese, when in fact less than 20% are actually obese.O A type II error would be declaring that less than 20% of the population of female workers is obese, when in fact 20% or more are actually obese.O A type II error would be declaring that more than 20% of the population of female workers is obese, when in fact 20% or less are actually obese.(c) What is the probability of not concluding that more than 20% of the population is obese when the actual percentage of obese individuals is 24%? (Round your answer to four decimal places.)

From given data we have : n=266+158+121=545 Number of individuals in the sample with BMI 30 or more…

Answered: A common characterization of obese…

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 common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 268 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 123 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (c) What is the probability of not concluding that more than 20% of the population is obese when the actual percentage of obese individuals is 26%? (Round your answer to four decimal places.)
It was reported that only one job vacancy was available for three recent college graduates. The main reason is that there is an excess of college graduates and a weak national economy. A survey of 100 recent graduates from your college reveals that 60 graduates have found work. At the 0.05 level of significance, can we conclude that the proportion of graduates who have found employment is greater?
Rosner analyzed data from children who lived near a lead smelter (which is a facility that uses extreme heat to extract the metal lead from lead ore) in El Paso, Texas, and reported that out of 124 children studied, 23 developed colic (which is a pattern of fussiness and crying for no apparent reason). Suppose that in the state of Taxes in general at the time (early 1980s), the rate of colic in children was 16.0%. Follow the steps for testing whether the proportion of children developing clico was significantly different for the 124 children living near the lead smelter than for Taxes children in general (16%). Use alpha level of 0.03 a. Identify the null hypothesis for this statistical test. b. Identify the alternative hypotheses for this statistical test. c. Explain: Why should this be a two-tailed test, the way I have described it? d. calculate the sample proportion p̂, rounded to three decimal places. e. Calculate the appropriate test statistic, show all work. f. Based on…
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A hospital reported that the regular death rate for patients with extensive burns has beensignificantly reduced by the use of new fluid plasma compresses. Before the new treatment, themortality rate for extensive burn patients was about 60%. Using the new compresses, the hospitalfound that 40 out of 88 (45.45%) patients with extensive burns died. Use a 1% level of significanceto test the claim that the mortality rate has dropped and clearly state your conclusion.
According to the National Health and Nutrition Examination Survey (NHANES) sponsored by the U.S. government, a random sample of 712 males between 20 and 29 years of age and a random sample of 1,001 males over the age of 75 were chosen and the weight of each of the males were recorded (in kg). Do the data provide evidence that the younger male population weighs more (on average) than the older male population? Use “Y” for ages 20-29 and “S” for ages 75+. It was found that x̅Y=83.4, sY=18.7, x̅S=78.5, and sS=19.0. a) Is the normality condition met for this test? (see picture) No, since the histograms show skewness and outliers . Yes, since both sample sizes are larger than 30. No, since both sample sizes, nY and nS, are less than 30. Yes, since it was stated that the two populations are normally distributed. b)What are the correct degrees of freedom for this test? Group of answer choices 999 1000 1712 1711 711
According to the National Health and Nutrition Examination Survey (NHANES) sponsored by the U.S. government, a random sample of 712 males between 20 and 29 years of age and a random sample of 1,001 males over the age of 75 were chosen and the weight of each of the males were recorded (in kg). Do the data provide evidence that the younger male population weighs more (on average) than the older male population? Use “Y” for ages 20-29 and “S” for ages 75+. It was found that x̅Y=83.4, sY=18.7, x̅S=78.5, and sS=19.0. a)Suppose the test statistic is t = 2.398. What is the associated p-value? Group of answer choices 0.001 < p-value < 0.002 0.005 < p-value < 0.01 0.01 < p-value < 0.02 0.0005 < p-value < 0.001 b) Suppose the p-value is 0.02 < p-value < 0.04. At α = 0.10 what is the appropriate conclusion to make? Group of answer choices Fail to reject H0 and conclude that the mean weight of all males ages 20-29 is greater than the mean weight of all…
According to the National Health and Nutrition Examination Survey (NHANES) sponsored by the U.S. government, a random sample of 712 males between 20 and 29 years of age and a random sample of 1,001 males over the age of 75 were chosen and the weight of each of the males were recorded (in kg). Do the data provide evidence that the younger male population weighs more (on average) than the older male population? Use “Y” for ages 20-29 and “S” for ages 75+. It was found that x̅Y=83.4, sY=18.7, x̅S=78.5, and sS=19.0. A) What are the correct null and alternative hypotheses? B)What is the parameter of interest? The difference between the mean weight of all males ages 20-29 and the mean weight of all males ages 75+ The mean weight (in kg) The difference between the mean weight of the sample of males ages 20-29 and the mean weight of the sample of males ages 75+ The mean difference between the weights of males ages 20-29 and males ages 75+ c)Is the randomness condition met for…
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In a study conducted by the U.S. Department of Health and Human Services, a sample of 546 boys aged 6–11 was weighed, and it was determined that 87 of them were overweight. A sample of 508 girls aged 6–11 was also weighed, and 74 of them were overweight. Can you conclude that the proportion of boys who are overweight differs from the proportion of girls who are overweight? Please show calcul
According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To determine whether there is a difference in the proportion of shoppers who pay by check among three consecutive years at a 0.05 level of significance, the results of a survey of 500 shoppers in three consecutive years are obtained and presented below. What is the correct conclusion? There is not enough evidence that at least two of the proportions are not equal There is not enough evidence that the proportions are all different in the 3 years There is enough evidence that at least two of the proportions are not equal. There is enough evidence that the proportions are all different in the 3 years.

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