The US Department of Energy reported that 52% of homes were heated by natural gas. A random sample of300 homes in Oregon found that 168 were heated by natural gas. Test the claim that proportion of homesin Oregon that were heated by natural gas is different than what was reported. Use a 5% significancelevel. Give answer to at least 4 decimal places.a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)Ho: Pb. Test Statistic = -2.8938 XH₁: pBased on the hypotheses, compute the following:c. p-value=V= 0.0038 X0°#V0.520.52✓d. Based on the above we choose to Fail to reject the null hypothesis ✓00e. The correct summary would be: There is not enough evidence to support the claim o that theproportion of homes in Oregon that were heated by natural gas is different than what the DOE reportedvalue of 52%. The National Institute of Mental Health published an article stating that in any one-year period,approximately 9.2% of American adults suffer from depression or a depressive illness. Suppose that in asurvey of 2000 people in a certain city, 11.6% of them suffered from depression or a depressive illness.Conduct a hypothesis test to determine if the true proportion of people in that city suffering fromdepression or a depressive illness is more than the 9.2% in the general adult American population. Test therelevant hypotheses using a 10% level of significance. Give answer to at least 4 decimal places.a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)Ho: PH₁: pb. Based on the hypotheses, find the following:c. Test Statistic = 8.016 X0° 0.092d. p-value = 00.092e. Based on the above we choose to Reject the null hypothesisOBOTf. The correct summary would be: There is enough evidence to support the claimo that the trueproportion of people in that city suffering from depression or a depressive illness is more than the percentin the general adult American population of 9.2%.

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Answered: The US Department of Energy reported…

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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1. Find the percentage of N.d. observations with a zz-score between z1= -3.04 and z2 = 2.85. Give your answer to two decimal places. 2. Find the proportion of N.d. observations with a zz-score between z1= -2.95 and z2 = 0.70. Give your answer to four decimal places.
A scale is known to be "low-calibrated" in that it measures an aluminum bar to be 4 grams lower than the actual weight. If ????μold is the mean of all possible measurements of the bar using the old calibration, and ????μnew is the mean of all possible measurements of the bar using a re-calibrated scale. It is desired that ????−????=4μnew−μold=4. Consider the test ?0:????−????=4H0:μnew−μold=4 vs. ?0:????−????≠4H0:μnew−μold≠4 Sample after calibration: mean is 95.8 , SD is 4.9 and sample size is 10 Sample before calibration: mean is 89.352 , SD is 4.2 and sample size is 62 We do not know population standard deviations. What is the p-value? (Hint: best to use software, or else the Desmos Calculator for the 2 sample T and Z test)
90%
You conduct a cross-sectional study of 850 patients to test a new screening tool for diabetes. In addition to your screening tool, you administer an HbA1c test to diagnose diabetes. 412 patients had diabetes; 43 of those people had false negative screens. 850-412 patients did not have diabetes; 60 had false positives. Calculate the sensitivity of this test. Report your results as a percentage with no decimals and do not include a percentage sign. Your Answer:
A college administrator wants to know if there is a significant difference between sexual orientation and level of family support for students at their college. The administrator takes a random sample of students who identify as gay/lesbian, bisexual or heterosexual/straight. There were 22 students sampled in each category. A measure of family support is given with higher scores indicating more family support. The means are as follows: Gay/lesbian Bisexual Heterosexual/Straight MG/L = 16 MBi = 17 MH/S = 22 Source SS df MS F Orientation 300 Error 2961 Total What is the value of df total?
A researcher wants to determine the sensitivity of mammograms to determine how effective they are at diagnosing women who have breast cancer. Assume the researcher obtained the above results from a study, calculate and interpret the sensitivity of mammograms for detecting breast cancer. Frequency of Breast Cancer Cases Frequency of Non-Cancer Cases Frequency of Individuals Who Screened Positive 17 5 Frequency of Individuals Who Screened Negative 8 77 Group of answer choices: a. A total of 66.67% of individuals who have breast cancer test positive for breast cancer when using a mammogram as the primary diagnostic test for breast cancer. b. A total of 68% of individuals who have breast cancer test positive for breast cancer when using a mammogram as the primary diagnostic test for breast cancer. c. A total of 70.59% of individuals who have breast cancer test positive for breast cancer when using a mammogram as the primary diagnostic test for breast cancer. d. A total of…
None
The EPA tests cars for city miles per gallon (mpg). For one model, a sample of 16 cars were tested for mpg, the results follow. 28 25.7 25.8 28 28.5 29.8 30.2 30.4 26.9 28.3 29.8 27.2 26.7 27.7 29.5 28 1) What is point estimate of the mean mpg?
researchers wanted to determine if carpeted rooms contained more baterica than uncapted rooms. to determine the amount of bacterica in a room reseachers pumpled the air from the room over a petri dish at the rate of 1 cubic foot per minute for eight carpeted rooms and eight uncaprted rooms. colonies of baterica were alled to form in 16 petri dishes. the results shown below are the baterica counta per cubic foot mean standard deviation sample size capeted room 11.2 2.6774 8 uncapted room 9.7875 3.21 8 you want ti test using sigificance level of 0.01 whether the mean bactiria count is high for carpeted rooms than for uncapteed rooms. test whether the mean bacteria count is high for carpeted rooms thatn uncarpeted rooms. show all steps using the p value method. what is Ho and H1? what is the test statsic and p value? what conclusion can be made?
You want to compare differences in prior arrests across ethnicity in your study, you measured ethnicity as white =0 black =1 hispanic=2, and other =3. Prior arrests was recorded as the number of prior arrests. which test would you perform to see if arrests differ across diffrent ethnic categories? A. ANOVA B. T-test
Periodically, the county Water Department tests the drinking water of homeowners for contaminants such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a sample of 10 residents of a subdevelopement of the county are shown below. lead (μμg/L) copper (mg/L) 4.4 0.643 2.4 0.57 1.5 0.46 2.6 0.895 5.9 0.2 3.4 0.54 3.8 0.245 1.6 0.583 5.7 0.769 1.7 0.215 (a) Construct a 9999% confidence interval for the mean lead level in water specimans of the subdevelopment. ≤μ≤

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