c) Suppose that the results of carrying out the hypothesis test lead to non-rejection of the nullhypothesis. Classify that conclusion by error type or as a correct decision if in fact the meanage at diagnosis of all people with early-onset dementia is less than 55 years old. Supposethat the manufacturer of a new COVID-19 vaccine in South Africa wants to test the nullhypothesis Ho: 0= 0.90 against the alternative hypothesis H₁: 0= 0.60. She defined her teststatistic Y as a number of patients recovered from COVID-19 after an observed twenty trials.If she decided to accept Ho and assume y > 14,i) What will be her Type I error and the power of the test.(C.ii) Explain how the probability of Type II error can be reduced in this case and how it will affectType I error. Give a practical example.2)

Answered: Image /qna-images/answer/d538ee8c-f09e-47f4-9cc8-ff696c89914d.jpg

Answered: c) Suppose that the results of carrying…

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 researcher hypothesizes that Drug A is more effective than Drug B. In conducting an analysis to test this hypothesis, how should the null hypothesis be stated?
A hospital claims that the mean wait time for emergency room patients is more than 38 minutes. Identify the null hypothesis Ho, and the alternate hypothesis Ha in terms of the parameter
Is there a significant difference in the unemployment rates among Hispanic and white adults in the state of Texas? Based on data collected by the Texas Workforce Commission, 4.6% of 640 randomly selected Hispanic adults are unemployed while 2.8% of 780 randomly selected white adults are unemployed. Does this data provide statistically significant evidence that there is a difference in the unemployment rates between the two groups? a) State the null hypothesis (H0) and the alternative hypothesis (Ha ) for the significance test and the conditions b) assume the conditions are satisfied, identify the test statistic (z or t?) to be used, and show the formula for the test statistic, and enter the appropriate values in the formula. (don’t calculate the test statistic here.) c) Assume that the standard error of the differences in proportions is SE = 0.00995. Using this SE, calculate the value of the test statistic (which you set up in part (b) and find the p-value d) Using a significance…
It has been claimed that more than 40 percent of allshoppers can identify a highly advertised trademark. If, in a random sample, 10 of 18 shoppers were able to iden-tify the trademark, test at the 0.05 level of significance whether the null hypothesis θ = 0.40 can be rejectedagainst the alternative hypothesis θ > 0.40.
When is a researcher at risk of making a type 2 error? whenever H0 is rejected whenever H1 is rejected whenever H0 fails to reject the risk of a type 2 is independent of the decision from a hypothesis test
In the past, the mean running time for a certain type of flashlight battery has been 9.6 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has decreased as a result. A hypothesis test is to be performed. Determine the null and alternative hypotheses. A. H0: µ ¥ 9.6 hours and H1: µ = 9.6 hours B. H0: µ = 9.6 hours and H1: µ ¥ 9.6 hours C. H0: µ = 9.6 hours and H1: µ > 9.6 hours D. H0: µ = 9.6 hours and H1: µ < 9.6 hours
If, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.2047 and ZSTAT=+0.82, what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision?
The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.1% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 10.5% 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 from depression or a depressive illness is more than the 9.1% in the general adult American population. Test the relevant hypotheses using a 1% 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.) H0: H1: b. Based on the hypotheses, find the following: c. Test Statistic = d. p-value = e. Based on the above we choose to f. The correct summary would be:
12) The personnel director for a small firm thinks that employees may be more likely to use sick days on Monday and Friday resulting in three-day weeks. a) What is the appropriate null and alternate hypothesis to determine if sick day absences depend on day of the week? b) The personnel director obtains sick day data for the past year and summarizes the number of absences by day of the week in the table below. Use JMP software to test the hypothesis of part a) c) Using alpha = 0.05, draw a conclusion for the hypothesis test and state the conclusion in the context of the problem. Day of Week Absences Monday 126 Tuesday 74 Wednesday 91 Thursday 82 Friday 115
A researcher notes that there seems to be a difference in the prevalence of individuals who are medication adherent and have high levels of education along with a high health literacy and the prevalence of individuals who are not medication adherent and have low levels of education along with a low health literacy. Use the appropriate hypothesis to determine if education level and health literacy status are related (independent) at the 5%. Low Level of Education Low Medication Adherence High Medication Adherence Total Low Health Literacy 91 9 100 High Health Literacy 9 291 300 Total 100 300 400 High Level of Education Low Medication Adherence High Medication Adherence Total Low Health Literacy 96 4 100 High Health Literacy 4 296 300 Total 100 300 400
A doctor claims that less than 30 percent of all per-sons exposed to a certain amount of radiation will feel any ill effects. If, in a random sample, only 1 of 19 per-sons exposed to such radiation felt any ill effects, test the null hypothesis θ = 0.30 against the alternative hypothe-sis θ < 0.30 at the 0.05 level of significance.
What is the p-value if, in a two-tail hypothesis test, ZSTAT=+1.16? p-value=

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