5b.STATISTICAL INFERENCE Let X to be a random sample from a distribution with a probability density function given byf(x; 0) =(0x0-1.0,,if 0 < x < 1, 0 € {1,2},elsewhereIt is desired to test a null hypothesis Hå:0 = 1 against the alternative hypothesis H₁:0 = 2.Suppose that the test rejects H₁ if x ≥ 3.i) Calculate the power of the test.

Answered: Let X to be a random sample from a…

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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Smoking 2009, women and men In Exercise 2, we ex-amined the percentage of men aged 18–24 who smoked from 1965 to 2009 according to the Centers for DiseaseControl and Prevention. How about women? Here’s ascatterplot showing the corresponding percentages forboth men and women:a) In what ways are the trends in smoking behaviorsimilar for men and women?b) How do the smoking rates for women differ fromthose for men?c) Viewed alone, the trend for men may have seemed toviolate the Linearity Condition. How about the trendfor women? Does the consistency of the two patternsencourage you to think that a linear model for thetrend in men might be appropriate? (Note: there is nocorrect answer to this question; it is raised for you tothink about.)
Aspirin III: Decision and Conclusion Regarding the experiment in the data frame Aspirin from the abd package, the researchers wanted to know whether or not taking aspirin affects one's risk of developing cancer. Recall that they defined their parameters as follows: p1 = the proportion of ALL individuals who would develop cancer, if all of them were to take aspirin like the subjects in the Aspirin group did. p2 = the proportion of ALL individuals who would develop cancer, if all of them were to take a placebo, like the subjects in the placebo group did. They ran the code for a two-sided significance test and got the following results: ## ## ## Inferential Procedures for the Difference of Two Proportions p1-p2:## cancer grouped by treatment ## ## ## Descriptive Results:## ## yes n estimated.prop## Aspirin 1438 19934 0.07214## Placebo 1427 19942 0.07156## ## ## Inferential Results:## ## Estimate of p1-p2: 0.0005805 ## SE(p1.hat - p2.hat): 0.002586 ## ##…
Tip at least 20% Tip less than 20% Works or worked in service industry 22 5 Never worked in service industry 36 8 Find P(individual has worked a service industry job) (2) Find P(individual either has never worked in the service industry or tips less than 20%) (4) Find P(individual has never worked in the service industry and tips less than 20%) (4) Find P(Tipping at least 20% | Service industry worker) (4) Find P(Two people both tip at least 20%)
Question 1c needed
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Hypothesis Testing Question: Is there a statistically significant difference between the proportion of citizens in the United States and Japan without underlying health conditions who have been hospitalized after a COVID-19 diagnosis? The proportion of Americans and Japanese from nationally representative samples of adult citizens from each country who have been hospitalized for one or more days due to COVID-10 infection is reported below. Please include all steps of the five step model and write a sentence or two interpreting your results (use p= .01, Z(critical) = ± 2.58). Americans Japanese Ps1 = .07 Ps2 = .04 N1 = 1325 N2 = 1287
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Example: Independent t-Test ● A group of 30 people jump into the Atlantic. Their temperature is taken immediately when they get out of the water (mean = 96.3). At the same time, the temperatures of 30 random people waiting on the beach are also taken (mean = 98.4). Do the two groups significantly differ? ● a) What hypothesis test? ● b) Assumptions? (pretend they've all been met) c) Hypotheses? ● ● d) If SE= .6, what is the test statistic? ● e) df=?, Critical value=2.000 f) Conclusion? g) 95% Cl of the drop in temperature? ● ●
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Cost of shopping Do consumers spend more on a trip toWalmart or Target? Suppose researchers interested in thisquestion collected a systematic sample from 85 Walmartcustomers and 80 Target customers by asking customersfor their purchase amount as they left the stores. The datacollected is summarized in the table below.To perform inference on these two samples, what condi-tions must be met? Are they? Explain. Walmart Targetn 85 80y $45 $53s $21 $19

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