Test statistics and their degrees of freedom

Assignment Help Basic Statistics
Reference no: EM131062023

We want to study the distribution of sleep deprivation for people affected by 3 distinct diseases. Random samples of affected subjects of sizes 80, 70 and 60 from disease 1, 2 and 3, respectively were obtained. The results are shown in the following table.

 

Very severe

Severe

Mild

None

 

Disease 1

10

7

30

33

80

Disease 2

7

13

20

30

70

Disease 3

5

6

15

34

60

For all subsequent parts state the null and alternative hypothesis, write down the test statistics and their degrees of freedom, calculate the test statistics, find the p-values and give interpretations.

a) Test the hypothesis that the proportions of subjects affected by Disease 3 that experience very severe, severe, mild and no sleep deprivation are (0.1, 0.1, 0.3, 0.5) (i.e the distribution of sleep deprivation for subjects affected by Disease 3 is multinomial with probabilities (0.1, 0.1, 0.3, 0.5)). Use R to confirm your result (need chisq.test() command).

b) Test the hypothesis that the proportions of subjects that experience very severe, severe, mild and no sleep deprivation are (0.1, 0.1, 0.3, 0.5) for all three diseases (i.e. the distributions of sleep deprivation are completely specified multinomial with probabilities (0.1, 0.1, 0.3, 0.5)).

c) Test the hypothesis that the proportions of subjects that experience very severe, severe, mild and no sleep deprivation are the same for all three diseases (i.e the distributions of sleep deprivation are multinomial with the same unspecified probabilities).

Reference no: EM131062023

Questions Cloud

Diabetes patients across the medical practices : A medical social researcher wishes to investigate the proportion of Type II diabetic patients in a given country town who take insulin to manage their diabetes. A random sample of 120 Type II diabetes patients across the medical practices in the t..
Summarize history and background of the muslim brotherhood : Egypt was embroiled in a citizen-led political revolution for much of 2011. Long-time Egyptian president Hosni Mubarak has been one of the United States' strongest allies. Mubarak was forced to resign from his post because of political uprising.
Determine the tension in each portion of the rope : The block and tackle shown are used to raise a 150-lb load. Each of the 3-in.-diameter pulleys rotates on a 0.5-in.-diameter axle.
Determine the tension in each portion of the rope : determine the tension in each portion of the rope
Test statistics and their degrees of freedom : For all subsequent parts state the null and alternative hypothesis, write down the test statistics and their degrees of freedom, calculate the test statistics, find the p-values and give interpretations.
Determine the horizontal force required to start car moving : to keep the car moving at a constant speed. Neglect rolling resistance between the wheels and the track.
Determine the force p required to start the lever : A lever AB of negligible weight is loosely fitted onto a 2.5-in.-diameter fixed shaft. Knowing that the coefficient of static friction between the fixed shaft and the lever is 0.15, determine the force P required to start the lever rotating counte..
Prepare a detailed budget to implement your proposed design : Prepare a report and state the additional amount of money that is needed for the changes you have made to meet the additional requirements. Refer to the given price list in the Appendix.
Write a routine inquiry designed to glean information : Write a Routine Inquiry designed to glean information that you need via relevant, specific questions - Evaluate the information provided above, and determine what other factors you would need to know before booking your company's retreat at this ve..

Reviews

Write a Review

 

Basic Statistics Questions & Answers

  A ball is dropped and lands randomly on a square with

a ball is dropped and lands randomly on a square with length 1 meter.a find the expected distance from the nearest edge

  Let x be the amount of time in minutes that a particular

let x be the amount of time in minutes that a particular san francisco commuter must wait for a bart train. suppose

  Assuming that the distribution is normal for weight

assuming that the distribution is normal for weight relative to the ideal and 99 of the male participants scored

  Random sample of eight adults

A random sample of eight adults aged 30 years were asked how much they spent on medical costs in the year 2011. The following data were measured.

  Scatter diagram for best small companies

A recent article in Business Week listed the "Best Small Companies." We are interested in the current results of the companies' sales and earnings.

  Scores on an endurance test for cardiac patients are

scores on an endurance test for cardiac patients are normally distributed with mean 200 and standard deviation 30.a

  What should be the maximum allowable weight

If we want a 0.99 probability that the elevator will not be overloaded whenever 8 members are randomly selected as passengers, what should be the maximum allowable weight?

  Find interpret the meaning ofthe y intercept,b0

Fittinga straight line to a set of data yields the following prediction line- yi= 2 + 5Xi

  Salary equity between the genders

What other information would you like to know to answer the question about salary equity between the genders? Why?

  Out of the 100 students with low math skills 30 had high

a researcher would like to know whether there is a consistent predictable relationship between verbal skills and math

  Result the region of probability using normal curve

Use the continuity correction and describe the region of normal curve that corresponds to the indicated binomial probability. The probability of more than 50 right answers.

  Formulate hypotheses that can be used to determine whether

the national mean annual salary for a school administrator is 90000 a year. a school official took a sample of 25

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd