--%>
Assignment Help - homework help

Calculate the p- value

Medical tests were conducted to learn about drug-resistant tuberculosis. Of 284 cases tested in New Jersey, 18 were found to be drug- resistant. Of 536 cases tested in Texas, 10 were found to be drugresistant. Do these data indicate that New Jersey has a statistically significant higher outbreak of drugresistant tuberculosis cases? Use a .03 level of significance. What is the p- value, and what is your conclusion? Is the conclusion any different under critical-value approach?

E

Expert

Verified

Data

Let P1' denote observed proportion of drug resistant TB in New Jersey population and P2' is observed proportion of drug resistant TB in Texas, then

P1'= 18/284   = 0.0633803

P2' = 10/536  = 0.0186567

Hypothesis Formation

Null Hypothesis H0:    P1 - P2 = 0

Alternative Hypothesis H1:    P1 - P2 > 0

Z Statistic

Z = (P1' - P2')/SQRT(P(1-P)/(1/n1+1/n2))

Where P = (18+10)/(284+536)

                 = 0.0341463

Critical Region

Reject null hypothesis in favor of alternative if Z is greater than Z critical value of 1.88

Computation

Z = (0.0633803 - 0.0186567)/SQRT(0.0341463*(1-0. 0.0341463)(1/284+1/536))

   = 0.0447236/SQRT(0.0329803*0.0053868)

   = 0.0447236/SQRT(0.0001777)

   = 0.0447236/0.01333

   = 3.36

Decision

Null hypothesis is rejected in favor of alternative as Z value is greater than Z critical value. So we can say that New Jersey has statistically greater outbreak of drug resistant TB.

   Related Questions in Basic Statistics

  • Q : Explain Queuing theory Queuing theory :

    Queuing theory: • Queuing theory deals with the analysis of lines where customers wait to receive a service:

    Q : Compare the test results The grade

    The grade point averages of 61 students who completed a college course in financial accounting have a standard deviation of .790. The grade point averages of 17 students who dropped out of the same course have a standard deviation of .940. Do the data indicate a

    		•
  • Q : Statics for each of the following

    for each of the following studies a and b decide whether to reject the null hypothesis that groiups come from identical populations. Use the .01 level. (c) Figure the effects size for each study. (d) ADVANCED TOPIC: Carry out an analysis of variance for study (a) using the strucurtal method.

    		•
  • Q : Safety and Liveness in Model Checking

    Safety and Liveness in Model Checking Approach; •? Safety: Nothing bad happens •? Liveness: Something good happens •? Model checking is especially good at verifying safety and liveness properties    –?Concurrency i

    		•
  • Q : Define Utilization Law Utilization Law

    Utilization Law: • ρk = XK . SK = X . DK • Utilization of a resource is the fraction

    		•
  • Q : Hw An experiment is conducted in which

    An experiment is conducted in which 60 participants each fill out a personality test, but not according to the way they see themselves. Instead, 20 are randomly assigned to fill it out according to the way they think a parent sees them (i.e. how a parent would fill it out to describe the participant

    		•
  • Q : FIN512 Entrepreneurial Finance Chapter

      Chapter 6: Discussion Question: #4 p. 223  It is usually easier to forecast sales for a seasoned firm contrast to an early-stage venture because an early-stage venture has limited access to bank credit lines, sho

    		•
  • Q : Time series what are the four

    what are the four components of time series?

    		•
  • Q : Principles of data analysis For the

    For the data analysis project, you will address some questions that interest you with the statistical methodology we are learning in class. You choose the questions; you decide how to collect data; you do the analyses. The questions can address almost any topic,

    		•
  • Q : STATISTICS Question This week you will

    This week you will analyze if women drink more sodas than men.  For the purposes of this Question, assume that in the past there has been no difference.  However, you have seen lots of women drinking sodas the past few months.  You will perform a hypothesis test to determine if women now drink more

    		•