--%>
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 : Cumulative Frequency and Relative

    Explain differences between Cumulative Frequency and Relative Frequency?

    		•
  • Q : Sample z test and Sample t test A

    A random sample X1, X2, …, Xn is from a normal population with mean µ and variance σ2. If σ is unknown, give a 95% confidence interval of the population mean, and interpret it. Discuss the major diff

    		•
  • Q : Variance and standard error A hospital

    A hospital treated 412 skin cancer patients over a year. Of these, 197 were female. Give the point estimate of the proportion of females seeking treatment for skin cancer. Give estimates of the

    		•
  • Q : Assumptions in Queuing system

    Assumptions in Queuing system: • Flow balance implies that the number of arrivals in an observation period is equal to the

    		•
  • Q : Problem on queuing diagram Draw a 

    Draw a queuing diagram for the systems below and describe them using Kendall’s notation: A) Single CPU system <

    		•
  • Q : Problems on ANOVA We are going to

    We are going to simulate an experiment where we are trying to see whether any of the four automated systems (labeled A, B, C, and D) that we use to produce our root beer result in a different specific gravity than any of the other systems. For this example, we would l

    		•
  • Q : Define SPIN simulation modes SPIN: •

    SPIN: • SPIN generates C program that is the model checker – The pan verifier • Process Analyzer – Run the pan executable to do the model check

    		•
  • 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

    		•
  • Q : State Kendalls notation

    Kendall’s notation:  A/B/C/K/m/Z A, Inter-arrival distribution M exponential D constant or determ

    		•
  • Q : Building Models Building Models • What

    Building Models • What do we need to know to build a model?– For model checking we need to specify behavior • Consider a simple vending machine – A custome rinserts coins, selects a beverage and receives a can of soda &bul

    		•