Question

An experiment was conducted to test the effect of a new drug on a viral infection....

An experiment was conducted to test the effect of a new drug on a viral infection. After the infection was induced in 100 mice, the mice were randomly split into two groups of 50. The first group, the control group, received no treatment for the infection, and the second group received the drug. After a 30-day period, the proportions of survivors, p?1 and p?2, in the two groups were found to be 0.38 and 0.66, respectively.

(a) Is there sufficient evidence to indicate that the drug is effective in treating the viral infection? Use ? = 0.05.

State the null and alternative hypotheses.

H0: (p1 ? p2) = 0 versus Ha: (p1 ? p2) < 0H0: (p1 ? p2) = 0 versus Ha: (p1 ? p2) ? 0    H0: (p1 ? p2) < 0 versus Ha: (p1 ? p2) > 0H0: (p1 ? p2) = 0 versus Ha: (p1 ? p2) > 0H0: (p1 ? p2) ? 0 versus Ha: (p1 ? p2) = 0


Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)

test statistic     z =
rejection region     z >
    z <


State your conclusion.

H0 is not rejected. There is sufficient evidence to indicate that the drug is effective in treating the viral infection.H0 is not rejected. There is insufficient evidence to indicate that the drug is effective in treating the viral infection.    H0 is rejected. There is sufficient evidence to indicate that the drug is effective in treating the viral infection.H0 is rejected. There is insufficient evidence to indicate that the drug is effective in treating the viral infection.


(b) Use a 95% confidence interval to estimate the actual difference (p1 ? p2) in the survival rates for the treated versus the control groups. (Round your answers to two decimal places.)
to

Homework Answers

Answer #1

Soln,

According to question,

given that

also,

a) The hypotheses are

Ho : p1-p2=0

Ha : p1-p2<0

Also given that

Formula used to calculate and n1=50 and n2= 50

So Z test two tail test applied hence

Z calculated as, test statistic, Z = -2.802

Hence rejection region   Z< -1.644.

Hence from the above calculation,

Conclusion :

Reject Ho There is sufficient evidence to indicate that the drug is effective in treating the viral infection.

b) at 95 % Confidence interval; computed as

(0.0842 to 0.4476)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Independent random samples of n1 = 170 and n2 = 170 observations were randomly selected from...
Independent random samples of n1 = 170 and n2 = 170 observations were randomly selected from binomial populations 1 and 2, respectively. Sample 1 had 96 successes, and sample 2 had 103 successes. You wish to perform a hypothesis test to determine if there is a difference in the sample proportions p1 and p2. (a) State the null and alternative hypotheses. H0: (p1 − p2) < 0 versus Ha: (p1 − p2) > 0 H0: (p1 − p2) = 0...
In a study on the effect of an oral rinse on plaque buildup on teeth, fourteen...
In a study on the effect of an oral rinse on plaque buildup on teeth, fourteen people whose teeth were thoroughly cleaned and polished were randomly assigned to two groups of seven subjects each. Both groups were assigned to use oral rinses (no brushing) for a 2-week period. Group 1 used a rinse that contained an antiplaque agent. Group 2, the control group, received a similar rinse except that the rinse contained no antiplaque agent. A measure of plaque buildup...
To test the effect of alcohol in increasing the reaction time to respond to a given...
To test the effect of alcohol in increasing the reaction time to respond to a given stimulus, the reaction times of seven people were measured. After consuming 89 mL of 40% alcohol, the reaction time for each of the seven people was measured again. Do the following data indicate that the mean reaction time after consuming alcohol was greater than the mean reaction time before consuming alcohol? Use α = 0.05. (Use  μbefore − μafter = μd.  Round your answers to three decimal places.) Person  1    2    3    4    5    6    7  Before3465261After7726365 1-2. Null and alternative hypotheses: H0: μd =...
An article in American Demographics investigated consumer habits at the mall. We tend to spend the...
An article in American Demographics investigated consumer habits at the mall. We tend to spend the most money shopping on the weekends, and, in particular, on Sundays from 4 to 6 p.m. Wednesday morning shoppers spend the least! Suppose that a random sample of 21 weekend shoppers and a random sample of 21 weekday shoppers were selected, and the amount spent per trip to the mall was recorded. Weekends Weekdays Sample Size 21 21 Sample Mean ($) 75 62 Sample...
Some sports that involve a significant amount of running, jumping, or hopping put participants at risk...
Some sports that involve a significant amount of running, jumping, or hopping put participants at risk for Achilles tendinopathy (AT), an inflammation and thickening of the Achilles tendon. A study looked at the diameter (in mm) of the affected tendons for patients who participated in these types of sports activities. Suppose that the Achilles tendon diameters in the general population have a mean of 5.95 millimeters (mm). When the diameters of the affected tendon were measured for a random sample...
To properly treat patients, drugs prescribed by physicians must not only have a mean potency value...
To properly treat patients, drugs prescribed by physicians must not only have a mean potency value as specified on the drug's container, but also the variation in potency values must be small. Otherwise, pharmacists would be distributing drug prescriptions that could be harmfully potent or have a low potency and be ineffective. A drug manufacturer claims that his drug has a potency of 5 ± 0.1 milligram per cubic centimeter (mg/cc). A random sample of four containers gave potency readings...
A researcher investigated determinants that account for individuals' making a transition from having a home (domiciled)...
A researcher investigated determinants that account for individuals' making a transition from having a home (domiciled) but using meal programs to becoming homeless. The following table contains the data obtained in the study. Homeless Men Domiciled Men Sample size 117 267 Number currently working 33 96 Is there sufficient evidence to indicate that the proportion of those currently working is larger for domiciled men than for homeless men? (Use α = 0.01. Use p1 for the population proportion of homeless...
Acid rain—rain with a pH value less than 5.7, caused by the reaction of certain air...
Acid rain—rain with a pH value less than 5.7, caused by the reaction of certain air pollutants with rainwater—is a growing problem in the United States. Pure rain falling through clean air registers a pH value of 5.7 (pH is a measure of acidity: 0 is acid; 14 is alkaline). A sample of n = 30 rainfalls produced pH readings with x = 3.7 and s = 0.5. Do the data provide sufficient evidence to indicate that the mean pH...
Many companies are becoming involved in flextime, in which a worker schedules his or her own...
Many companies are becoming involved in flextime, in which a worker schedules his or her own work hours or compresses work weeks. A company that was contemplating the installation of a flextime schedule estimated that it needed a minimum mean of 7 hours per day per assembly worker in order to operate effectively. Each of a random sample of 90 of the company's assemblers was asked to submit a tentative flextime schedule. If the mean number of hours per day...
To properly treat patients, drugs prescribed by physicians must not only have a mean potency value...
To properly treat patients, drugs prescribed by physicians must not only have a mean potency value as specified on the drug's container, but also the variation in potency values must be small. Otherwise, pharmacists would be distributing drug prescriptions that could be harmfully potent or have a low potency and be ineffective. A drug manufacturer claims that his drug has a potency of 5 ± 0.1 milligram per cubic centimeter (mg/cc). A random sample of four containers gave potency readings...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT