Question

A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the claim is true.
To perform the hypothesis test, a 95% confidence level is selected
for the hypothesis test. The new drug will be administered to a
sample of 200 individuals with the condition, selected at random.
Another 300 individuals are randomly selected to receive the
traditional treatment.

Of the 200 individuals treated with the new drug, 130 were
completely cured. Of those treated with the traditional method, 180
were completely cured.

to. Is there statistical evidence to support the claim that the new drug is more effective? Take the proper test and finish

b. If you were a patient of this condition, which treatment would you select? Justify your answer

Answer #1

Let p1 be the proportion of people cured by the new drug and p2 be the proportion of people cured by the traditional method.

For 95% confidence, our significance level is 0.05

We are testing,

A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the claim is true.
To perform the hypothesis test, a 95% confidence level is selected
for the hypothesis test. The new drug will be administered to a
sample of 200 individuals with the condition, selected at random.
Another 300 individuals are randomly selected to receive the
traditional treatment. Of the...

A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the claim is true.
To perform the hypothesis test, a 99% confidence level is selected
for the hypothesis test. The new drug will be administered to a
sample of 200 individuals with the condition, selected at random.
Another 300 individuals are randomly selected to receive the
traditional treatment. Of the...

A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the claim is true.
To perform the hypothesis test, a 99% confidence level is selected
for the hypothesis test. The new drug will be administered to a
sample of 200 individuals with the condition, selected at random.
Another 300 individuals are randomly selected to receive the
traditional treatment.
Of the...

A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the claim is true.
To perform the hypothesis test, a 99% confidence level is selected
for the hypothesis test. The new drug will be administered to a
sample of 200 individuals with the condition, selected at random.
Another 300 individuals are randomly selected to receive the
traditional treatment.
Of the...

A
new drug has been developed to treat a particular condition, and it
is alleged to be more effective than traditional treatment. An
experiment will be conducted to test whether the statement is true.
To perform the hypothesis test, a confidence level of 99s is
selected for the hypothesis test. The new drug will be administered
to a sample of 200 individuals with the condition, selected at
random. An additional 300 individuals will be randomly selected and
will be administer...

A new drug to treat psoriasis has been developed and is in
clinical testing. Assume that those individuals given the drug are
examined before receiving the treatment and then again after
receiving the treatment to determine if there was a change in their
symptom status. If the initial results showed that 2.0% of
individuals entered the study in remission, 77.0% of individuals
entered the study with mild symptoms, 16.0% of individuals entered
the study with moderate symptoms, and 5.0% entered...

Suppose 200 subjects are treated with a drug that is used to
treat pain and 52 of them developed nausea. Use a 0.05 significance
level to test the claim that more than 20?% of users develop
nausea.
Identify the null and alternative hypotheses for this test.
Identify the test statistic for this hypothesis test.
Suppose
200200
subjects are treated with a drug that is used to treat pain
and
5252
of them developed nausea. Use a
0.050.05
significance level to...

A drug company has developed a new drug designed to prevent
colds. They state that the drug is effective for both men and
women. In a sample of 150 men, 68 caught a cold. In a sample of 200
women, 60 caught a cold. At á = 0.05, test the claim that there is
no difference in the proportion of men and women who caught a
cold.

A new type of medication has been developed for the treatment of
a certain type
of disease. It is known that; the standard deviation for the
average recovery times of patients
treated with this medication is , σ = 2 . Randomly selected 12
patients were treated with this
medication and the recovery days are given as;
Xi: 12, 5, 8, 12, 6, 6, 12, 17, 18, 5, 12, 13 i = 1, … , n
a. Obtain the sample...

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