In a clinical​ trial,22out of857patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.3​%of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.3​%of this​ drug's users experience flulike symptoms as a side effect at thealpha equals 0.05α=0.05level of​ significance?Becausenp 0 left parenthesis 1 minus p 0 right parenthesisnp01−p0equals=nothing▼ greater than>less than<not equals≠equals=​10,the sample size is▼ less thanless thangreater thangreater than​5% of the population​ size, and the sample▼ can be reasonably assumed to be random,is given to not be random,cannot be reasonably assumed to be random,is given to be random,the requirements for testing the hypothesis▼ areare notsatisfied.​(Round to one decimal place as​ needed.)

Question
Asked Nov 16, 2019
92 views
In a clinical​ trial,
22
out of
857
patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.3​%
of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.3​%of this​ drug's users experience flulike symptoms as a side effect at the
alpha equals 0.05α=0.05
level of​ significance?
Because
np 0 left parenthesis 1 minus p 0 right parenthesisnp01−p0equals=nothing
 
greater than>
less than<
not equals≠
equals=
​10,
the sample size is
 
less thanless than
greater thangreater than
​5% of the population​ size, and the sample
 
can be reasonably assumed to be random,
is given to not be random,
cannot be reasonably assumed to be random,
is given to be random,
the requirements for testing the hypothesis
 
are
are not
satisfied.
​(Round to one decimal place as​ needed.)
check_circle

Expert Answer

Step 1

Null and alternative hypotheses:

The null and alternative hypotheses are as follows:

Ho p 0.023
H p>0.023
help_outline

Image Transcriptionclose

Ho p 0.023 H p>0.023

fullscreen
Step 2

Test statistic:

The test statistic is calculated as 0.5216, from t...

22
p=
857
= 0.0257
p-p
p(1-p)
Z
п
0.0026 0.023
0.023(1-0.023
857
0.0027
0.0051
0.5216
help_outline

Image Transcriptionclose

22 p= 857 = 0.0257 p-p p(1-p) Z п 0.0026 0.023 0.023(1-0.023 857 0.0027 0.0051 0.5216

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation i...

A: Standard normal distribution:The standard normal distribution is a special case of normal distributi...

question_answer

Q: Please explain how to do this problem on paper and TI 84

A: Step by step procedure to find the confidence interval using TI-83 is given below:Press STAT, select...

question_answer

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you bel...

A: The formula for the sample size is as follows:

question_answer

Q: A class survey in a large class for first‑year college students asked, “About how many hours do you ...

A: From the given information,Sample size(n) = 463.Sample mean = 13.7.Population standard deviation =7....

question_answer

Q: The average production cost for major movies is 60 million dollars and the standard deviation is 22 ...

A: Standard normal distribution:The standard normal distribution is a special case of normal distributi...

question_answer

Q: "Based on recent data, 80% of all part-time college students are female. A survey of 1000 college st...

A: Parameter:A parameter is a function of observations in a population. It is an numerical quantity tha...

question_answer

Q: When taking a 8 question multiple choice test, where each question has 4 possible answers, it would ...

A: Mean and standard deviation:The mean and standard deviations are calculated as follows:

question_answer

Q: An environmental agency is analyzing water samples from 80 lakes for pollution. Five of the lakes ha...

A: Combination Rule:The arrangement of r objects from n different objects is given by:

question_answer

Q: Could you do Problem 3, questions a and b?

A: Click to see the answer