1) You are concerned that nausea may be a side effect of Tamiflu, but you cannot just give Tamiflu to patients with the
Posted: Wed May 11, 2022 3:29 pm
1) You are concerned that nausea may be a side
effect of Tamiflu, but you cannot just give Tamiflu to patients
with the flu and say that nausea is a side effect if people become
nauseous. This is because nausea is common for people who have the
flu. From past studies you know that about 32% of people who get
the flu experience nausea. You collected data on 1931 patients who
were taking Tamiflu to relieve symtoms of the flu, and found that
674 experienced nausea. Use a 0.01 significance level to test the
claim that the percentage of people who take Tamiflu for the relief
of flu symtoms and experience nausea is greater than 32%.
a) Identify the null and alternative
hypotheses?
H0H0: ? p = p ≠ p < p > p
≤ p ≥ μ = μ ≠ μ < μ > μ
≤ μ ≥
H1H1: ? p = p ≠ p < p > p
≤ p ≥ μ = μ ≠ μ < μ > μ
≤ μ ≥
b) What type of hypothesis test should you
conduct (left-, right-, or two-tailed)?
c) Identify the appropriate significance
level.
d) Calculate your test statistic. Write the
result below, and be sure to round your final answer to two decimal
places.
e) Calculate your p-value. Write the result
below, and be sure to round your final answer to four decimal
places.
f) Do you reject the null hypothesis?
g) Select the statement below that best
represents the conclusion that can be made.
h) Can we conclude that nausea is a side
effect of Tamiflu?
2) Test the claim that the
proportion of people who own cats is larger than 90% at the 0.025
significance level.
The null and alternative hypothesis would be:
H0:p=0.9H0:p=0.9
H1:p≠0.9H1:p≠0.9
H0:p≥0.9H0:p≥0.9
H1:p<0.9H1:p<0.9
H0:μ=0.9H0:μ=0.9
H1:μ≠0.9H1:μ≠0.9
H0:μ≤0.9H0:μ≤0.9
H1:μ>0.9H1:μ>0.9
H0:p≤0.9H0:p≤0.9
H1:p>0.9H1:p>0.9
H0:μ≥0.9H0:μ≥0.9
H1:μ<0.9H1:μ<0.9
The test is:
left-tailed
right-tailed
two-tailed
Based on a sample of 300 people, 98% owned cats
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
3) You wish to test the following
claim (HaHa) at a significance level of α=0.005α=0.005.
Ho:μ=81.2Ho:μ=81.2
Ha:μ<81.2Ha:μ<81.2
You believe the population is normally distributed
and you know the standard
deviation is σ=11.1σ=11.1. You obtain a sample
mean of M=77.6M=77.6 for a sample of
size n=63n=63.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
This test statistic leads to a decision to...
As such, the final conclusion is that...
effect of Tamiflu, but you cannot just give Tamiflu to patients
with the flu and say that nausea is a side effect if people become
nauseous. This is because nausea is common for people who have the
flu. From past studies you know that about 32% of people who get
the flu experience nausea. You collected data on 1931 patients who
were taking Tamiflu to relieve symtoms of the flu, and found that
674 experienced nausea. Use a 0.01 significance level to test the
claim that the percentage of people who take Tamiflu for the relief
of flu symtoms and experience nausea is greater than 32%.
a) Identify the null and alternative
hypotheses?
H0H0: ? p = p ≠ p < p > p
≤ p ≥ μ = μ ≠ μ < μ > μ
≤ μ ≥
H1H1: ? p = p ≠ p < p > p
≤ p ≥ μ = μ ≠ μ < μ > μ
≤ μ ≥
b) What type of hypothesis test should you
conduct (left-, right-, or two-tailed)?
c) Identify the appropriate significance
level.
d) Calculate your test statistic. Write the
result below, and be sure to round your final answer to two decimal
places.
e) Calculate your p-value. Write the result
below, and be sure to round your final answer to four decimal
places.
f) Do you reject the null hypothesis?
g) Select the statement below that best
represents the conclusion that can be made.
h) Can we conclude that nausea is a side
effect of Tamiflu?
2) Test the claim that the
proportion of people who own cats is larger than 90% at the 0.025
significance level.
The null and alternative hypothesis would be:
H0:p=0.9H0:p=0.9
H1:p≠0.9H1:p≠0.9
H0:p≥0.9H0:p≥0.9
H1:p<0.9H1:p<0.9
H0:μ=0.9H0:μ=0.9
H1:μ≠0.9H1:μ≠0.9
H0:μ≤0.9H0:μ≤0.9
H1:μ>0.9H1:μ>0.9
H0:p≤0.9H0:p≤0.9
H1:p>0.9H1:p>0.9
H0:μ≥0.9H0:μ≥0.9
H1:μ<0.9H1:μ<0.9
The test is:
left-tailed
right-tailed
two-tailed
Based on a sample of 300 people, 98% owned cats
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
3) You wish to test the following
claim (HaHa) at a significance level of α=0.005α=0.005.
Ho:μ=81.2Ho:μ=81.2
Ha:μ<81.2Ha:μ<81.2
You believe the population is normally distributed
and you know the standard
deviation is σ=11.1σ=11.1. You obtain a sample
mean of M=77.6M=77.6 for a sample of
size n=63n=63.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
This test statistic leads to a decision to...
As such, the final conclusion is that...