Question: 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
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 33% of people who get the flu experience nausea. You collected data on 2039 patients who were taking Tamiflu to relieve symtoms of the flu, and found that 738 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 33%.
a)Identify the null and alternative hypotheses?
H0:?
H1: ?
b)What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
- left-tailed
- right-tailed
- 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?
- We reject the null hypothesis, since the p-value is less than the significance level.
- We reject the null hypothesis, since the p-value is not less than the significance level.
- We fail to reject the null hypothesis, since the p-value is less than the significance level.
- We fail to reject the null hypothesis, since the p-value is not less than the significance level.
g)Select the statement below that best represents the conclusion that can be made.
- There is sufficient evidence to warrant rejection of the claim that the percentage of people who experience nausea is greater than 33%.
- There is not sufficient evidence to warrant rejection of the claim that the percentage of people who experience nausea is greater than 33%.
- The sample data support the claim that the percentage of people who experience nausea is greater than 33%
- There is not sufficient sample evidence to support the claim that the percentage of people who experience nausea is greater than 33%
h)Can we conclude that nausea a side effect of Tamiflu?
- Yes
- No
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