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 2254 patients who were taking Tamiflu to relieve symtoms of the flu, and found that 778 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%.   d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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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 2254 patients who were taking Tamiflu to relieve symtoms of the flu, and found that 778 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%.

 

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 32%.
  • There is not sufficient evidence to warrant rejection of the claim that the percentage of people who experience nausea is greater than 32%.
  • The sample data support the claim that the percentage of people who experience nausea is greater than 32%
  • There is not sufficient sample evidence to support the claim that the percentage of people who experience nausea is greater than 32%


h) Can we conclude that nausea a side effect of Tamiflu?

  • Yes
  • No
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