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 35% of people who get the flu experience nausea. You collected data on 1855 patients who were taking Tamiflu to relieve symtoms of the flu, and found that 705 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 35%. a) Identify the null and alternative hypotheses? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? c) Identify the appropriate significance level.

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 35% of people who get the flu experience nausea. You collected data on 1855 patients who were taking Tamiflu to relieve symtoms of the flu, and found that 705 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 35%.

a) Identify the null and alternative hypotheses?

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 (use ˆpp^ rounded to 4 decimal places). Round your test statistic to 4 decimal places.

e) Calculate your p-value and round to 4 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 35%.
    • There is not sufficient evidence to warrant rejection of the claim that the percentage of people who experience nausea is greater than 35%.
    • The sample data support the claim that the percentage of people who experience nausea is greater than 35%
    • There is not sufficient sample evidence to support the claim that the percentage of people who experience nausea is greater than 35%
    • h) Can we conclude that nausea a side effect of Tamiflu?

 

 

 

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