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 30% of people who get the flu experience nausea. You collected data on 1744 patients who were taking Tamiflu to relieve symtoms of the flu, and found that 572 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 30%.a) Identify the null and alternative hypotheses?�0:               �1:               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 30%. There is not sufficient evidence to warrant rejection of the claim that the percentage of people who experience nausea is greater than 30%. The sample data support the claim that the percentage of people who experience nausea is greater than 30% There is not sufficient sample evidence to support the claim that the percentage of people who experience nausea is greater than 30% h) Can we conclude that nausea is a side effect of Tamiflu? Yes No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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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 30% of people who get the flu experience nausea. You collected data on 1744 patients who were taking Tamiflu to relieve symtoms of the flu, and found that 572 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 30%.

a) Identify the null and alternative hypotheses?

�0:               

�1:               

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 30%.
  • There is not sufficient evidence to warrant rejection of the claim that the percentage of people who experience nausea is greater than 30%.
  • The sample data support the claim that the percentage of people who experience nausea is greater than 30%
  • There is not sufficient sample evidence to support the claim that the percentage of people who experience nausea is greater than 30%


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

  • Yes
  • No
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