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 31% of people who get the flu experience nausea. You collected data on 1900 patients who were taking Tamiflu to relieve symtoms of the flu, and found that 642 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 31%.

a) Identify the null and alternative hypotheses?

$\displaystyle {H}_{{{0}}}$: ? p = p ≠ p < p > p ≤ p ≥ μ = μ ≠ μ < μ > μ ≤ μ ≥

$\displaystyle {H}_{{{1}}}$: ? 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 a side effect of Tamiflu?