Question

c. enter the alternative hypothesis. $h_1:p\
eq0.33$ d. is the original claim located in the null or alternative hypothesis? null hypothesis e. what is the test statistic for the given statistics? -1.86 f. what is the p - value for this test? 0.0628 g. what is the decision based on the given statistics? reject the null hypothesis h. what is the correct interpretation of this decision? using a 5% level of significance, there is sufficient evidence to accept the claim that the percentage of people who take tamiflu for the relief of flu symptoms and experience nausea is 33%.

Explanation:

Step1: Recall decision - rule for hypothesis testing

In hypothesis testing with a 5% ($\alpha = 0.05$) level of significance, if the p - value is less than $\alpha$, we reject the null hypothesis; if the p - value is greater than $\alpha$, we fail to reject the null hypothesis.

Step2: Compare p - value and $\alpha$

We are given $\alpha=0.05$ and p - value = 0.0628. Since $0.0628>0.05$, we fail to reject the null hypothesis.

Step3: Interpret the decision

Failing to reject the null hypothesis means there is not sufficient evidence to reject the claim (assuming the claim is in the null hypothesis) at the 5% level of significance.

Answer:

g. Fail to reject the null hypothesis
h. Using a 5% level of significance, there is not sufficient evidence to reject the claim that the percentage of people who take Tamiflu for the relief of flu symptoms and experience nausea is 33%.