Question 7 ### Example Study: Testing for Flulike Symptoms in Drug UsersIn a clinical trial, 20 out of 880 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 1.9% of patients taking competing drugs complain of flulike symptoms. The question to address is whether there is sufficient evidence to conclude that more than 1.9% of this drug's users experience flulike symptoms as a side effect at the α = 0.05 level of significance.1. **Conditions Check:** - Calculate \( np_0 (1 - p_0) = 16.4 > 10 \), which suggests that the sample size is sufficient. - The sample size is less than 5% of the population size. - The sample can be reasonably assumed to be random. Since these conditions are satisfied, it is appropriate to test the hypothesis.2. **Hypotheses:** - Null hypothesis (\( H_0 \)): \( p = 0.019 \) - Alternative hypothesis (\( H_1 \)): \( p > 0.019 \)3. **Test Statistic:** - Calculated test statistic \( z_0 = 0.80 \)4. **P-value:** - P-value = [Round to three decimal places as needed.]This analysis aims to determine if the observed proportion of patients experiencing flulike symptoms is significantly greater than the known rate of 1.9%.

Given,n=880x=20H0:p=0.019H1:p>0.019Test statistic(z0)=0.80

In a clinical trial, 20 out of 880 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 1.9% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 1.9% of this drug's users experience flulike symptoms as a side effect at the a = 0.05 level of significance? ..... Because npo (1 – Po) = 16.4 > 10, the sample size is 5% of the population size, and the sample less than can be reasonably assumed to be random, the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: P 0.019 versus H: 0.019 (Type integers or decimals. Do not round.) Find the test statistic, zo. Zn = 0.80 (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.)