Description
In a clinical trial, 25 out of 850 patients taking a prescription drug complained of flu like symptoms. Suppose that it is known that 1.8% of patients taking competing drugs complain of flu like symptoms. Is there sufficient evidence to conclude that more than 1.8% of this drug's users experience flu like symptoms as a side effect at the α=0.05 level of significance?
A)
Use technology to find the P-value.
P-value = _ (Round to three decimal places as needed.)
B)
A. Since P-value < α, reject the null hypothesis and conclude that there is sufficient evidence that more than 2.4% of the users experience flulike symptoms.
B. Since P-value > α, reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.4% of the users experience flulike symptoms.
C. Since P-value > α, do not reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.4% of the users experience flulike symptoms.
D. Since P-value < α, do not reject the null hypothesis and conclude that there is sufficient evidence that more than 2.4% of the users experience flulike symptoms.
Explanation & Answer
Dear student,Please see attached file with the step by step calculation of the p-value and the corresponding conclusion for the hypothesis test. Note that question B is incongruent with the initial data.Thus, you will see using the initial data of 1.8% patients having flu-like symptoms you should reject the null hypothesis and conclude that the number of patients experiencing flu-like symptoms is above 1.8%But if you do the analysis using a 2.4% average instead, you should accept the null hypothesis and conclude that the number of patients experiencing flu-like symptoms is NOT above 2.4%Kindly verify it and let me know if you need any further assistance
The p-value is calculated by considering that the data follow a normal distribution. Hence, the...