Question

Please state which step number corresponds to the answers, thank you!

SeQuix, which is used for treating kidney disease, has been found to have the following side effects in systolic blood pressure in patients: 30% have at least a 5% increase, 30% have less than a 5% change, and 40% have at least a 5% decrease. A new drug for treating kidney disease is being tested. A study of 220 patients using the new drug is conducted. Can it be concluded that there is a difference in systolic blood pressure side effects between SeQuix and the new drug?

Side effect	Number of Patients
at least 5% increase	48
less than 5% change	42
at least 5% decrease	130

Step 1 of 10: State the null and alternative hypothesis.
H0: There is a difference in blood pressure side effects between the two drugs.
Ha: There is no difference in blood pressure side effects between the two drugs.

OR

H0: There is no difference in blood pressure side effects between the two drugs.
Ha: There is a difference in blood pressure side effects between the two drugs.

Step 2 of 10: What does the null hypothesis indicate about the proportions of patients who displayed each side effect?
The proportions of patients who displayed each side effect are all thought to be equal.

OR

The proportions of patients who displayed each side effect are different for each category (and equal to the previously accepted values).

Step 3 of 10: State the null and alternative hypothesis in terms of the expected proportions for each category. (3 answers total; from the categories in the table above)
Step 4 of 10: Find the expected value for the number of patients with at least a 5% increase in systolic blood pressure. Round your answer to two decimal places.
Step 5 of 10: Find the expected value for the number of patients with less than a 5% change in systolic blood pressure. Round your answer to two decimal places.
Step 6 of 10: Find the value of the test statistic. Round your answer to three decimal places.
Step 7 of 10: Find the degrees of freedom associated with the test statistic for this problem.
Step 8 of 10: Find the critical value of the test at the 0.005 level of significance. Round your answer to three decimal places.
Step 9 of 10: Make the decision to reject or fail to reject the null hypothesis at the 0.005 level of significance.
Step 10 of 10: State the conclusion of the hypothesis test at the 0.005 level of significance. (There is enough evidence, or there is not enough evidence)

Answer 1

Soli given that the data ů duinber of patients '18 Side Effect at least 50% Increase less than 5% change at least 50% decrease 42 130 pressure in blood Side Effects 1) Ho: There ý no difference between the two drugs. ta. There ý a difference between the two drugs in blood pressure Side Effects proportions of diffound for side the 2) The - are patients who displayed Each Each Category (and Equal to Effect previously values) accepted 2 4 Ho: P, = 0.3 P2 = 0.3 and P₂ = 0.40 ta: At least one pi is different from specifted distribution. Expected value for the number of patients with at least a 56% Increase - 220130 à 2220x0.3 = 66 for the number of patients with at least 5) expected value a 5.1. decrease = I20% 40% 220 x 40 = 220 70.40 - 88

61 Side Effect to i I fe Cole? fu 220x0.4 (48-882 48 0.4 8 at least sh decrease 19.1018 bao 0-3 5% 0.3 less than Change ( 1 - 5 ) 66 = 8.7272 = 66 (30-662 220X0.3 at least 51. Increase 130 0.3 = 66 66 = 8.7272 220 35. 6362 Total 220 Test statistic chi-square = 35.6362 7) Degrees of freedom n=3 8) Critical value of the test at the 0.005 level of Significance : From the Critical value for chi-square Calculator Significance level = 0.005 Degrees of freedom = 2 @) By using Citime Calculator = 10.596634 in blood 9) Reject the Noll hypothesis ų a the difference two drugs there between that effects Cue to) Conclude side Can Pressure There is Enough Evidence