level (years) 13.1 24.7 00215 mass index (BMD 37 470 25.1 -53 Fetal Heart Rate b

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level (years) 13.1 24.7 00215 mass index (BMD 37 470 25.1 -53 Fetal Heart Rate by Position Side 141 143 145 144 136 Mean= 141.8 sitting 144 145 147 148 144 Mean= 145.6 147 145 145 Mean- 1468 bo and the outcome is pain relief within s. The data are shown in Table 7-54 Is a significant difference in the proportions Table 7-55 are collected at the end of the study after 6 weeks on the assigned treatment a. Test if there is a significant difference in mean sys- of patients reporting pain relief? Run the test 5% level of significance. tolic blood pressures between groups using a -o. b. Test if there is a significant difference in the pro- nical trial is planned to compare an experi- mental medication designed to lower blood pres- to a placebo. Before starting the trial, a pilot study is conducted involving seven participants. The objective of the study is to assess how systolic lood pressures change over time if left untreated. Systolic blood pressures are measured at baseline and again 4 weeks later. Is there a statistically significant difference in blood pressures over time? portions of hypertensive patients between groups using = 0.05. 9. Suppose in the trial described in Problem 8 that sure patients were recruited from three different clinical sites. Use the data in Table 7-56 to test if there is a difference in the proportions of hypertensive patients across clinical sites. Run the test at a 5% level of significance. Run the test at a 5% level of significance. Raseline: 120 145 130 160 152 143 126 TABLE 7-54 Pain Relief by Treatment Weeks: 122 142 135 158 155 140 130 Pain Relietf No Pain Relief &The; main trial in Problem 7 is conducted and involves New medication a total of 200 patients. Patients are enrolled and Placebo 76 21 randomized to receive either the experimen- al medication or the placebo. The data shown in

Explanation / Answer

Question 7.

Solution :

µd = Mean of systolic blood pressure of (baseline)-(4 weeks) for all patients not taking any drug.

H0: µd= 0 (There is not a statistically significant difference in systolic blood pressure between the baseline test, and the 4 week test without the use of any drug.)

H1: µd 0 (There is a statistically significant difference in systolic blood pressure between the baseline test, and the 4 week test without the use of any drug.)

Using the excel for this paired t-test we get output as,

Here Test Statistics = -0.6599

and as the test is two tailed ,so p-value =0.5338

Decision rule : If alpha > p-value we reject Ho otherwise we fail to reject Ho.

Here alpha (0.05) < p-value(0.5338) ,so we fail to reject Ho.

Conclusion: There is not a statistically significant difference in systolic blood pressure between the baseline test, and the 4 week test without the use of any drug.

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