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Safari File Edit View History Bookmarks Window Help 60% Wed 12:36 PM 5 O-s points poostats 11 E 048. My Notes Ask Your T In a study of the effectiveness of a fabric device that acts stocking for a weak or damaged heart, 110 people who consented to treatment were assigned at random to either a standard treatment consisting drugs or the ex treatment that consisted of drugs plus surgery to install the stocking. Aner two years, 45% of the 60 patients receiving the stocking had improved and 36% of the patients receiving the standard treatment had improved. (use a statistical computer package to calculate the P value. Use Pexperimental pstandard Round your test statistic to two decimal places and your Pvalue to four decimal places.) Do these data provide convincing evidence that the proportion of patients who improve is higher for the experimental treatment than for the standard treatment? Test the relevant hypotheses using a significance level of 0.05 You may need to use the appropriate table in Append x A to answer this question. Submit Assignment Save Assignment Progress Home My Assignments

Explanation / Answer

Number of patients receiving the stocking = 60

Number of patients receiving the standard treatment = 110 - 60 = 50

Proportions of improved patients receiving the stocking = 0.45

Proportions of improved patients receiving the standard treatment = 0.36

Difference in proportions = 0.45 - 0.36 = 0.09

pooled sample proportion, p = (p1 * n1 + p2 * n2) / (n1 + n2)

p = (0.45 * 60 + 0.36 * 50) / (60 + 50) = 0.4091

standard error, SE = sqrt{ p * ( 1 - p ) * [ (1/n1) + (1/n2) ] }

SE = sqrt{ 0.4091 * ( 1 - 0.4091) * [ (1/60) + (1/50) ] } = 0.094

z = 0.09/0.094 = 0.96

p for z = 0.96 is 0.1685

As, p is greater than 0.05, the correct option is No. There is no convincing evidence.

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