Question

In: Statistics and Probability

A large study finds that a new hypertension drug lowered BP, on average, 1 mm Hg...

A large study finds that a new hypertension drug lowered BP, on average, 1 mm Hg more than conventional treatments. The results were statistically significant with a P Value of less than .05 because the study was large enough to detect a very small difference. Were the results clinically significant? Why or why not?

Solutions

Expert Solution

Statistical significance means

Clinical significance is a matter of judgement since Clinical significance has little to do with statistics. Clinical significance often depends on the magnitude of the effect being studied. It answers the question “Is the difference between groups large enough to be worth achieving?” Studies can be statistically significant yet clinically insignificant.

Below example will illustrate well about the given condition.

For example, a large study might find that a new antihypertensive drug lowered BP, on average, 1 mm Hg more than conventional treatments. The results were statistically significant with a P Value of less than .05 because the study was large enough to detect a very small difference. But in real life, most clinicians would not find the 1 mm Hg difference in blood pressure large enough to justify changing to a new drug. This would be a case where the results were statistically significant (p value less than .05) but clinically insignificant.


Related Solutions

1. The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average,...
1. The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 44 for a sample of size 22 and standard deviation 6. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Give your answers to one decimal place and provide the point estimate with its margin of error. __________________ ± ________________________ 2. In a survey, 31 people were asked...
1. Interpret the following values: Systolic pressure 140 mm Hg, diastolic pressure 90 mm Hg, serum...
1. Interpret the following values: Systolic pressure 140 mm Hg, diastolic pressure 90 mm Hg, serum LDL 180 mg/dl, serum HDL 35 mg/dl. Suggest a course of action.
When subjects were treated with a drug, their systolic blood pressure readings (in mm Hg) were...
When subjects were treated with a drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the table below. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Using a 0.05 significance level, is there sufficient evidence to support the claim that the drug is effective in lowering systolic blood pressure? Before   After 179   147...
When subjects were treated with a​ drug, their systolic blood pressure readings​ (in mm​ Hg) were...
When subjects were treated with a​ drug, their systolic blood pressure readings​ (in mm​ Hg) were measured before and after the drug was taken. The results are given in the table below. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Using a 0.050 significance​ level, is there sufficient evidence to support the claim that the drug is effective in lowering systolic blood​ pressure? Before: 205 159...
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the...
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 46 for a sample of size 21. Assume the population standard deviation is 3.6. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 90% confidence level). Assume the data is from a normally distributed population. Round answers to 2 decimal places where possible.
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the...
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 26.8 for a sample of size 29 and standard deviation 6.6. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Assume the data is from a normally distributed population. Enter your answer as a tri-linear inequality accurate to three decimal places. ____ < μ < _____
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the...
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 83.2 for a sample of size 27 and standard deviation 7.1. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Assume the data is from a normally distributed population. Enter your answer as a tri-linear inequality accurate to three decimal places.
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the...
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 27.8 for a sample of size 26 and standard deviation 7.3. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 80% confidence level). Assume the data is from a normally distributed population. Enter your answer as a tri-linear inequality accurate to three decimal places.
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the...
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 16.2 mmHg (millimeters of mercury) for a sample of size 476 and a sample standard deviation 18.8 mmHg. How much of mmHg will lower for a typical patient's systolic blood pressure after taking the drug? Estimate with a 98% confidence. Preliminary: Is it safe to assume that n≤5% of all patients with a systolic blood pressure? No Yes...
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the...
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 36.8 for a sample of size 29 and standard deviation 14.7. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 98% confidence level). Assume the data is from a normally distributed population. Enter your answer as a tri-linear inequality accurate to three decimal places.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT