Question

According to the Mayo Clinic, a fasting blood sugar of 100 mg/dL is considered to be normal. A doctor claims that his patients have a lower fasting sugar due to a new drug that he prescribes. The data is shown to the left. Test the doctor's claim at 0.05 level of significance. Is the drug working? What might be some issues with this dataset?

Sample | Population | |||||

Mean | 77.98571429 | Mean | 100 | |||

Std Dev | 12.28465858 | |||||

N | 70 | H0: | μ= 100 | |||

DF | 69 | Ha: | μ< 100 | claim | ||

Reject null | ||||||

Numerator | -22.0142857 | |||||

Denominator | 1.468297539 | |||||

T- Score | -14.9930686 | |||||

P- Value | 1.06928E-23 | |||||

Critical Value | -1.66723855 | |||||

Significance | 0.05 |

Answer #1

Since p-value = 1.06928E-23 < 0.05 i.e. H_{0} can be
rejected and hence we can say that there is enough evidence to
conclude that doctor's patients have a lower fasting sugar due to a
new drug that he prescribed and hence drug is working.

Some problems may be:

- Patients may not fasted the night before and hence less fasting sugar is due to the other reason and not drug.
- It may so happen that the patients so chosen already have less sugar and hence no contribution of the drug.

**Please upvote if you have liked my answer, would be of
great help. Thank you.**

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