Suppose the time that it takes for a certain infection to be cured is normally d

Question

Suppose the time that it takes for a certain infection to be cured is normally distributed with mean (in days) and standard deviation day. The drug manufacturer advertises that it works in 5 days, on average, but measurements on a random sample of 400 patients gave a mean infection time of r = 5.2 days. Is this evidence that the mean time to be cures is actually more than advertised? We test the hypotheses What does it mean if the p-value is 0.026. Interpret the p-value O If the true population mean is 5, the probability of randomly selecting another sample of 400 patients whose sample mean is 5.2 or more is 0.026. If the true population mean is 5, the probability of randomly selecting another sample of 400 patients whose sample mean is 5.2 is 0.026 If the true population mean is more than 5, the probability of randomly selecting another sample of 400 patients whose sample mean is 5.2 or more is 0.026. If the true population mean is more than 5, the probability of randomly selecting another sample of 400 patients whose sample mean is 5.2 is 0.026. None of the above Source: Duggins,J.(2009), Test Bank for Baldi and Moore's Practice of Statistics in the Life Sciences (1ed), Freeman

Explanation / Answer

Ans:

First option is correct.

If the true population mean is 5,the probability of randomly selecting another sample of 400 patients whose sample mean is 5.2 or more is 0.026.

Defination of p-value:

The P value, or calculated probability, is the probability of finding the observed, or more extreme, results when the null hypothesis (H 0) of a study question is true – the definition of 'extreme' depends on how the hypothesis is being tested.

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