In a test of statistical hypotheses, the P-value tells us: A. if the null hypoth

Question

In a test of statistical hypotheses, the P-value tells us: A. if the null hypothesis is true. B. if the alternative hypothesis is true. C. the largest level of significance at which the null hypothesis can be rejected. D. the smallest level of significance at which the null hypothesis can be rejected. A group of veterinary researchers plan a study to estimate the average number of in horses suffering from them. The number of is determined by surgery or ultrasound. This requires the participation of a radiologist and a surgeon in the study. The researchers decide that they should only enroll horses seen at the best veterinary hospital in the country to ensure correct counts. Such a hospital will typically see the most severe cases. The researchers will enroll the first 20 horses seen beginning on the day the study is funded. The researchers will calculate a 95% confidence interval. The procedure is not valid because the: A. data are counts and, therefore, not Normally distributed. B. average number is not an integer and does not reflect any actual observation. C. sample size is too small for the central limit theorem to apply. D. None of the above. The procedure is valid.

Explanation / Answer

Q16)

The p-value gives us the maximum value at which null hypothesis can be rejected. We reject the null hypothesis if p-value < level of significance and we accept null hypothesis if p-value > level of significance.

Hence option C is correct.

Q17)

An assumption of the Central Limit theorem is that the sample size is large. But in this case the sample size is small. So we cannot apply Central Limit theorem.

Hence option c is correct.

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