Within hypothesis testing, which of the following provides the definition of a p

Question

Within hypothesis testing, which of the following provides the definition of a p-value? (a) P(null hypothesis is true). (b) P(alternative hypothesis is true (c) P(obtaining a result at least as extreme as the observed data null hypothesis is true) (d) P(obtaining the observed test statistic null hypothesis is true) To assess the impact that a chemical fertiliser has on the production of bananas in Dorset a statistical experiment is undertaken. 10 plots of land are used to grow bananas with a given chemical fertiliser added and a further similar 10 plots used to grow bananas but without the chemical fertiliser added. We wish to test the nu hypothesis that adding the chemical fertiliser makes no difference to the mean production of bananas, against the alternative hypothesis that the addition of chemical compound increases the mean production of bananas. What test should we use to perform this hypothesis test? (a) A one-sample t-test. (b) A two-sample t-test. (c) A paired t-test. (d) An F-test

Explanation / Answer

Within hypothesis testing the p value is a probability of obtaining a result as extreme as the observed data. Option c.

Since 2 different sets of plots were used, we use a 2 sample t test to test the hypothesis. Option b.

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