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In: Statistics and Probability

Answer using R Studio Here we consider the amount of data needed to perform hypothesis testing....

Answer using R Studio

  1. Here we consider the amount of data needed to perform hypothesis testing.
    1. Suppose we are testing a coin using observations of tosses. We wish to test H0: p = 0.5 against an alternative of HA : p = 0.6 (in this question use one-sided tests only). How many tosses are needed to guarantee a size Æ∑ 0.05 and Ø∑ 0.2?
    2. Now generalize to consider HA : p = 0.5+delta. Choose sensible values for delta and quantify the number of observations needed as a function of delta

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