Suppose that we want to test Ho : p = 0.5 vs H, : p > 0.5 where the parameter p is the probability of occurrence of some event, e.g., a coin falling heads. Let us use X, the number of successes on n = 4 trials, as the test statistic. (a) If when the data are gathered, x = 2. Find the P-value. (b) If Ha : p # 0.5, what is the P-value for x = 2?

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Suppose that we want to test
Ho : p = 0.5 vs Ha : p> 0.5
where the parameter p is the probability of occurrence of some event, e.g., a coin falling heads. Let us use X, the number of successes on
n = 4 trials, as the test statistic.
(a) If when the data are gathered, x = 2. Find the P-value.
(b) If Ha : p + 0.5, what is the P-value for x = 2?
Transcribed Image Text:Suppose that we want to test Ho : p = 0.5 vs Ha : p> 0.5 where the parameter p is the probability of occurrence of some event, e.g., a coin falling heads. Let us use X, the number of successes on n = 4 trials, as the test statistic. (a) If when the data are gathered, x = 2. Find the P-value. (b) If Ha : p + 0.5, what is the P-value for x = 2?
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