Question: 1. Consider a random sample of size n = 100 with sample proportion p = 0.2 from a population with a true unknown proportion p.

1. Consider a random sample of size n = 100 with sample proportion p = 0.2 from a population with a true unknown proportion p. [30pts] (a) [15pts] For the test H0 : p = 0.25 versus Ha : p < 0.25, calculate the relevant test statistic value and p-value. Determine the decision rule for = 0.05 and = 0.01. (b) [15pts] For the test H0 : p = 0.25 versus Ha : p = 0.25, calculate the relevant test statistic value and p-value. Determine the decision rule for = 0.05 and = 0.01

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