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Hypotheses, the sample statistic, and the standard error are given. Find the value of the standardized...

Hypotheses, the sample statistic, and the standard error are given. Find the value of the standardized z-test statistic and then use the standard normal distribution to find the p-value. Assume the sample size is large enough to use the standard normal distribution.

Test H0 : p=0.35 vs Ha : p>0.35 when the sample has p^=0.41 and the standard error is SE=0.02. Round your answers to three decimal places.

a) test statistic =

b) p-value=

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Answer #1

a) The test statistic is given by

b) Since the alternate hypothesis is , the p-value is just the probability that a standard normal random variable takes a value >3. This probability is 0.00135.

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