Intro to stats, practice question #4 Suppose a researcher collected data to asse

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Intro to stats, practice question #4

Suppose a researcher collected data to assess if a "majority" of all residents of a particular city were in favor of a newly proposed city ordinance. Her hypotheses are H_0: p = 0.5 versus H_a: p > 0.5. A large enough random sample of residents was obtained and the resulting sample proportion was 0.41. Consider the formula for the z test statistic. Although its exact value cannot be computed without knowing the actual sample size n, it can be determined that the resulting test statistic value will be: Consider the sign of the resulting test statistic value and the hypotheses that are to be tested and 'picture' the p-value. (It is recommended that you actually sketch the picture of the p-value -- draw the model for your z statistic assuming the null hypothesis is true, and then shade the area that would be the p-value.) What can you say about that p-value? O It is equal to 0.05. O It is less than 0.50. O It is equal to 0.50.

Explanation / Answer

a) it have to be negative becouse 0.45< 0.5 and z)= x-miu

b) the correct answer is: it is less than 0.05 becouse The p-value is the smallest allowing accept H1 is the minimum level of significance with which reject H0 with the current sample

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