(1 point) A statistical investigation is conducted to see if the mean of a popul

Question

(1 point) A statistical investigation is conducted to see if the mean of a population of values is equal to 200, or Ho : -200 HA :11200 A random sample of n 60 values is taken from this population of values, from which the mean X and the standard deviation S were computed Assume that the underlying population is normal. From these, the test statistic was found to equal 0.75 (a) Find the P-value. Use four decimals (b) Choose the correct interpretation of the P-value found in (a) A. The probability in (a) is the probability of rejecting the null hypothesis B. The probability in (a) is the probability of conciuding the null hypothesis to be true. c. The probability computed in (a) is the chance of another sample producing stronger evidence against the nul hypothesis, assuming that the null hypothesis is true D. The probability computed in (a) is the probability of rejecting the null hypothesis, assuming that the null hypotnesis is true

Explanation / Answer

a) given test statistic z=0.75

p-value P(Z<0.75) = 0.77337

since p-value is greater than level of significance 0.05, we accept null hypothesis

b) B) the probability in (a) is the probability of concluding the null hypothesis is to be true

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