Find the p-value based on a standard normal distribution for each of the followi
ID: 2947598 • Letter: F
Question
Find the p-value based on a standard normal distribution for each of the following standardized test statistics. (a) Z =-1.09 for a left tail test for a mean Round your answer to three decimal places. p-value= the absolute tolerance is +/-0.01 SHOW HINT LINK TO TEXT (b) Z = 4.11 for a right tail test for a proportion Round your answer to four decimal places. p-value the absolute tolerance is +/-0.01 SHOW HINT LINK TO TEXT (c) z =-1.66 for a two-tailed test for a difference in means Round your answer to four decimal places. p-value= the absolute tolerance is +/-0.01 SHOW HINT LINK TO TEXTExplanation / Answer
Solution :
Using standard normal table,
(a) P(Z < -1.09) = 0.1379
P-value = 0.138
(b ) P(Z > 4.11) = 1 - P(Z < 4.11) = 1 - 1 = 0
P-value = 0
(c) P(Z < -1.66) = 0.0485
P-value = 2 * P(Z < -1.66) = 2 * 0.0485 = 0.0970
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