Math 225n Week 7 Assignment Conducting A Hypothesis Test For Mean Population Standard Deviation Known P-Value Approach

MATH 225N Week 7 Assignment Conducting a Hypothesis Test for Mean - Population Standard Deviation Known P-Value Approach Question What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=1.73? (Do not round your answer; compute your answer using a value from the table below.) z1.81.71.61.51.4 Great work! That's correct. 0.084 Answer Explanation Correct answers: 0.084 The p-value is the probability of an observed value of z=1.73 or greater in magnitude if the null hypothesis is true, because this hypothesis test is two-tailed. This means that the p-value could be less than z=1.73, or greater than z=1.73. This probability is equal to the area under the Standard Normal curve that lies either to the left of z=1.73, or to the right of z=1.73. A normal curve is over a horizontal axis and is centered on 0. Two points are labeled negative 1.73 and 1.72 The area to the right of 1.73 and to the left of negative 1.73 is shaded. Using the Standard Normal Table given, we can see that the p-value that corresponds with z=1.73 is 0.042, which is just the area to the left of z=1.73. Since the Standard Normal curve is symmetric,