SOLUTION: The test statistic of z equals 2.13 is obtained when testing the claim that p is greater than 0.2. a. Identify the hypothesis test as being​ two-tailed, left-tailed, or​ right

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Question 1133103: The test statistic of z equals 2.13 is obtained when testing the claim that p is greater than 0.2.
a. Identify the hypothesis test as being​ two-tailed, left-tailed, or​ right-tailed.
b. Find the​ P-value.
c. Using a significance level of alphaequals0.10​, should we reject Upper H 0 or should we fail to reject Upper H 0​?
a. This is a
right-tailed
test.
b.​ P-value = (Round to three decimal places as​ needed.)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the test is for greater than, therefore it's a one-tailed test.
the p-value of the test is the probability of getting a z-score greater than 2.13.

that p-value would be equal to .0165857472.

that's from my TI-84 Plus Scientific Calculator.

if you looked up the z-score in the normal distribution table, it would have told you that the area to the left of a z-score of 2.13 is equal to .98341.

the area to the right of that z-score would be 1 - .98341 = .01659.

the tables normally tell you the area to the left of the indicated z-score.

if you want the area to the right of the z-score, than take 1 minus the area to the left of the z-score as i did above.

this is the table that i used.

https://www.math.arizonahttps://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf.edu/~rsims/ma464/standardnormaltable.pdf

you look down the left column for the row that has the value of 2.1.

you then look for the column that has the column heading of .03.

that gets you the area of to the left of the z-score of 2.1 + .03 = 2.13.