Question

What is the p-value of a left-tailed one-mean hypothesis test, with a test statistic of z0=−1.31? (Do not round your answer; compute your answer using a value from the table below.)

z−1.5−1.4−1.3−1.2−1.10.000.0670.0810.0970.1150.1360.010.0660.0790.0950.1130.1330.020.0640.0780.0930.1110.1310.030.0630.0760.0920.1090.1290.040.0620.0750.0900.1070.1270.050.0610.0740.0890.1060.1250.060.0590.0720.0870.1040.1230.070.0580.0710.0850.1020.121

A sports magazine claims that in a certain country, 45% of people like soccer A news channel asked 30 randomly selected people if they like playing soccer. Of those, 18 responded positively. To determine if 45% of the people like soccer in that country, the news channel conducted a hypothesis test as follows:
H0:p0=0.45
Hα:p0≠0.45
Find the test statistic for the given data. Round your answer to three decimal places.

Answer 1

Answer 1

z = -1.31 for a left tailed hypothesis

Using z distribution, check -1.3 in the first left column and 0.01 in the first row, select the intersecting cell, this gives

p value = 0.0951

rounding to 3 decimals, p value = 0.095 (this is also found in the given table)

Answer 2

sample proportion p(hat)= 18/30 = 0.60

populationn proportion po = 0.45

sample size is n = 30

z test statistics =

= 1.651 (rounded to three decimals)