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# Download For large numbers of degrees of freedom, the critical values can be

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```For large numbers of degrees of freedom, the critical
values can be
approximated as follows:
where k is the number of degrees of freedom and z is the critical value. To find
the lower critical value, the negative z-value is used, to find the upper critical
value, the positive z-value is used. Use this approximation to estimate the critical
value of in a right-tailed hypothesis test with n=132 and
=0.01
Round to the nearest three decimal places.
Find the critical value of chi-square for a right tailed hypothesis with n=132 and
  0.01 ?
For   0.01 the critical value of z for right tailed test is 2.33
1
2
 2  ( z  2k  1) 2
1
(2.33  2 *132  1) 2
2
 172.001
