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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 Answer is 172.001