The critical value is used to test a null hypothesis against an alternative hypothesis at some pre-defined level of significance. A test statistic is calculated from the outcomes of a set of trials and if this test statistic is more extreme than the critical value then the null hypothesis must be rejected in favour of the alternative.
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To find the critical value in statistics, it requires a hypothesis testing. Using the critical value approach can also be helpful in this matter.
Normally you would find the critical value when given the p value and the test statistic.
The two tailed critical value is ±1.55
.99
It depends on whether the interval is one sided or two sided. The critical value for a 2-sided interval is 1.75