Yes you are right. You have degrees of freedom for the distribution. Here we have a 2-sided test, so we should be looking at a right (or left) tailed area of with degrees of freedom. Using the table below, we can extract the critical value for the desired confidence interval. (At the rows, you should be looking at and at the columns you should be reading ).

Answer from Ahmad Bazzi on Stack Exchange
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Coconino Community College
coconino.edu › resources › files › pdfs › academics › sabbatical-reports › kate-kozak › appendix_table.pdf pdf
Appendix: Critical Values Tables 433 Appendix: Critical Value Tables
Table A.2: Critical Values for t-Interval · Appendix: Critical Values Tables · 434 · Table A.1: Normal Critical Values for Confidence Levels · Confidence Level, C · Critical Value, zc · 99% 2.575 · 98% 2.33 · 95% 1.96 · 90% 1.645 · 80% 1.28 · Critical Values for Zc created using ...
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University of Regina
uregina.ca › ~gingrich › tt.pdf pdf
t-distribution Confidence Level 60% 70% 80% 85% 90% 95% 98% 99% 99.8% 99.9%
t-distribution · Confidence Level · 99.8% · 99.9% · Level of Significance · 2 Tailed · 0.002 · 0.001 · 1 Tailed · 0.075
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Colorado State University
stat.colostate.edu › inmem › gumina › st201 › pdf › Utts-Heckard_t-Table.pdf pdf
0 t critical value -t critical value t curve Central area t critical values
t critical values · Confidence area captured: 0.90 · 0.95 · 0.98 · 0.99 · Confidence level: 90% 95% 98% 99% 1 · 6.31 · 12.71 · 31.82 · 63.66 · 2 · 2.92 · 4.30 · 6.97 · 9.93 · 3 · 2.35 · 3.18 · 4.54 · 5.84 · 4 · 2.13 · 2.78 · 3.75 · 4.60 ·
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Yale Statistics
stat.yale.edu › Courses › 1997-98 › 101 › confint.htm
Confidence Intervals
Descriptive Statistics Variable ... the mean based on the sample mean 98.249 and sample standard deviation 0.733, first find the 0.025 critical value t* for 129 degrees of freedom....
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Vedantu
vedantu.com › question-answer › zscore-for-a-98-confidence-interval-class-11-maths-cbse-606de8d1123e4277dcd60e67
What is the zscore for a 98 confidence interval class 11 maths CBSE
March 3, 2025 - For the tail point of both the ... for 98% confidence. So, by reading the values in the table and solving this, we get that the z-score of a 98% confidence interval is 2.326....
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Crafton Hills College
craftonhills.edu › current-students › tutoring-center › mathematics-tutoring › distribution_tables_normal_studentt_chisquared.pdf pdf
Confidence Interval Critical Values, zα/2 Level of Confidence
Confidence Interval Critical Values, zα/2 · Level of Confidence · Critical Value, z α/2 · 0.90 or 90% 1.645 · 0.95 or 95% 1.96 · 0.98 or 98% 2.33 · 0.99 or 99% 2.575 · Hypothesis Testing Critical Values · Level of Significance, α · Left-Tailed · Right-Tailed ·
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Usu
math.usu.edu › schneit › StatsStuff › Inference › confidenceintervals.html
Confidence Intervals
The Confidence level, $(1-\alpha)100\%$, specifies the probability that the confidence interval covers the true parameter value. A confidence interval for a mean has the form introduced previously: point estimate $\pm$ the margin of error. The margin of error itself is composed of a critical value that gives the desired confidence level, and the standard error thus the general form of the confidence interval can be re-written as: $$\text{point estimate }\pm \text{(critical value)}\times\text{(standard error)}$$
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Omni Calculator
omnicalculator.com › statistics › critical-value
Critical Value Calculator
June 18, 2025 - The critical value calculator helps you find the one- and two-tailed critical values for the most widespread statistical tests.
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Vaia
vaia.com › all textbooks › math › elementary statistics › chapter 7 › q8
Q8 Finding Critical Values. In Exer... [FREE SOLUTION] | Vaia
The level of significance is 98%. ... A critical value is a point on the test distribution that is compared to the test statistics to determine whether to reject the null hypothesis.