The sample should include 2702 men and 2702 women.
Given that you want to be 99% sure your error doesn't exceed 0.035.
A sample is a group of people selected from a larger population to provide data to researchers. The number of members of the population included in the sample is called the sample size.
The significance level is the probability that the test statistic is in the critical range if the null hypothesis is actually true. The confidence interval is 99% or 0.99.
The level of significance α = 1-0.99 = 0.01
the margin of error, ME = 0.035
The Z-critical value at the 99% confidence level or at the significance level of 0.01 is 2.575 (from standard normal tables).
We will now use the formula:[tex]n=\frac{Z^2_{critical}}{2(ME)^2}[/tex].
Substitute the values in the above formula, we get
n = (2.575) ² / (2 × (0.035) ²)
n = 6.630625 / (2 × 0.001225)
n = 6.630625 / 0.00245
n = 2701.966
Therefore, the sample should include 2702 males and 2702 females with a 99% certainty that the error does not exceed 0.035
Learn more about significance level from here brainly.com/question/4599596
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