Respuesta :
The sample size 'n' is determined not just by the specified margin of error, in addition to the confidence level.
What is confidence level?
In statistics, a confidence interval denotes the likelihood that a population parameter would then fall between such a set of values for a specific proportion of the time.
- Analysts frequently employ confidence intervals that contain 95% or 99% of the expected observations.
- Thus, if a point estimate of 10.00 is generated from a statistical model to a 95% confidence interval of 9.50 - 10.50, there is a 95% chance that the true value falls in that range.
Now, according to the question;
Assume you want to compare the length of time spent on commercial breaks for two distinct types of television shows.
The steps that can be taken to determine the sample size for a given margin of error:
Step 1 - The confidence interval formula is as follows:
[tex]\mathrm{CI}=\overline{\mathrm{x}}+\mathrm{z}_{\alpha / 2} \times \frac{\sigma}{\sqrt{\mathrm{n}}}[/tex]
Step 2 - The margin of error formula for this interval is as follows:
[tex]\mathrm{MOE}=\mathrm{z}_{\alpha / 2} \times \frac{\sigma}{\sqrt{\mathrm{n}}}[/tex]
Step 3: For sample size 'n,' solve the above expression.
[tex]\mathrm{n}=\left(\frac{\mathrm{z}_{\alpha / 2} \times \sigma}{\mathrm{MOE}}\right)^2[/tex]
Therefore, based on the preceding steps, it is possible to conclude that, It is dependent not only on the specified margin of error, but also upon the confidence level.
To know more about confidence level, here
https://brainly.com/question/15712887
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