find the 95% confidence interval for the change in public opinion after the nuclear accident in japan. interpret your interval in the context of this situation.

Answer :

There is a 95% confidence  chance that the true difference in public opinion (before and after the nuclear accident in Japan) is between 4% and 12%.

Let's say we want to produce a 95% confidence interval estimate for a nuclear accident mean that is unknown. As a result, there is a 95% chance that the confidence interval will include the actual population mean. For a 95% confidence level, the value of z* is 1.96. A margin of error of 3.92 is discovered when the value of z*, the population standard deviation, and the sample size are entered into the equation. One formula can be created by combining the formulas for the margin of error and confidence interval. The population mean is identified as a range of values within the 95% confidence interval. Compared to small samples, large samples allow for much more precise knowledge of the mean, increasing the confidence Another often used indicator of precision is the 95% confidence interval. It is calculated by creating a range of values that is 95% likely to contain the true mean using the standard deviation.

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