Suppose we want to test whether true population parameter equals a certain numbe

Question

Suppose we want to test whether true population parameter equals a certain number. Consider the following hypothesis test Where Ho is the null hypothesis, H1 is the alternative hypothesis, and c a constant. Let be an estimator of What role does the central limit theorem play in the construction of confidence intervals? O A To construct a confidence interval for it is necessary to know the sampling distribution ote under the null hypothesis f the sampling distribution is unknown. O B. The central limit theorem allows us to directly compute the true value of O c. To construct a confidence interval for 0, it is necessary to know the sampling distribution of under the null hypothesis if the sampling distribution is unkno n O D. The central limit theorem plays no role in the construction of confidence intervals 0. the central limit theorem says that it can be approximated by a normal distribution when the sample size n is sufficiently small the central limit theorem says that it can be approximated by a normal distribution when the sample size n is sufficiently large

Explanation / Answer

Correct option: (c)

Reason: Central limit theorem applies normal distribution to a large sample size.

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