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What is the interpretation of a 96% confidence level? Select one:

a. There's a 96% chance that the given interval includes the true value of the population parameter.

b. Approximately 96 out of 100 such intervals would include the true value of the population parameter.

c. There's a 4% chance that the given interval does not include the true value of the population parameter.

d. The interval contains 96% of all sample means.

Respuesta :

JeanaShupp

Answer:  a. There's a 96% chance that the given interval includes the true value of the population parameter.

Step-by-step explanation:

The interpretation for the [tex](1-\alpha)\%[/tex] confidence interval , (where [tex]\alpha[/tex] = Significance level ) is that :

A person can be [tex](1-\alpha)\%[/tex] confidence that the true population parameter lies in [tex](1-\alpha)\%[/tex] confidence interval .

i.e. the chances of confidence interval has true population parameter = [tex](1-\alpha)\%[/tex]

Similarly , the interpretation of a 96% confidence level would be :

A person can be 96% confidence that the true population parameter lies in 96% confidence interval .

i.e.  There's a 96% chance that the given interval includes the true value of the population parameter.

Therefore , the correct answer is a. There's a 96% chance that the given interval includes the true value of the population parameter.