Question

Please how all detailed work! Please and Thanyou!!!

1. If the sample size is increased in a hypothesis test, keeping the α fixed, the type II error
Select one:
a)It does not change
b)Increases
c)Can't predict what will happen
d) Decreases

2. The confidence level in a confidence interval represents:
Select one:
a)The probability that that particular interval contains the true value of the parameter
b)The probability that the actual value of the parameter is within that range at any given time
c)How sure we are of having correctly estimated the parameter
d)None of the options exposed

Answer 1

1.

d) Decreases

Reason : As the sample size increases the sensitvity of the hypothesis test increases and there are more chances if rejecting the null hypothesis increases when infact the null hypothesis is false. Therefore the probability of making type II error decreases when the sample size increases.

2.

b)The probability that the actual value of the parameter is within that range at any given time

Reason : The confidence interval denotes the level of confidence we have that the inter al contains the true value of the parameter