Question

1. NHST techniques produce probability (p) figures such as p < .06. What event has a probability of .06 in NHST context? Explain.

2. Which of the following phrases go with events that are in the rejection region of a sampling distribution? Circle all that apply. It may be helpful to make a drawing.

p is small // retain the null hypothesis
accept H1 // middle section of the sampling distribution

3. Suppose that the true state of the world is that your sample comes from a population that isdifferent from the population hypothesized by H0. If the significance level is .05, what is the probability of making a Type I error?

Answer 1

Answer:-

Question-2:-

P-value is characterized as the probability of getting as extraordinary or more extraordinary statistic is bearing of alternative hypothesis as found in current sample.

Lower P-value implies lower odds of discovering this extreme sample under null hypothesis (H0), which raises suspicious against null hypothesis (H0).

At the point when P-value is excessively low, we state that this sample is too uncommon to even think about occurring by random chance. We dismiss the null hypothesis (H0) when p-value is less than or equivalent to level of significance, , else we will fail to reject null hypothesis (H0).

in the middle section of sampling distribution, the events are not extreme, and p-value isn't low. hence we retain the null hypothesis (H0) ( i,e, accept null hypothesis(H0), which tends to, do not accept the alternative hypothesis (H1) ).

Hence answer is "retain the null hypothesis".

Question-3:-

Given data:

Level of significance = = 0.05

Here we know that, Type I error = P( rejecting H0 | where H0 is true )

Type I error = = 0.05

Hence, the probability of making a Type I error = = 0.05