Intro to Hypothesis Testing

Question 1

what is the purpose of hypothesis testing?

Answer 1

help with decision-makin, analizing a sample from a population

Question 2

whata r the General steps for hypothesis testing?

Answer 2

1. State null hypothesis and alternate hypothesis
2. Compute test statistic
3. Interpret and make (statistical) decision
4. Final decision

Question 3

what is a null hypothesis?

Answer 3

the hypothesis to be tested/A statement of agreement with conditions presumed to be true in the population

there is no significan difference btw samples

Question 4

what is an alternative hypothesis?

Question 5

General formula for test statistic

Answer 5

= (𝑅𝑒𝑙𝑒𝑣𝑎𝑛𝑡 𝑆𝑎𝑚𝑝𝑙𝑒 𝑆𝑡𝑎𝑡𝑖𝑠𝑡𝑖𝑐−𝐻𝑦𝑝𝑜𝑡ℎ𝑒𝑠𝑖𝑧𝑒𝑑 𝑝𝑎𝑟𝑎𝑚𝑒𝑡𝑒𝑟)/ 𝑆𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝐸𝑟𝑟𝑜𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑆𝑡𝑎𝑡𝑖𝑠𝑡𝑖𝑐

Ex. x-u/SE x: samp. mean u:hyp.par, s=samp sd

Question 6

what is a desire level of significance

Answer 6

A confidence interval of 95% denotes a significance level of alpha= 0.05.

Question 7

p-value:

Answer 7

Probability that the computed value of a test statistic is significant

p>alpha ->no signif/no regection of n_0
p<alpha -> sifn/regection of n_0

A p value indicating that the sample results are not likely to have occurred, if the null hypothesis is true, provides justification for doubting the truth of the null hypothesis.