hypothesis testing

Question 1

null and alternative hypothesis for pmcc hypothesis tests

Answer 1

Question 2

hypothesis testing using PMCC value and critical value

Answer 2

If the correlation coefficient (r) is greater than or equal to the critical value then the null hypothesis is rejected.​

how i do it - draw the line for this - extreme regions - if r value lies in this extreme region then it is significant
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Question 3

what if the PMCC is negative and the critical value is positive

Answer 3

FOR NEGATIVE CORRELATIONS

TAKE CRITICAL VALUE AS NEGATIVE AS IT WILL BE GIVEN TO YOU AS POSITIVE –

Question 4

what do you need for PMCC hypothesis testing - 1st way

Answer 4

PMCC value = r value

critical value

Question 5

how to end off PMCC hypothesis testing

Answer 5

Question 6

what to do if you havent been given critical value for PMCC hypothesis test

Answer 6

compare p values

p value given in the question AND significance level value

Question 7

hypothesis test using p value and significance level - PMCC

Answer 7

draw the bell curve for this - establish significance levels using the lines

if p values more extreme then the p value - then reject null hypothesis

Question 8

what is the probability of incorrectly rejecting the null hypothesis for a particular BINOMIAL test

Answer 8

either the intended significance level or the probability of the test statistic being in the rejection region will be acceptable

Question 9

(spearman’s) rank correlation coefficient

Answer 9

 Between -1 and 1
 -1 negative association
 1 positive association

Question 10

hypothesis test format for rank coefficient

Answer 10

same kinda thing as r values PMCC one

Question 11

binomial hypothesis test - normal way

Answer 11

find probability of x being less than / greater than that value in the question

compare to significance level

Question 12

results of a binomial hypothesis test - normal way

Answer 12

if probability GREATER THAN significance level = NOT SIGNIFICANT

if probability LESS than significance level = SIGNIFICANT

Question 13

Binomial test - greater than

Answer 13

probability that p(x >=22) = 1- p(<=21)

REMEMBER THAT

Question 14

if its two tailed

Answer 14

half significance level

Question 15

binomial hypothesis - critical region method

Answer 15

first probability value to be LESS than significance level = CRITICAL REGION

Question 16

what to include ending off ALL hypothesis tests

Answer 16

• insufficient / sufficient evidence
• reject / do not reject
• put into context - SUGGESTS

Question 17

formula for normal hypothesis test // distribution

Answer 17

Question 18

example of normal hypothesis test - normal way

Answer 18

Question 19

results of normal hypothesis tests - normal way

Answer 19

If p value is LESS than significance level - it is significant

if P value is MORE than significance level - it is not significant

Question 20

example of normal hypothesis test - critical region way

Answer 20

inverse normal with the area as your significance level

find the boundary

Question 21

results of critical region method - normal hypothesis test

Answer 21

If your value is MORE extreme then critical value - IS significant

draw bell curve every time

Question 22

describe test statistic way

Answer 22

use inverse normal with the significance level to find CRITICAL VALUE

use z score to find the actual z score that matches with your distribution - remember standard deviation funny

if your z score is more extreme - it is significant

Question 23

okay but your not given the population standard deviation your given the sample standard deviation

Answer 23

TREAT IT EXACTLY LIKE THE POPULATION ONE

even though its a already a sample standard deviation…

STILL NEED TO DO VARIANCE OVER n

Question 24

summary statistic example

Answer 24