L4&5- hypothesis testing

Question 1

reject H0 when

Answer 1

z > z* ; |test stat| > |cv|

Question 2

test stat for large sample

Answer 2

z = (p-𝜋) / [𝜋(1-𝜋)/n]

Question 3

test stat general formula

Answer 3

(sample est) - (hypothesises val) / SE

Question 4

if test stat < cv

Answer 4

not enough evidence to reject H0 (decision rule)

Question 5

if sample size is small

Answer 5

t distribution

Question 6

test stat for t distr

Answer 6

t = (x̄ - μ) / [√s^2 / n)

Question 7

if |test stat| < |t*|

Answer 7

cannot reject H0 (decision rule)

Question 8

method

Answer 8

• H0 and H1
• sign level -> alpha / 2
• look up cv (z* or t*)
• compute test stat
• decision rule
• sketch

Question 9

chi squared distr characteristics

Answer 9

asymmetric, non negative (no +/-), depends on v

Question 10

when is z / t used

Answer 10

testing for means

Question 11

when is chi squared used

Answer 11

estimating pop var (point & interval estimate)

Question 12

f table F*

Answer 12

⍺/2, v, v = F*

Question 13

calculating test stat

Answer 13

larger variance on top