Hypothesis testing for P of binomial

Question 1

How do you work out the expected value?

Answer 1

n x p

Question 2

If the test is 2 tailed, what do you do to the significance level?

Answer 2

half the sig level

Question 3

What steps do you need to write out, when hypothesis testing for P of the binomial?

Answer 3

Ho: P =
H1: P=
whether it’s 2 tailed or 1 tailed, and sig level
the expected value (np)
the observed value (given in question)

Question 4

Using the probability method, how would you do hypothesis testing on this claim?

“a car park contains 200 cars, it is observed that 54 cars were silver”

Answer 4

Ho: P=0.35
H1: P≠0.35 2 tailed (5% sig level)
Expected value=np=200x0.35=70
Observed value=54
Observed value is on left side of expected value so use ≤
Work out P(x≤54) = 0.097
0.097 < 0.025
small chance of happening so reject Ho
there is significant evidence to support that the proportion of silver cars is not 35%

Question 5

When do you reject the Ho using probability method (hypothesis testing for P of binomial)?

Answer 5

if test statistic < critical value (sig level)

Question 6

If you’re on the right side of the expected value, what do you use?

Answer 6

≥

Question 7

If you’re on the LEFT side of the expected value, what do you use?

Answer 7

≤

Question 8

How do you use the critical region method, when hypothesis testing for P of binomial?

Answer 8

Find the probability of x that traps the significance level
if the observed value lies in it then reject Ho, it it doesn’t then fail to reject

Question 9

When using the critical region method, when do you reject the Ho?

Answer 9

if the observed value lies in the critical region

Question 10

When using the critical regional method, when do you FAIL TO REJECT the Ho?

Answer 10

if the observed value does not lie in the critical region