Announcements
#1
Can anyone help me how to solve this problem. I am very confused. The question is "A clairvoyant claims that he can tell the suit of any card drawn randomly from a pack of 52 cards. In a test he succeeds 4 out of 6 cards . Carry out a test at a 2.5 percent signifance level to see whether his claim is realistic or not ."
0
1 month ago
#2
(Original post by jaanipola)
Can anyone help me how to solve this problem. I am very confused. The question is "A clairvoyant claims that he can tell the suit of any card drawn randomly from a pack of 52 cards. In a test he succeeds 4 out of 6 cards . Carry out a test at a 2.5 percent signifance level to see whether his claim is realistic or not ."
You need to set up a hypothesis test with a binomial distrobution. The null hypothesis would be that he cannot tell the suit of any card. As there are 4 suits the null hypothesis will assume p=0.25 and therefore H1: p>0.25. You are given n the number of tests, x the number of successes so with this you can calculate the probability with P(X >= x)~B(p,n) and either accept or reject the null hypothesis.
Last edited by grhas98; 1 month ago
0
#3
(Original post by grhas98)
You need to set up a hypothesis test with a binomial distrobution. The null hypothesis would be that he cannot tell the suit of any card. As there are 4 suits the null hypothesis will assume p=0.25 and therefore H1: p>0.25. You are given n the number of tests, x the number of successes so with this you can calculate the probability with P(X >= x)~B(p,n) and either accept or reject the null hypothesis.
I just tried to solve this problem according to your method
n =6
P=0.25
x=4
P( x>=4) = 1- p( x<= 3 ) =1-0.962...=0.037..=3.76% it is greater than 2.5 level so I think it means his claim is false. Null hypothesis says he cannot tell suit of any card so does it mean null hypothesis accept ? Thanks..
0
1 month ago
#4
(Original post by jaanipola)
I just tried to solve this problem according to your method
n =6
P=0.25
x=4
P( x>=4) = 1- p( x<= 3 ) =1-0.962...=0.037..=3.76% it is greater than 2.5 level so I think it means his claim is false. Null hypothesis says he cannot tell suit of any card so does it mean null hypothesis accept ? Thanks..
Yep that’s correct the null hypothesis should be accepted so there isn’t enough evidence for his claim
0
#5
(Original post by grhas98)
Yep that’s correct the null hypothesis should be accepted so there isn’t enough evidence for his claim
Thanks
0
X

new posts Back
to top
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

### Poll

Join the discussion

#### Were exams easier or harder than you expected?

Easier (14)
25.93%
As I expected (15)
27.78%
Harder (22)
40.74%
Something else (tell us in the thread) (3)
5.56%