Mixing
What are the relevant hypothesis?
$begingroup$
Octopus Paul in 2010 predicted $8$ matches out of $8$ correctly during the football World Cup. Assume that Paul predicts the winner of a match with probability $p$, assume also that a match can not end with draw. You wish to investigate whether Paul has exceptional prediction abilities by using a statistical test, What are the relevant hypothesis?
1) $H_0:p=0.5$, $H_1:p>0.5$
2) $H_0:p<1$, $H_1:p=1$
3) $H_0:p=1$, $H_1:p<1$
4) $H_0:p>0.5$, $H_1:p=0.5$
I think that the correct one is number 4 because we investigate if the probability of prediction is higher that 0.5 (random selection) it's right?
probability statistics hypothesis-testing
asked Jan 26 at 9:55
Luke MarciLuke Marci
856
$endgroup$
add a comment |
$begingroup$
Octopus Paul in 2010 predicted $8$ matches out of $8$ correctly during the football World Cup. Assume that Paul predicts the winner of a match with probability $p$, assume also that a match can not end with draw. You wish to investigate whether Paul has exceptional prediction abilities by using a statistical test, What are the relevant hypothesis?
1) $H_0:p=0.5$, $H_1:p>0.5$
2) $H_0:p<1$, $H_1:p=1$
3) $H_0:p=1$, $H_1:p<1$
4) $H_0:p>0.5$, $H_1:p=0.5$
I think that the correct one is number 4 because we investigate if the probability of prediction is higher that 0.5 (random selection) it's right?
probability statistics hypothesis-testing
asked Jan 26 at 9:55
Luke MarciLuke Marci
856
$endgroup$
1
$begingroup$
Not quite: your question is whether Paul was special in some extreme way. Most octopuses (or octopodes) would be assumed to choose at random
$endgroup$
– Henry
Jan 26 at 12:07
1
$begingroup$
So if we assume that he choose randomly it should be number one right?
$endgroup$
– Luke Marci
Jan 26 at 13:02
add a comment |
$begingroup$
Octopus Paul in 2010 predicted $8$ matches out of $8$ correctly during the football World Cup. Assume that Paul predicts the winner of a match with probability $p$, assume also that a match can not end with draw. You wish to investigate whether Paul has exceptional prediction abilities by using a statistical test, What are the relevant hypothesis?
1) $H_0:p=0.5$, $H_1:p>0.5$
2) $H_0:p<1$, $H_1:p=1$
3) $H_0:p=1$, $H_1:p<1$
4) $H_0:p>0.5$, $H_1:p=0.5$
I think that the correct one is number 4 because we investigate if the probability of prediction is higher that 0.5 (random selection) it's right?
probability statistics hypothesis-testing
asked Jan 26 at 9:55
Luke MarciLuke Marci
856
$endgroup$
Octopus Paul in 2010 predicted $8$ matches out of $8$ correctly during the football World Cup. Assume that Paul predicts the winner of a match with probability $p$, assume also that a match can not end with draw. You wish to investigate whether Paul has exceptional prediction abilities by using a statistical test, What are the relevant hypothesis?
1) $H_0:p=0.5$, $H_1:p>0.5$
2) $H_0:p<1$, $H_1:p=1$
3) $H_0:p=1$, $H_1:p<1$
4) $H_0:p>0.5$, $H_1:p=0.5$
I think that the correct one is number 4 because we investigate if the probability of prediction is higher that 0.5 (random selection) it's right?
probability statistics hypothesis-testing
probability statistics hypothesis-testing
asked Jan 26 at 9:55
Luke MarciLuke Marci
856
asked Jan 26 at 9:55
Luke MarciLuke Marci
856
asked Jan 26 at 9:55
Luke MarciLuke Marci
856
asked Jan 26 at 9:55
Luke MarciLuke Marci
856
asked Jan 26 at 9:55
Luke MarciLuke Marci
856
856
1
$begingroup$
Not quite: your question is whether Paul was special in some extreme way. Most octopuses (or octopodes) would be assumed to choose at random
$endgroup$
– Henry
Jan 26 at 12:07
1
$begingroup$
So if we assume that he choose randomly it should be number one right?
$endgroup$
– Luke Marci
Jan 26 at 13:02
add a comment |
1
$begingroup$
Not quite: your question is whether Paul was special in some extreme way. Most octopuses (or octopodes) would be assumed to choose at random
$endgroup$
– Henry
Jan 26 at 12:07
1
$begingroup$
So if we assume that he choose randomly it should be number one right?
$endgroup$
– Luke Marci
Jan 26 at 13:02
1
1
$begingroup$
Not quite: your question is whether Paul was special in some extreme way. Most octopuses (or octopodes) would be assumed to choose at random
$endgroup$
– Henry
Jan 26 at 12:07
$begingroup$
Not quite: your question is whether Paul was special in some extreme way. Most octopuses (or octopodes) would be assumed to choose at random
$endgroup$
– Henry
Jan 26 at 12:07
1
1
$begingroup$
So if we assume that he choose randomly it should be number one right?
$endgroup$
– Luke Marci
Jan 26 at 13:02
$begingroup$
So if we assume that he choose randomly it should be number one right?
$endgroup$
– Luke Marci
Jan 26 at 13:02
add a comment |
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1
$begingroup$
Not quite: your question is whether Paul was special in some extreme way. Most octopuses (or octopodes) would be assumed to choose at random
$endgroup$
– Henry
Jan 26 at 12:07
1
$begingroup$
So if we assume that he choose randomly it should be number one right?
$endgroup$
– Luke Marci
Jan 26 at 13:02