Three freshmen, 3 sophomores, 3 juniors, and 3 seniors are participating on the debate team. The team's captain is randomly sele
2 answers:
Answer:
3/4
Step-by-step explanation:
probability of any event =
3 freshmen + 3 sophomores + 3 juniors + 3 seniors = 12 participants
∴the total number of participants = 12
P(freshman is a captain) =
=
=
P (freshman is not a captain) = 1 -
=
whenever the probability of an event not happening is being calculated, always subtract the possibility of the occurrence of such event from 1
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Answer:
a) Null and alternative hypothesis:
b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.
c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.
d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%
e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.
Step-by-step explanation:
a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.
Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.
On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.
This can be written as: