Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.
1 answer:
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Answer:
80%.
Step-by-step explanation:
Given the following probabilities:
- P(Micheal Being admitted to French), P(F)=50%
- P(Micheal Being admitted to Spanish), P(S)=50%
In Probability Theory, when we have BOTH , we mean the intersection of the probabilities. Therefore:
- P(Micheal Being admitted to BOTH French and Spanish),
We want to determine the probability that he will be enrolled in either French or Spanish (or possibly both).
Probability of either A OR B =
From Probability Theory:
The probability that he will be enrolled in either French or Spanish (or possibly both) is 80%.
Answer:
a) Hypothesis:
:
:
Where represent the average nose size of male and female respectively.
In words,
: Males and females have the same size noses, on average.
: Males have bigger noses than females, on average.
b) We have evidence that males have bigger noses than females, on average.
Step-by-step explanation:
a) The study wishes to investigate if males have bigger noses than females, on average. By hypothesis test, the null hypothesis is the hypothesis we usually want to reject. That is, we want to prove that the male and female nose sizes are not the same. Hence, the null hypothesis will assume equality. And we state that:
: Males and females have the same size noses, on average.
: Males have bigger noses than females, on average.
b) We are told that the p-value < 0.01. In general, if the assume 5% as the level of significance (). The decision is:
If p-value is less than the , the test is significant otherwise, the test is insignificant.
The given p-value is less than 5% => 0.05, therefore, we say the test is significant. and we conclude that, we have evidence that males have bigger noses than females, on average.