What is the mean for 0, 1,2,3
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Answer:
Step-by-step explanation:
From this study:
The null hypothesis:
The altenative is:
This test is a two-tailed test.
However; we are told that the wives have 44 success out of 66, then the number of failures will be 22.
Then;
Similarly, the husbands have 18 success out of 46, then the number of failures will be 28
Then:
The pooled proportion
p = 0.55357
The estimated standard error S.E is:
=
= 0.0955
The Z test statitics can now be computed as:
Z = 2.88
Th p -value from the test statistics is:
p-value = 2P(Z > 2.88)
p- value = 2 P (1 - Z < 2.88)
p-value = 2 ( 1 - 0.998)
p-value = 2 ( 0.002)
p -alue = 0.004
Decision Rule:
Thus, at 0.01 significance level, we reject the null hypothesis because, p-value is less than that (i.e. significance level)
Conclusion:
We conclude that there is a significant difference between the proportions.
This is an example of a random variable that follows Bernoulli distribution.
Whenever you perform experiments, with probability
of success, the provability of havin
successes is
In this case, you have (you choose a sample of 3 candidates),
(30% of candidates have a degree in economics) and we want
to be at least one.
One way to solve this is to consider that
But it is much quicker to observe that
And we have
So, the probability that at least one of them has a degree in economics is