Answer:
789,091 to the nearest ten thousand is
790,000
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.
Answer:
THE THIRD OPTION
Step-by-step explanation:
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
