You must show your work in order to receive full credit for your answers. This includes writing all formulas and test statistics explicitly and naming any laws/theorems that you use (and explaining...

1)
Solution:
a) The null and the alternate hypothesis is:

Where, 1 is Democrats and 2 is Republican.
b)
c)
It is given that the Democrats are leading over Republican. Therefore, we do reject the null hypothesis and there is a significant lead of Democrats over Republican.
The missing word is ‘significant’.
2)
Solution: Given,
To conduct the hypothesis testing, we need to have the null (HO) and alternative (HA) hypothesis.
The t statistics is calculated as:
    
The t critical value, is calculated at 1% level of significance as this is a right tail test, ta,n-1= 2.998
Also, t statistics < t critical value, we do not reject the null hypothesis.
We have sufficient evidence to claim that the average tar content does not extend 17.5mg.
3) Solution: Given,
The standardization for proportions is done using and value of Z are taken from standard normal table:
    
The required probability for sample size 1 is calculated as:

The required probability for sample size 2 is calculated as:

Hospital Number 1 is more likely to have male births.
4)
Solution: Given,
The...