Random sample of n=1300 registered voters and found that 670 would vote for the republican candidate in a state senate race. let p represent the proportion of registered voters who would vote for the republican candidate. consider testingh0: p=.50 ha: p> .50

We need to test the hypotheses:

The confidence interval for proportion is

.

Here

The z value to be used is 1.96.

The 95% CI is

.

Since 0.5 lies in the interval (0.488,0.543), we cannot reject the null hypothesis with 95% confidence.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column