Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 421 randomly selected adults showed that 65% of them would erase all of their personal information online if they could. Find the value of the test statistic.

The statistic would be given by:

(1)  

And replacing we got:

Step-by-step explanation:

Information given

n=421 represent the random sample taken

estimated proportion of adults  that would erase all of their personal information online if they could

is the value that we want to test

z would represent the statistic  

Hypothesis to test

We want to check if Most adults would erase all of their personal information online if they could, then the system of hypothesis are :  

Null hypothesis:  

Alternative hypothesis:  

The statistic would be given by:

(1)  

And replacing we got:

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)