Answer: We do not reject the null hypothesis.
Step-by-step explanation:
- When the p-value is greater than the significance level , then we do not reject the null hypothesis or if p-value is smaller than the significance level , then we reject the null hypothesis.
Given : Test statistic : 
Significance level : 
By using the standard normal distribution table ,
The p-value corresponds to the given test statistic ( two tailed ):-
Since the p-value is greater than the significance level of 0.02.
Then , we do not reject the null hypothesis.
This is an exponential growth/decay problem...
F=Ir^t, F=final value, I=initial value, r=rate, t=time, in this case:
F=I(1.03)^t and they just want to know when F=2I so
2=1.03^t take natural log of both sides...
ln2=t*ln1.03
t=ln2/(ln1.03)
t≈23.45
So it will take approximately 23.45 years for the population to double..
1990+23.45=2013.45
So during the year of 2013 the population will have double from its 1990 level.
Use slope formula
(y1-y2)/(x1-x2)
(16 - -19)/(0 - 4) = 35/-4
The question above makes use of the concept of ratio and proportion in a form of scaling. If we let x and y be the true length and width, the equations that best describe them are,
0.5 cm / 1 inch = 2.5 cm / x in ; x = 5 in
0.5 cm / 1 inch = 4.75 cm / y in ; y = 9.5 in
Therefore, the true length and width of Rueben's flag is 5 in and 9.5 in, respectively.
