Answer:
Since is a bilateral test the p value would be given by:
And since the p value is higher than the significance level we have enough evidence to conclude that the true proportion is not significantly different from 0.58
Step-by-step explanation:
Information given
n=600 represent the random sample selcted
X=339 represent the number of females aged 15 and older that living alone
estimated proportion of females aged 15 and older that living alone
is the value that we want to check
represent the significance level
z would represent the statistic
represent the p value
Sytem of hypothesis
We want to check if the true proportion females aged 15 and older that living alone is significantly different from 0.58.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
Since is a bilateral test the p value would be given by:
And since the p value is higher than the significance level we have enough evidence to conclude that the true proportion is not significantly different from 0.58
Answer:
C
Step-by-step explanation:
Y - 4 = -2x + 10 Multiply -2 to the inside the brackets
Y = -2x + 14 Add the 4 over
Answer:

And the best answer on this case would be:
b) m = 4.635
Step-by-step explanation:
Let X the random variable of interest and we know that the confidence interval for the population mean
is given by this formula:

The confidence level on this case is 0.9 and the significance 
The confidence interval calculated on this case is 
The margin of error for this confidence interval is given by:

Since the confidence interval is symmetrical we can estimate the margin of error with the following formula:

Where Upper and Lower represent the bounds for the confidence interval calculated and replacing we got:

And the best answer on this case would be:
b) m = 4.635
Answer:

Step-by-step explanation:
Given
The attached triangle
Required
Find cos V
In trigonometry:

In this case:

Where

and
-- Pythagoras


Take square roots




So:



Rationalize:

