Complete question :
Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In February of 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. H : Pi - P2 - Select your answer HA : P1 P2 - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012? Round your answer to two decimal places. In 2010?
Answer:
H0 : p1 - p2 = 0
H1 : p1 - p2 ≠ 0
Phat 2010 = 0.35
Phat 2012 = 0.41
Step-by-step explanation:
The null and alternative hypothesis :
H0 : p1 - p2 = 0
H1 : p1 - p2 ≠ 0
The null means there is no difference in proportion for the two years while the alternative claims that there is difference in proportion for the two years.
Sample proportion for 2010:
Phat = x / n
x = 315 ; n = 900
Phat = 315 / 900
Phat = 0.35
Sample proportion for 2012 :
Phat = x / n
x = 410 ; n = 1000
Phat = 410 / 1000
Phat = 0.41
First u have to expand the brackets...
4 x 2z = 8z
4 x 3 = 12
8z + 12 = 12
Then you have to get numbers on one side, and letter on the other...
8z -12 = 12-12
8z = 0
then u have to divide 8z by 8 to find 1z or just z.
z = (0/8) = 0
z=0
Hope this helps :)
Answer:
4.25
Step-by-step explanation:
Here in this question, we want to calculate the mean absolute deviation of the data.
The first thing we will do here is to calculate the mean;
= (74 + 79 + 76 + 85 + 87 + 83 + 86 + 78)/8 = 81
Now, the next thing to do here is to calculate how far each of the values have deviated from the mean. This can be calculated by subtracting the mean from each individual value;
This is presented in the table on the attachment, please check attachment for this
Afterwards, we find the absolute value of all these subtractions then divide by 8 which is the number of values in the data.
Mean absolute deviation = Sum of all absolute deviations/number of values in dataset
