What are some equivalent expressions of 0.003 x 0.00009
1 answer:
You might be interested in
Answer:
The null and alternative hypothesis can be written as:
Step-by-step explanation:
This is a hypothesis test for the difference between proportions.
The claim is that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.
This claim will be reflected in the alternnative hypothesis, that will state that the population proportion 1 (18 to 34) is significantly smaller than the population proportion 2 (35 to 49).
On the contrary, the null hypothesis will state that the population proportion 1 is ot significantly smaller than the population proportion 2.
Then, the null and alternative hypothesis can be written as:
The significance level is assumed to be 0.05.
The sample 1, of size n1=200 has a proportion of p1=0.63.
The sample 2, of size n2=175 has a proportion of p2=0.68.
The difference between proportions is (p1-p2)=-0.05.
The pooled proportion, needed to calculate the standard error, is:
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the z-statistic as:
This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):
As the P-value (0.1554) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.
Answer:
The dimensions of the rectangle would be a Length of 7 units and a Height of 6 units, or C. 6 units and D. 7 units
Step-by-step explanation:
The <u>dimensions</u> of the rectangle are found by calculating the distance between various corner points. (We can find the distance between any two points if we know their coordinates. So in the figure (of your question):
HEIGHT - of the rectangle is the distance between A and B ( or C,D). The formula for the distance between two points, is (square root) of dx squared (distance in x-coordinates of A,B ) + dy squared (distance in y-coordinates of A,B)
AB = = 7.2
WIDTH - is the distance between B and C (or A,D). The formula for the distance between two points, is (square root) of dx squared (distance in x-coordinates of B,C) + dy squared (distance in y-coordinates of B,C)
BC = = 6.3
LENGTH of a DIAGONALS is the distance between opposite corners, say B and D (or A,C since the diagonals are congruent).
BD = = 9.5