Two groups of friends go to a basketball game. Each group plans to share snacks. The first group buys 5 drinks and 6 pretzels fo
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:
This is approximately to the nearest hundredth
Step-by-step explanation:
First of all, we will need to understand that to find the lateral surface area of the cylinder, we simply need to multiply the circumference of the circular base by the height of the cylinder.
In this case, the circumference of the circular base can be obtained by the formula
Hence we will have the circumference as
Tp get the Lateral area, we will simply have to multiply this value (7.85 feet )
by the height (4.8 feet)
7.85 X 4.8 =
This is approximately to the nearest hundredth