Using the side lengths determine whether the triangle is acute obtuse or right 4 8 5

Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 hav

Furkat [3]

Answer:

There is no significant evidence that p1 is different than p2 at 0.01 significance level.

99% confidence interval for p1-p2 is -0.171 ±0.237 that is (−0.408, 0.066)

Step-by-step explanation:

Let p1 be the proportion of the common attribute in population1

And p2 be the proportion of the same common attribute in population2

$H_{0}$ : p1-p2=0

$H_{a}$ : p1-p2≠0

Test statistic can be found using the equation:

$z=\frac{p2-p1}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

p1 is the sample proportion of the common attribute in population1 ( $\frac{16}{30} =0.533$ )

p2 is the sample proportion of the common attribute in population2 ( $\frac{1337}{1900} =0.704$ )

p is the pool proportion of p1 and p2 ( $\frac{16+1337}{30+1900}=0.701$ )

n1 is the sample size of the people from population1 (30)

n2 is the sample size of the people from population2 (1900)

Then $z=\frac{0.704-0.533}{\sqrt{{0.701*0.299*(\frac{1}{30} +\frac{1}{1900}) }}}$ ≈ 2.03

p-value of the test statistic is 0.042>0.01, therefore we fail to reject the null hypothesis. There is no significant evidence that p1 is different than p2.

99% confidence interval estimate for p1-p2 can be calculated using the equation

p1-p2± $z*\sqrt{\frac{p1*(1-p1)}{n1}+\frac{p2*(1-p2)}{n2}}$ where

z is the z-statistic for the 99% confidence (2.58)

Thus 99% confidence interval is

0.533-0.704± $2.58*\sqrt{\frac{0.533*0.467}{30}+\frac{0.704*0.296}{1900}}$ ≈ -0.171 ±0.237 that is (−0.408, 0.066)

7 0

2 years ago

6. The total cost of materials to build the foam

Sophie [7]

Answer:

Cost of Material per square foot = $1.7

Step-by-step explanation:

Given:

Length = 24

Width = 12

Height = 6.5

Find:

Cost of Material per square foot

Computation:

TSA of pit = 2[bh + hl] + lb

TSA of pit = 2[(12)(6.5) + (24)(6.5)] + (24)(12)

TSA of pit = 2[78+156] + 288

TSA of pit = 756 square foot

Cost of Material per square foot = 1,285.20 / 756

Cost of Material per square foot = $1.7

4 0

2 years ago

Two sides of a triangle measure 10 centimeters and 15 centimeters what is the measure of the third side

Lady_Fox [76]

Between Greater Than 5 And less than 25

Rule says the sum of two sides must be greater than the third
You get e extremes by subtracting the numbers and the other by adding them

8 0

2 years ago

3. There were 15,876 fans at the first MLS soccer game and 13,759 at the second game. How many more fans were at the first game?

laila [671]

Answer:

2117 more fans

Step-by-step explanation:

So, all you do is just subtract 15,876 from 13,759, which gives 2117 more fans.

Hope I helped !!!

5 0

2 years ago

The zookeeper has 9 cups of frog food. His frogs eat one half cup of frog each day. How many days can he feed the frogs before t

lubasha [3.4K]

Answer:

18 days

Step-by-step explanation:

It depends on the number of frogs, but if there is one frog then it would be...

9÷.5= 18 (18 half cups in 9 cups)

Therefore, one frog can eat for 18 days because it is only eating .5 a day.

7 0

2 years ago

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