Janeece built a rectangular garden bed that was 14

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

Step-by-step explanation:

We have the following info given from the problem:

$n= 800$ the random sample of voters selected from the town

$\hat p = 0.34$ represent the proportion of residents favored construction

$p_o = 0.30$ represent the value desired to test.

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

And with the data given we have:

$z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469$

7 0

2 years ago

The radius r and height h of a right circular cone are both increasing at a constant rate of 2 cm/h. At what rate in centimeters

Elden [556K]

Answer:

94.2

Step-by-step explanation:

i honestly dont know if this answer is right but i am currently takeing classes in math about Geometry. We was learning about Word problems, that had to do with volume, Area, and perimeter, and learned what radius is, etc..

So i thought you take the formula it gives you and use. Since Pie means 3.14 you use that in the formula. V= 1×3.14×2×15 = 94.2
you would multiply everything together because every number is close together.
the height is 15 cm, thats how you get 15 at the end.
next step is to solve the equation in your calculator. and it gives you that number. = 94.2

7 0

3 years ago