Solve using system of equations

The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i

Hunter-Best [27]

Answer:

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

which of the following represents the equation of the line with an x- intercept of 6 that passes through the point (4,4)?

luda_lava [24]

Answer:

$y=-2x+12$

Step-by-step explanation:

To write the equation of a line, find the slope between two points. Substitute two points into the slope formula. If the equation has an x-intercept of 6 then the line passes through the point (6,0). Use (6,0) and (4,4) in the formula.

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-0}{4-6} =\frac{4}{-2} =-2$

Since m = -2, substitute its value and the point (6,0) into the point slope form. Then simplify.

$y-y_1 = m(x-x_1)\\y-0 = -2 (x-6)\\y=-2x+12$

7 0

3 years ago

Tell which two decimal is between 6/7, to the hundredth place

Contact [7]

The decimal between it are 6.7

7 0

3 years ago

Simplify and write the trigonometric expression in terms of sine and cosine:

kicyunya [14]

Answer:

f(x) = + cosx or - cosx

Step-by-step explanation:

(2+tan^2x/sec^2x) -1 =(f(x))^2

=(( 1 + sec^2x)/sec^2x) -1

= 1 / sec^2x + 1 - 1

= 1 / sec^2x

= cos^2x

(f(x))^2 = cos^2x

f(x) = + cosx or - cosx

6 0

3 years ago

Thirty work orders are selected from a filing cabinet containing 500 work order folders by choosing every 15th folder. which sam

Andru [333]

It is Systematic sampling

5 0

3 years ago