Which system of equations is equivalent to the system of equations shown?

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

3 years ago

Which angles are obtuse? Please help ASAP. Thank you. (Should be fairly easy to answer btw).

777dan777 [17]

The answer is c, hope it helps

6 0

3 years ago

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Four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and tre

alexdok [17]

Answer:

So, exists 5527200 different leadership structures.

Step-by-step explanation:

We know that four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and treasurer. The first perosn to be selected is the chairperson, the second to be selected as vice chairperson, the third is secretary, and the fourth is treasurer.

Since the order of the people is important to us, we have the following:

50·49·48·47=5527200

So, exists 5527200 different leadership structures.

3 0

3 years ago

The line graphed by the equation, y=5/6x +1/2, has a slope of 1/2 and a y-intercept of 5/6 true or false?

vazorg [7]

False. It has a slope of 5/6 and y intercept of 1/2.

8 0

3 years ago

PLEASE NEED CORRECT ANSWERS NOW1 WILL MARK BRAINLIEST!!!!!!!!!!!

Natasha_Volkova [10]

Answer:

7.7ft

Step-by-step explanation:

7 0

3 years ago

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