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Hunter-Best [27]

3 years ago

5

3. Write the equation of a line in slope-intercept form that passes through (9, 4) and is

1 answer:

konstantin123 [22]3 years ago

8 0

⭐️- Remember that slope formula is y=mx+b

1. Know that the m is (-3)
2. 4=(-3)(9)+b
3. 4=(-27)+b
4. b=31
5. y=(-3x)+31
6. y=3x-31*

*whenever it is finding a perpendicular, you switch the signs; when it is finding a parallel, you leave it alone

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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:

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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:

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

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