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mart [117]
2 years ago
9

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

n the town and found that 34 % of
the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than

30%. State the null and alternative hypotheses.
Mathematics
1 answer:
Hunter-Best [27]2 years ago
7 0

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  

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3 years ago
Sari wrote the equivalent ratios below to convert cups to fluid ounces.
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The answer will be B. 72
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3 years ago
Read 2 more answers
HELPP
algol13
I am assuming the both cylinders have the same measure of radius. They only differ in height.

Larger Cylinder = 343 ft³
Smaller Cylinder = 125 ft³ ; height = 5 ft.

We can use proportion for this problem; a:b = c:d where ad = bc

5 ft :125 ft³ = x : 343ft³
5 ft * 343 ft³ = 125 ft³ * x
1715 ft⁴ = 125 ft³ * x
1715 ft⁴ ÷ 125 ft³ = x
13.72 ft = x  height of the larger cylinder.

Cone S = 768pi cm³
Cone T = 6144pi cm³ ; height = 24 cm

24 cm : 6144 cm³ = x : 768 cm³
24 cm * 768 cm³ = 6144 cm³ * x
18,432 cm⁴ = 6144 cm³ * x 
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6 0
3 years ago
?/100 + 3/? = 2/? + ?/10 = 5/10
KatRina [158]
So we're looking for the top half of a fraction. They all appear to equal to 5/10, which is 1/2. Whatever is 1/2 of the denominator (or twice the numerator) is our answer.
?/100; 1/2 of 100 is 50, that answer is 50/100.
3/?; 3 is 1/2 of the denominator, multiply by 2.
3/6.
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7 0
2 years ago
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mary robertson sells tires at a large car service center. She earns 10% commission on the first $1000.15 percent on the next $20
Illusion [34]

Answer:

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Step-by-step explanation:

First, jot down the important facts:

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• next $2000 = 15% comm.

• total more than $3000 = 20% comm.

• total comm. = $3400

Then, go in order with your jotted facts to withdraw the total commission amount. Here's what I mean:

 $3400   ← total is more than $3000 = +20% comm.

<u>- $1000</u>   ← the first $1000 = +10% comm.

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<u>- $2000</u>   ← the next $2000 = +15% comm.

   $400

Then, add together the commission percentages:

20% + 10% + 15% = 45% comm.

Convert the percentage to a decimal:

45% × 100 = 0.45

And multiply it with the total amount to find the commission amount:

$3400 × 0.45 = $1530

8 0
2 years ago
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