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Fantom [35]
3 years ago
15

A recent drug survey showed an increase in use of drugs and alcohol among local high school students as compared to the national

percent. Suppose that a survey of 100 local youths and 100 national youths is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 61 national seniors reported using them.
Required:
Conduct a hypothesis test at the 5% level.
Mathematics
1 answer:
GaryK [48]3 years ago
4 0

Answer:

We fail to reject H0

Step-by-step explanation:

Null hypothesis : H0 : Plocal ≤ Pnational

Alternative hypothesis : H1 : Plocal > Pnational

Plocal = P1 = 65/100 = 0.65

Pnational = P2 = 61/100 = 0.61

n1 = 100 ; n2 = 100

Mean, m = P1 - P2 = 0.65 - 0.61 = 0.04

The standard deviation : = sqrt(Variance)

Variance = P1(1 - P1) /n1 + P2(1 - P2) /n2

Variance = 0.65(0.35)/100 + 0.61(0.39)/100

Variance = 0.002275 + 0.002379 = 0.004654

Standard deviation (s) = √(0.004654) = 0.06822

Z = m/s = 0.04 / 0.06822 = 0.586

Using the p-value from Z score calculator :

Hence, Pvalue for a Zscore 0.586 at 5% = 0.278938

Since ;

P-value is > α ; 0.278938 > 0.05

Then we fail to reject H0

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P = 8

Step-by-step explanation:

Given that P varies inversely with x then the equation relating them is

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Mark and Julio are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and packages of croc
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Answer:

Bag of windflower bulbs costs $8.50

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Step-by-step explanation:

Let $x be the price of one bag of windflower bulbs and $y be the price of one  package of crocus bulbs.

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2. Julio sold 9 bags of windflower bulbs for $9x and 5 packages of crocus bulbs for $5y. In total he earned $(9x+5y) that is $164.50. So,

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3. You get the system of two equations:

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Answer:

Step-by-step explanation:

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