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ASHA 777 [7]
3 years ago
12

Random samples of 100 parts from production line A had 12 parts that were defective and 100 parts from production line B had 5 t

hat were defective. What is the test statistic for the hypothesis test of a difference between the two proportions?
a. z = 2.16
b. z = 0.7
c. z = 1.77
d. z = 2.16
Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0

Answer:

Option C) z = 1.77

Step-by-step explanation:

We are given the following information in the question:

For line A:

\text{Sample size}, n_1 = 100\\

Number of defective part, x = 12

p_1 = \displaystyle\frac{x}{n_1} = \frac{12}{100} = 0.12

For line B:

\text{Sample size}, n_2 = 100\\

Number of defective part, y = 5

p_2 = \displaystyle\frac{y}{n_2} = \frac{5}{100} = 0.05

Test statistic =

\displaystyle\frac{p_1-p_2}{\sqrt{p(1-p)(\frac{1}{n_1}+\frac{1}{n_2})}}\\\\\text{where }p = \frac{x+y}{n_1+n_2} = \frac{12+5}{100+100} = \frac{17}{200} = 0.085

Putting the values, we get:

\text{Test statistic } = \displaystyle\frac{0.12-0.05}{\sqrt{0.085(1-0.085)(\frac{1}{100}+\frac{1}{100})}} = 1.77

Option C) z = 1.77

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Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withd
zysi [14]

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

              b) How much money was in the account after 4 years?

              c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

a)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(1)]

             = 500 [ 1 + 0.04] = 520

⇒Amount = $520

b)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(4)]

             = 500 [ 1 + 0.16] = 580

⇒Amount = $580

c)

In 2nd year,

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(2)]

             = 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount  is same each year

3 0
3 years ago
5. Ana's age is twice the age of Lorna. If the sum of their ages is no more than 72, find the age of
ExtremeBDS [4]

Answer:

Ana:48

Lorna:24

Together they are a total of 72 yrs old

4 0
3 years ago
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Tom [10]

Answer: the average speed is 7.5 mph or at least im pretty sure

Step-by-step explanation:

This is because if you make the 2 miles at 6 mph to 1 mile at 3 mph then you get 1 mile at 3mph and 1 mile at 12 mph. now that you have the unit rates of these you can add them. 1 + 1 = 2 miles and 3 + 12 = 15 mph now divide this by two and you get 7.5 mph per mile.

I hope this helped, if it did could you give me a good rating? lol

8 0
3 years ago
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slamgirl [31]

Answer:

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Step-by-step explanation:

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8 0
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amm1812
<span>Let x = 0.5333333333 ...

So 100x = 53.3333333333 ...
and 10x = 5.3333333333 ...
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So x = 48/90 = 8/15 after reduction to lowest terms (by factor of 6)
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6 0
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