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shutvik [7]
3 years ago
9

What is the square root of 244?

Mathematics
1 answer:
adell [148]3 years ago
8 0
The square root of 224 is: 14.9666295471
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In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S
lys-0071 [83]

Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

8 0
2 years ago
Sally is making bouquets of flowers with the ratio of red to white flowers being 2:3. If Sally used 12 red flowers, how many whi
alexandr402 [8]

Answer:

18 white flowers

Step-by-step explanation:

We are given ratio:

Red : White

2 : 3

If Sally used 12 red flowers, how many white flowers will she use?

Let the number of white flowers Sally uses be represented by x

This is calculated as:

2/3 = 12/x

Cross Multiply

2 × x = 3 × 12

x = 3 × 12/2

x = 18 white flowers

Therefore, if Sally used 12 red flowers, the number of white flowers will she use is 18 white flowers.

8 0
3 years ago
A researcher is 95% confident that the interval from 5.2 hours to 7.8 hours captures u = the true mean amount of time
igor_vitrenko [27]
<h3>Answer: Choice B</h3>

No, this is not a plausible value for the population mean, because 5 is not within the 95% confidence interval.

====================================================

Explanation:

The greek letter mu is the population mean. It has the symbol \mu which looks like the letter 'u' but with a tail at the front or left side.

The question is asking if mu = 5 is plausible if the researcher found the 95% confidence interval to be 5.2 < mu < 7.8

We see that 5 is <u>not</u> in that interval. It's a bit to the left of 5.2

Since mu = 5 is not in the interval, it's not a plausible value for the population mean.

Have we ruled it out with 100% confidence? No. Such a thing is not possible. There's always room for (slight) error. The researcher would need to do a census to be fully confident; however, such practices are very time consuming and expensive. This is the main reason why statistics is important to try to estimate the population with a sample.

8 0
2 years ago
Which polygon has an interior angle sum of 1080
Crank
Octagon has 8 sides so the sum of the angles of the octagon is 180(8-2)=180 (6)=1080 degrees
5 0
3 years ago
Read 2 more answers
How to solve burger barn has 46 2/3 pounds of ground beef. how many 1/3 pound burgers can be made using all the ground beef?
8_murik_8 [283]
(46 2/3) / (1/3) =
(140/3) / (1/3) = 
140/3 * 3/1 =
420/3 =
140 <=== 140 can be made
4 0
3 years ago
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