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Andrej [43]
2 years ago
13

In a​ poll, 1,004 adults in a certain country were asked whether they favor or oppose the use of​ "federal tax dollars to fund m

edical research using stem cells obtained from human​ embryos." Based on the poll​ results, it is estimated that 48​% of adults are in​ favor, with a margin of error of 4 percentage points. Use the given statistic and margin of error to identify the range of values​ (confidence interval) likely to contain the true value of the population parameter.
Mathematics
1 answer:
WARRIOR [948]2 years ago
7 0

Answer:

The range of values likely to contain the true value of the population parameter is between 44% and 52%.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

These bounds are dependent of the sample mean and of the margin of error.

The lower bound is the sample mean subtracted by the margin of error, while the upper bound is the margin of error added to the sample mean.

The confidence interval is likely to contain the true value of the population parameter.

In this question:

Sample mean: 48%

Margin of error: 4%

48 - 4 = 44%

48 + 4 = 52%

The range of values likely to contain the true value of the population parameter is between 44% and 52%.

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a rectangular garden has a length that is 16 meters and width of 12 meters .the owner of the garden is adding a walkway around t
Fittoniya [83]

Answer:

good question

Step-by-step explanation:

I have no idea ask yo parents

4 0
3 years ago
19. A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years
Juliette [100K]

Answer:

a) Approximately normal.

b) The mean is 75 years and the standard deviation is 0.8485 years.

c) 0.9909 = 99.09% probability that the mean age exceeds 73 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Sample of 50 retirees

This means that n = 50

Mean age and standard deviation are 75 and 6 years

This means that \mu = 75, \sigma = 6

a. Describe the shape of the sampling distribution of the sample mean in this case

By the Central Limit Theorem, approximately normal.

b. Find the mean and standard error of the sampling distribution of the sample mean.

By the Central Limit Theorem, the mean is 75 and the standard error is s = \frac{6}{\sqrt{50}} = 0.8485

c. What is the probability that the mean age exceeds 73 years?

This is 1 subtracted by the pvalue of Z when X = 73.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{73 - 75}{0.8485}

Z = -2.36

Z = -2.36 has a pvalue of 0.0091

1 - 0.0091 = 0.9909

0.9909 = 99.09% probability that the mean age exceeds 73 years

5 0
2 years ago
How is the graph of y=2x^2+3 different from the graph of y=x^2-9x+20 shown below?
Pepsi [2]

Answer:

○ The graph of y = -2x² + 3 opens downward and is shifted up.

Step-by-step explanation:

According to the Quadratic Equation, <em>y = Ax² + Bx + C</em>, <em>C</em><em> </em>acts<em> </em>like a y-intercept, and in this case, since both graphs shift up [because both are positive values], we do not pay attention to those. Now, we come over to our <em>A</em>, which makes a BIG difference because both graphs open in opposite directions [one negative, one positive]. With this being stated, we have our answer.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

** Extended information on Parabolas

Opens down → -A

Opens up → A

5 0
3 years ago
Mia’s work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below.
pochemuha
For this case the first thing you should know is that by definition the slope of the line is given by:
 m = (y2-y1) / (x2-x1)
 Where we have two ordered pairs:
 P1 = (x1, y1)
 P2 = (x2, y2)
 We observe then that according to the formula, the error of mine was to invert the numerator with the denominator.
 Answer: 
 C: Mia switched the numerator and the denominator.
5 0
3 years ago
Read 2 more answers
Refer to the picture, including the ratios. What is the theorem that allows you to state that triangle def ~ triangle ghj ?
Slav-nsk [51]

Answer:

It’s D

Step-by-step explanation:

Because you have two sides that are congruent and an angle giving you SAS

3 0
3 years ago
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