Legalization of marijuana, Part 1. The 2010 General Social Survey asked 1,259 US res- idents: "Do you think the use of marijuana should be made legal, or not?" 48% of the respondents said it should be made legal. (a) Is 48% a sample statistic or a population parameter? Explain. (b) Construct a 95% confidence interval for the proportion of US residents who think marijuana should be made legal, and interpret it in the context of the data. (c) A critic points out that this 95% confidence interval is only accurate if the statistic follows a normal distribution, or if the normal model is a good approximation. Is this true for these data? Explain. (a) A news piece on this survey's findings states, "Majority of Americans think marijuana should be legalized. Based on your confidence interval, is this news piece's statement justified?

Answers

Answer 1

Answer:

Answer:

see below

Step-by-step explanation:

(a) 48% is a sample statistic because it's based on the responses of 1,259 US residents. It's used to estimate a population parameter.

(b) We can calculate a 95% confidence interval for the proportion of US residents who support marijuana legalization. This interval provides a range, and we can be 95% confident that the true proportion falls within this range.

(c) The confidence interval calculation assumes the data follows a normal distribution. To use this method, we need a sufficiently large sample size, which is met in this case.

(d) To justify the news piece's statement that a majority of Americans support marijuana legalization, we need to check if the confidence interval includes values above 50%. If it does, then it supports the statement.

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Is .05 greater than 1/20

Answers

No, they are both the same.

Which expression can be used to determine the reference angle for an angle, x, measuing 150 degrees

Answers

Answer:

see explanation

Step-by-step explanation:

150° is in the second quadrant.

To find the reference angle in the first quadrant subtract from 180°

reference angle = 180° - 150° = 30°

Answer:

-180-x

Step-by-step explanation:

the sum of present ages of ria and abby is 48 years. today abby is 4 years older than shweta. the respective ratio of the present ages of ria and shweta is 4: 7. what was abby's age two years ago?

Answers

Answer:

30 years then.

Step-by-step explanation:

Let the present age of Ria be x and Abby be y, and of Sweta be z.

Then, according to the question,

x + y = 48 ..1

Today, Abby is 4 yrs older than Sweta,i.e.,

y = 4+z.(2)

Also, ratio of present ages of Ria:Sweta

x:z = 4:7
x/z = 4/7
4z = 7x..(3)

Putting the value of y from eqn (2) to eqn 1,

x + 4 + z = 48
x + z = 44( eqn : 4)

From eqn (3),

4z = 7x
x = 4z/7(eqn:5)

Putting the value of x in eqn (4),

4z/7 + z = 44
11z/7 = 44
z = 4*7 = 28

From eqn 5, putting the value of z in it,

x = 4*28/7
x = 4*4 = 16

Putting the value of x in eqn 1,

x+y = 48
y = 48 -16 =32

We have to find the age of Abby two years ago, i.e. 32-2 = 30 years old then back.

Write the following Arithmetic Sequence using a Recursive Formula: an = -5 + 2(n – 1)

Answers

Given:

$a_n=-5+2(n-1)$

To find:

The arithmetic sequence using a Recursive Formula.

Solution:

We have,

$a_n=-5+2(n-1)$ ...(i)

The explicit formula of an AP is

$a_n=a_1+(n-1)d$ ...(ii)

where, a₁ is first term and d is common difference.

From (i) and (ii), we get

$a_1=-5,d=2$

Now, the recursive formula of an AP is

$a_n=a_(n-1)+d$

Putting d=2, we get

$a_n=a_(n-1)+2$

Therefore, the arithmetic sequence using a Recursive Formula is defined as $a_n=a_(n-1)+2$ , where n>2 and $a_1=-5$ .

Final answer:

The arithmetic sequence given by the recursive formula is an = -5 + 2(n - 1). Each term in the sequence can be found by substituting the corresponding value of n into the formula.

Explanation:

An arithmetic sequence is a sequence of numbers in which the difference between two consecutive terms is constant. In this case, the recursive formula for the arithmetic sequence is given as an = -5 + 2(n - 1).

To find any term in the sequence, substitute the value of n into the formula. For example, to find the first term (a1), plug-in n = 1. The formula becomes a1 = -5 + 2(1 - 1) which simplifies to a1 = -5.

Similarly, to find the second term (a2), plug-in n = 2. The formula becomes a2 = -5 + 2(2 - 1) which simplifies to a2 = -3. Continuing this pattern, each term in the sequence can be found by substituting the corresponding value of n into the formula.

Learn more about Arithmetic Sequence here:

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3. Check whether 3/2 p(x) = 6x ^ 2 - 5x - 6 and - 2/3 are the zeroes of polynomial