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docker41 [41]
3 years ago
10

What is the answer to this question?

Mathematics
1 answer:
faltersainse [42]3 years ago
8 0

Answer:

a.

Step-by-step explanation:

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A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
Burka [1]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of  \pm 5\% with 99 %confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Answer:

The value is  n = 666

Step-by-step explanation:

From the question we are told that

   The  margin of error is  E =  0.05

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } = 2.58

Here we will assume that the sample proportion of those who support a proposed gun control law to be  \^ p =  0.5 because  from the question they do not have any prior knowledge about the proportion who might support the law

Generally the sample size is mathematically represented as

      n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = 666

 

8 0
3 years ago
If b -4=-22 what is the value of b
aliya0001 [1]

Answer:

I think -18

Step-by-step explanation:

5 0
3 years ago
Represent the given condition using a single​ variable, x. Three consecutive odd integers.
Iteru [2.4K]
X
X+2
X+4

Those are 3 consecutive odd integers
8 0
4 years ago
Help me please. Show a lil work please.......
Masteriza [31]

Answer:

J) -4.5

Step-by-step explanation:

-12x=54

x=54÷(-12)

x=-4.5

3 0
3 years ago
Read 2 more answers
Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on
Iteru [2.4K]

Answer:

P(X_i=2) =\dfrac{1}{6}

P(X_i=-1) =\dfrac{5}{6}

Step-by-step explanation:

Given the numbers on the chips = 1, 1, 3 and 5

Miguel chooses two chips.

Condition of winning: Both the chips are same i.e. 1 and 1 are chosen.

Miguel gets $2 on winning and loses $1 on getting different numbers.

To find:

Probability of winning $2 and losing $1 respectively.

Solution:

Here, we are given 4 numbers 1, 1, 3 and 5 out of which 2 numbers are to be chosen.

This is a simple selection problem.

The total number of ways of selecting r numbers from n is given as:

_nC_r = \frac{n!}{r!(n-r)!}

Here, n = 4 and r = 2.

So, total number of ways = _4C_2  = \frac{4!}{2!\times 2!} = 6

Total number of favorable cases in winning = choosing two 1's from two 1's i.e. _2C_2 = \frac{2!}{2! 0! } = 1

Now, let us have a look at the formula of probability of an event E:

P(E) = \dfrac{\text{Number of favorable ways}}{\text{Total number of ways}}

So, the probability of winning.

P(X_i=2) =\dfrac{1}{6}

Total number of favorable cases for -1: (6-1) = 5

So, probability of getting -1:

P(X_i=-1) =\dfrac{5}{6}

Please refer to the attached image for answer table.

7 0
3 years ago
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