Simplify 12 - (-8) ×5 = ? A 16 B 44 C -20 D 80

A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a day waiting period to purchase

il63 [147K]

Answer:

The 90% confidence interval for the difference between proportions is (-0.260, -0.165).

Step-by-step explanation:

The question is incomplete. The complete question is:

"A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purchase a gun?” Results from a random sample of US citizens showed that 318 of the 520 men who were surveyed supported this proposed law while 379 of the 460 women sampled said ‘‘yes”. Use this information to find a 90% confidence interval for the difference in the two proportions, pm - pw. Subscript pm is the proportion of men who support the proposed law and pw is the proportion of women who support the proposed law. (Round answers to 3 decimal places.)"

We want to calculate the bounds of a 90% confidence interval.

For a 90% CI, the critical value for z is z=1.645.

The sample of men, of size nm=-0.26 has a proportion of pm=0.612.

$p_m=X_m/n_m=318/520=0.612$

The sample 2, of size nw= has a proportion of pw=0.824.

$p_w=X_w/n_w=379/460=0.824$

The difference between proportions is (pm-pw)=-0.212.

$p_d=p_m-p_w=0.612-0.824=-0.212$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_m+X_w}{n_m+n_w}=\dfrac{318+379}{520+460}=\dfrac{697}{980}=0.711$

The estimated standard error of the difference between means is computed using the formula:

$s_{pm-pw}=\sqrt{\dfrac{p(1-p)}{n_m}+\dfrac{p(1-p)}{n_w}}=\sqrt{\dfrac{0.711*0.289}{520}+\dfrac{0.711*0.289}{460}}\\\\\\s_{pm-pw}=\sqrt{0.00039+0.00045}=\sqrt{0.001}=0.029$

Then, the margin of error is:

$MOE=z \cdot s_{pm-pw}=1.645\cdot 0.029=0.0477$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.212-0.0477=-0.260\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.212+0.0477=-0.165$

The 90% confidence interval for the difference between proportions is (-0.260, -0.165).

6 0

3 years ago

An artist is using right triangles in her design. If all the

katovenus [111]

I think it’s C because a triangle is 180 degrees and it’s a right triangle which means there is a 90 degrees angle + 30 degrees.
90+30=120. 180-120=60
Which means the third angle is 60 degrees

3 0

3 years ago

Read 2 more answers

If x^(2) = 64 and y^(2)= 121 what is the value of x-y?

GalinKa [24]

Step-by-step explanation:

the value of x is 8

8^(2) = 64

the value of y is 11

11^(2) = 121

x - y

= 8 - 11

= -3

<h3>#CMIIW</h3>

3 0

2 years ago

-10ab+2ab^2-9ab+7 what is the simplest form

vesna_86 [32]

Answer:

-19ab + 2ab^2 +7

Step-by-step explanation:

all you do is combine the like terms. and the omly like terms are -10ab and -9ab. 2ab^2 is not one of the like terms simply because of that ^2.

3 0

3 years ago

The table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic which st

sesenic [268]

Answer

The independent variable is the number of people. The initial value (initial fee) for the picnic is $40. As the number of people increases, the total cost of the picnic increases.

8 0

3 years ago

Simplify 12 - (-8) ×5 = ?A 16B 44C -20D 80