In 1980 and again in 2010, a Gallup poll asked a random sample of 1000 US citizens people "Are you in favor of the death penalty for a person convicted of murder?". In 1980, the proportion saying yes was 0.66. In 2010, it was 0.64. Does this data provide evidence that the proportion of US citizens favoring the death penalty was higher in 1980 than it was in 2010? State the null and alternative hypotheses: What is the sample statistic?

H0: p(1980) = p(2010) ; H1 : P(1980) > P(2010)

0.02

Step-by-step explanation:

Given that:

Sample size in both 1980 and 2010 = 1000 samples :

Proportion in favor :

P(1980) = 0.66

P(2010) = 0.64

To test the hypothesis :

Null hypothesis :

Proportion in favor are the same in both years

Null hypothesis = H0 = p(1980) = p(2010)

Alternative hypothesis :

Proportion in favor in 1980 is greater than that in 2010

Alternative hypothesis = H1 : P(1980) > P(2010)

The sample statistic :

P(1980) - p(2010)

0.66 - 0.64

= 0.02

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.