n a survey from 1998, 449 teenagers were surveyed about the music that they listen to. Of these teenagers, 129 of them said that their favorite genre of music is hip-hop. In a similar survey from 2008, 176 of 509 teenagers surveyed said that their favorite genre is hip-hop. Use a two-proportion hypothesis test to determine whether the proportion of teenagers whose favorite genre of music is hip-hop has changed from 1998 to 2008. Assume that the samples are random and independent. Use α=0.01. Let the sample from 1998 correspond to sample 1 and the other to sample 2. (a) Which answer choice shows the correct null and alternative hypotheses for this test?

We accept H₀  

Step-by-step explanation:

To compare two proportion:

proportion 1. 1998

n₁  =  449

p₁  =  129/449    p₁  =  0,2873

proportion 2. 2008

n₂  =  509

p₂  =  176/509    p₂  = 0,3457

Test hypothesis

Null Hypothesis                             H₀                 p₂  -  p₁  = 0

Alternative Hypothesis                 Hₐ                 p₂  >  p₁

We have a one tail test ( to the right)

As   α = 0,01 we find in z-table the z score   z = 2,29  ( approximation for 0,011)

To calculate z(s),

z(s) =  ( p₂  -  p₁ ) /√ p*q ( 1/n₁ + 1/n₂)

p = ( x₁ + x₂ ) / n₁ + n₂

p = 129 + 176 / 449 +509

p = 0,3184     and    q =  1  - p       q = 0,6816

1/n₁  + 1/n₂  =  1/ 449  +  1 / 509   =  0,00222 + 0,001964

1/n₁  + 1/n₂  = 0,004184

z(s) =  0,0584/ √(0,3184*0,6816)*0,004184

z(s) =  0,0584/ 0,03013

z(s) = 1,938

z(s) < z(c)        1,938  < 2,29

z(s) is in the acceptance region we accept H₀  at  α = 0,01

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.