In a representative sample of 1000 adult americans, only 460 could name at least one justice who is currently serving on the u. s. supreme court. using a significance level of 0.01, carry out a hypothesis test to determine if there is convincing evidence to support the claim that fewer than half of adult americans can name at least one justice currently serving on the supreme court. (for z give the answer to two decimal places. for p give the answer to three decimal places.)z=p=

P=2.326

Step-by-step explanation:

Raw Score (X):=1000

Population Mean (μ):=460

Standard Deviation (σ):=Sqrt(npq)

Where n=1000, p=460/1000=0.46 and q=1-0.46=0.54

Sqrt(npq)=sqrt(460X0.54)=15.7607

Z = (X - μ) / σ

Z = (1000 - 460) / 15.7607

Z = 34.26244

For p-value 0.01

P(x=0.01) = 2.32635

Hence, P=2.326 t 3 decimal places.

answer:     true

step-by-step explanation:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: