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.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

hi how are you doing today, if you need just ask me.

step-by-step explanation: