An airline claims that the proportion of no-shows for passengers who booked on its flights is less than 0.06. in a random sample of 380 reservations, 19 were no-shows. a hypothesis test is to be performed to test the airline's claim that the proportion of no-shows on its flights is less than 0.06. calculate the test statistic associated with this sample. 1.124 -1.943 -0.821 0.222 -1.571

Step 1:

In a sample of 380 randomly selected reservations, 19 were no-shows.

Step 2:

Proportion of no shows p<0.06.

Step 3:

Test Value

z(19/380)=0.05

Step 4:

Test statistics

a) 0.05-1.124=-1.074

b) 0.05-(-1.943) = 0.05+1.943=1.993

c)0.05-(-0.821)=0.05+0.821=0.871

d)0.05 - 0.222 = - 0.172

e)0.05 -(-1.571) = 0.05+1.571 = 1.621

The above data clearly mentions the test statistics associated with the given samples.

 -0.821

Step-by-step explanation:

The test statistic for population proportion (p) is given by  :-

Given : An airline claims that the proportion of no-shows for passengers who booked on its flights is less than 0.06.

Sample size = 380

The proportion that there were no-shows =

The test statistic for population proportion (p) is given by  :-

Hence, the test statistic associated with this sample = -0.821

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.