Price deregulation in the airline industry has promoted competition and a variety of fare structures. Prior to deciding on a price change, a particular airline is interested in obtaining an estimate of the proportion of the market that it presently captures for a certain region. A random sample of 300 passengers indicatesthat 80 used that airline.

a. Find a point estimate ofthe proportion ofthe market that usesthis particular airline.
b. Find a 95% confidence interval for the proportion that uses this airline. (c) Can the airline conclude that its market share is more than 25%

a) 0.2667

b) (0.2167,0.3167)

c) We cannot conclude that its market share is more than 25%.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 300

Number of passengers who used airlines, x = 80

a) point estimate of the proportion of the market that uses this particular airline.

b) 95% confidence interval

Putting the values, we get:

c) First, we design the null and the alternate hypothesis  

Formula:

Putting the values, we get,

Now, we calculate the p-value from the table.

P-value = 0.252

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.

Thus, we cannot conclude that its market share is more than 25%.

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4