Academic advising: in 2014, the community college survey of student engagement reported that 32% of the students surveyed rarely or never use academic advising services. since then, a local california community college that participated in the survey hired several new academic counselors and focused on outreach efforts to increase student awareness of available services. the counseling office staff then conducted a survey of 500 randomly selected students at the college, and 26% of those students said that they rarely or never use academic advising services. campus administrators want to know whether the hiring and outreach efforts increased student use of academic advising. which alternative hypothesis is appropriate?

a. the percentage of students at the college who say that they rarely or never use academic advising services is not the same as the percentage reported by the 32%

b. the percentage of students at the college who say that they rarely or never use academic advising services is greater than the percentage reported by the 32%

c. the percentage of students at the college who say that they rarely or never use academic advising services is less than the percentage reported by the 32%

d. the percentage of students at the college who say that they rarely or never use academic advising services is 26%

Option C. The percentage of students at the college who say that they rarely or never use academic advising services is less than the percentage reported by the 32%

Step-by-step explanation:

We are given the following information in the question:

The Community College Survey of Student Engagement reported that 32% of the students surveyed rarely or never use academic advising services.

We want to increase student's awareness of available services.

A survey of randomly 500 selected students was conducted and the results said 26% of those students said that they rarely or never use academic advising services.

Campus administrators want to know whether the hiring and outreach efforts increased student use of academic advising.

The null hypothesis will state that the sample was taken from the population only that mean 32% of the student does not know about the available services.

Where as the alternate hypothesis states that the sample does not belong to the population and the students know about the available services.

The aim is to increase student awareness of available services.Thus, the aim of the hypothesis is to know whether there is a decrease in the percentage of students never use academic advising services or do not know about the available services.

Thus, the correct alternate hypothesis given by:

Option C. The percentage of students at the college who say that they rarely or never use academic advising services is less than the percentage reported by the 32%

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)