In 2000, a study of HCC algebra students says that 65% of them pass on their first attempt. In 2004, a survey of 450 algebra students reported that 287 passed on their first attempt. Is there sufficient evidence to suggest that the number of students that passed in 2004 is different than in 2000

The calculated value Z = 0.549 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

There is no difference between the number of students that passed in 2004 and 2000

Step-by-step explanation:

Step(i):-

Given Population proportion 'P' = 65% or 0.65

Given survey of 450 algebra students reported that 287 passed on their first attempt.

Sample proportion

Null Hypothesis :H₀: The number of students that passed in 2004 is equal to   2000

Alternative Hypothesis :H₁: The number of students that passed in 2004 is different than in 2000

Step(ii):-

Test statistic

            |Z| = |-0.549| = 0.549

The critical value

z₀.₀₅ = 1.96

The calculated value Z = 0.549 < 1.96 at 0.05 level of significance

Final answer:-

Null hypothesis is accepted

There is no difference between the number of students that passed in 2004 and 2000

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation:

c. 6tan80

step-by-step explanation: