Suppose we are constructing a confidence interval using repeated tests of significance to develop an interval of plausible values. Using two-sided tests each time with the following null hypotheses, we obtain the resulting p-values.

Null p-value Null p-value
Proportion = 0.45 0.007 Proportion = 0.53 0.602
Proportion = 0.46 0.012 Proportion = 0.54 0.124
Proportion = 0.47 0.045 Proportion = 0.55 0.084
Proportion = 0.48 0.079 Proportion = 0.56 0.052
Proportion = 0.49 0.121 Proportion = 0.57 0.034
Proportion = 0.50 0.254 Proportion = 0.58 0.019
Proportion = 0.51 0.643 Proportion = 0.59 0.012
Proportion = 0.52 0.986 Proportion = 0.60 0.004

Using the results from the table, give a 95% AND 99% Confidence interval.

F(x)= 1/x-4, g(x)=4x+1/x a. use composition to prove whether or not the functions are inverses of each other. b. express the domain of the compositions using interval notation.

Jabari is power washing houses for a summer job. for every job, he charges an initial fee plus $30 for each hour of work. his total fee for a 4 -hour job, for instance, is $170 . jabari's total fee,f, for a single job is a function of the number,t, of hours it takes him to complete the job. write the function's formula.

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?