Publishing scientific papers online is fast, and the papers can be long. publishing in a paper journal means that the paper will live forever in libraries. the british medical journal combines the two; it prints short and reasonable versions, with longer versions available online. is this ok with authors?
the journal asked about a random sample of 104 of its recent authors' several questions. one question was, "should the journal continue using this system? "
in the sample, 72 said "yes."
(a) do the data give good evidence that more than two-thirds (67%) of authors support continuing this system? carry out an appropriate test to answer this question.
(b) interpret the p-values from your test in the context of the problem.

There is no significant evidence that more than two-thirds (67%) of authors support continuing this system.

Step-by-step explanation:

Let p be the proportion of authors who support continuing the system

Then hypotheses are:

: p=0.67

: p>0.67

To calculate the test statistic:

z= where

Then z= ≈ 0.477

p-value of test statistic is ≈0.317

Assuming a significance level 0.05, since 0.317>0.05 we fail to reject the null hypothesis.

p-value 0.317 is the probability that the sample is drawn from the distribution assumed under null hypothesis, that is where the proportion of authors supporting the new publishing system is at most 0.67

answer: the answer to your question is parallel

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.