You are tasked to find the estimated cost for projects and find this equation $5000+350$x$,$ where

x is the number of days taken to complete the project to be the best fit. You find that the mean

and standard deviation of project completion time for this sample are, respectively, $36\mathrm{.}2$ days and

$12\mathrm{.}4$ days in a sample of $15$ past projects. Furthermore, $9$ of these projects used Python as the

main tool of the project.

At $5\%$ significance level, is there any evidence that the proportion of projects using Python as

the main tool is different from $0\mathrm{.}25?$ Justify your answer. What is the p$-$value of the sample?

At $5\%$ significance level, is there any evidence that the mean cost for the mid$-$size projects will

exceed $$15,000$ in the coming year? Justify your answer.