Please write a python code and do not use chatgpt $.$ I already have the final answer but want to confirm. Thanks!

$Q1.$ One$-$Sample Test:

Consider a scenario where you are analyzing the average response time $of$ a website feature. The historical average response time $is$ known $tobe50$ milliseconds. You collect a sample $of30$ data points, and the sample mean $is53$ milliseconds with a standard deviation $of8$ milliseconds.

$a.$ Formulate the null hypothesis $(H0)$ and alternative hypothesis $(H1).$

$b.$ Perform a one$-$sample $t-$test $to$ determine $if$ there $is$ a significant difference $in$ the response time.

$c.$ State your conclusion and interpret the $p-$value.