URGENTLY, hello tutor, please help me with this question. PLEASE USE EXCEL FORMULA to for this question. (T DISTRIBUTION)

Brown college recently released a flyer in an attempt to recruit accounting students for their business school. In the flyer, Brown college claims that the mean first year graduate salary of their accounting students is $50,000, whereas their biggest competition for accounting students, Victoria College, have a first year graduate salary of only $45,000.

After reading Brown's recruiting flyer, Victoria College executives believe that Brown falsely stated the graduate salaries and as a result have conducted their own study. Based on the sample below, at 1% level of significance is there evidence that Brown's first year accounting graduates salaries are not as claimed?

Which of the following options are the appropriate hypotheses for this question:

A) H₀: = $50,000 H₁: > $50,000

B) H₀: = $50,000 H₁: < $50,000

C) H₀: = $50,000 H₁: $50,000

D) H₀: p = $50,000 H₁: p > $50,000

E) H₀: p = $50,000 H₁: p < $50,000

F) H₀: p = $50,000 H₁: p $50,000

What is the p-value of this sample? ***ANSWER TO 4 DECIMALS and USE EXCEL FORMULA

Based on this sample, at 1% level of significance is there evidence that Brown's first year accounting graduates salaries not as claimed? ***ANSWER "YES" OR "NO" and explain why

Brown College First Year Accounting Graduate Salaries
$38,750	$50,000	$50,000	$45,250	$45,250	$50,500	$36,500	$41,000	$41,750	$55,750
$59,500	$46,000	$37,500	$50,000	$49,250	$59,750	$37,500	$43,500	$44,250	$59,250
$58,250	$39,250	$60,750	$42,750	$43,000	$49,500	$37,500	$41,250	$61,000	$38,250
$38,000	$44,500	$42,500	$58,500	$45,000	$37,000	$56,500	$59,750	$48,000	$47,500
$46,250	$62,750	$56,000	$38,750	$45,250	$46,750	$57,250	$55,000	$50,250	$61,000
$40,000	$43,750	$50,250	$40,000	$37,750	$44,000	$45,500	$53,000	$56,000	$60,750
$37,000	$58,250	$35,750	$44,750	$53,250	$50,250	$45,000	$45,250	$40,750	$52,000
$60,250	$47,250	$43,750	$47,750	$58,750	$38,750	$62,750	$52,000	$57,750	$48,750
$36,750	$53,500	$50,500	$53,000	$40,750	$47,000	$57,000	$46,250	$57,250	$38,500
$48,500	$41,000	$55,750	$36,250	$62,500	$50,500	$46,750	$38,000	$61,000	$40,000
$62,500	$42,750	$43,750	$62,000	$45,000	$51,750	$50,750	$35,750	$40,750	$51,500
$53,250	$49,250	$51,750	$48,500	$38,250	$46,750	$40,250	$52,250	$54,500	$51,500
$51,000	$41,000	$49,250	$39,750	$54,500	$41,000	$49,750	$50,250	$49,250	$49,000
$62,000	$43,500	$53,000	$44,500	$48,250	$62,000	$37,750	$38,750	$61,000	$60,750
$48,500	$49,500	$62,500	$44,500	$58,500	$53,500	$52,000	$37,750	$50,750	$60,250
$37,250	$40,250	$58,500	$43,750	$49,500	$46,750	$62,750	$62,750	$51,750	$42,250
$45,750	$56,750	$48,250	$54,000	$53,750	$58,000	$36,000	$50,250	$46,250	$40,250
$37,500	$46,250	$62,750	$56,000	$39,500	$39,750	$48,750	$62,250	$38,000	$36,500
$38,750	$49,750	$42,500	$52,750	$56,000	$61,500	$49,000	$47,750	$39,250	$58,250
$52,000	$37,000	$36,750	$41,750	$53,500	$37,500	$59,750	$57,500	$39,000	$37,250
$62,750	$39,750	$61,750	$45,500	$39,000	$61,000	$40,750	$40,000	$62,250	$48,250
$43,250	$36,250	$58,250	$62,000	$58,250	$55,000	$63,000	$50,000	$52,750	$53,500