9. Using the setting from problem 8. The researcher decides to test the hypotheses H,: H, - H, = 0 vs. H,: H, - H,

I have the answer is D, but I'm looking for an explanation.

Extracted text: 9. Using the setting from problem 8. The researcher decides to test the hypotheses H,: H, - H, = 0 vs. H,: H, - H, <0 at="" the="" a="0.05" level="" and="" produces="" a="" p-value="" of="" 0.0475.="" which="" of="" the="" following="" is="" a="" correct="" interpretation="" of="" this="" result?="" (a)="" the="" probability="" that="" there="" is="" a="" difference="" is="" 0.0475.="" (b)="" the="" probability="" that="" this="" test="" resulted="" in="" a="" type="" il="" error="" is="" 0.0475.="" (c)="" if="" this="" test="" were="" repeated="" many="" times,="" we="" would="" make="" a="" type="" i="" error="" 4.75%="" of="" the="" time.="" (d)="" if="" the="" null="" hypothesis="" is="" true,="" the="" probability="" of="" getting="" a="" difference="" in="" sample="" means="" as="" far="" or="" farther="" from="" 0="" as="" the="" difference="" in="" our="" samples="" is="" 0.0475.="" (e)="" if="" the="" null="" hypothesis="" is="" false,="" the="" probability="" of="" getting="" a="" difference="" in="" sample="" means="" as="" far="" or="" farther="" from="" 0="" as="" the="" difference="" in="" our="" samples="" is="">