<PRE><B>Question 1143410</B>
&lt;b&gt;Hypothesis Testing using P-value:&lt;/b&gt;


&lt;b&gt;Given&lt;/b&gt;

Claim = M&amp;Ms greater than 5%

P-value = 0.0010

alpha = 0.05


To make things easier, convert the percentage (P) of M&amp;Ms from 5% to decimal form 0.05.


Therefore, M&amp;Ms percentage shall be represented as follows: P &gt; 0.05. 


Next we state the hypotheses,


&lt;b&gt;Null Hypothesis&lt;/b&gt;
{{{H_0: P = 0.05}}} 


&lt;b&gt;Alternative hypothesis&lt;/b&gt;
{{{H_A: P &gt; 0.05}}}


&lt;b&gt;Conclusion&lt;/b&gt;
Since the P-value = 0.0010 is less than alpha of {{{alpha = 0.05}}}, we REJECT the null hypothesis, {{{H_0}}}, and conclude that the percentage of M&amp;Ms is greater than 5%. Thus, the result is statistically significant.


&lt;b&gt;Also, the conclusion can be stated another way:&lt;/b&gt;


Because alpha = 0.05 or 1 - 0.05 = 0.95


&lt;b&gt;Conclusion:&lt;/b&gt; &quot;We are 95% confident that the percentage of M&amp;Ms is greater than 5%&quot;.&lt;/p&gt;


</PRE>