Section 8.2 Learning Check|&lt;b&gt;For the questions 1-4, please refer to the following explanation.&lt;br&gt; A simple random sample of size 100 of the Northwest Airlines showed that 64 were on time. A simple random sample of 100 flights of American Airlines showed that 80 were on time. Let p&lt;sub&gt;1&lt;/sub&gt; and p&lt;sub&gt;2&lt;/sub&gt; be the proportion of all flights that are on time for these two airlines.&lt;/b&gt;|Please enter your Full Name:|Your Email Address:|Your ID Number or Password:|A 95% confidence interval for the difference p<sub>1</sub>-p<sub>2</sub> is # -0.16&lt;img src=&quot;pm.jpg&quot;&gt;0.062 %% -0.16&lt;img src=&quot;pm.jpg&quot;&gt;0.122 %% -0.16&lt;img src=&quot;pm.jpg&quot;&gt;0.103 %% 0.16&lt;img src=&quot;pm.jpg&quot;&gt;0.062 %%|A researcher wants to test the claim that American has a higher on-time rate than Northwest. What is the appropriate alternative hypotheses # p&lt;sub&gt;1&lt;/sub&gt;-p&lt;sub&gt;2&lt;/sub&gt;=0 %% p&lt;sub&gt;1&lt;/sub&gt;-p&lt;sub&gt;2&lt;/sub&gt;&gt;0 %% p&lt;sub&gt;1&lt;/sub&gt;-p&lt;sub&gt;2&lt;/sub&gt;&lt;0 %% p&lt;sub&gt;1&lt;/sub&gt;-p&lt;sub&gt;2&lt;/sub&gt; is different than 0 %%|Is there a difference between on-time rate for the two airlines? To determine this, you test the hypotheses <br><img src="diffprophyp.jpg">.<br>The test statistics is # &lt;br&gt;&lt;img src=&quot;twoproptesta.jpg&quot;&gt; %% &lt;br&gt;&lt;img src=&quot;twoproptestb.jpg&quot;&gt; %% &lt;br&gt;&lt;img src=&quot;twoproptestc.jpg&quot;&gt; %% &lt;br&gt;&lt;img src=&quot;twoproptestd.jpg&quot;&gt; %%|Is there a difference between on-time rate for the two airlines? To determine this, you test the hypotheses <br><img src="diffprophyp.jpg">.<br>The P-value of your test of the hypotheses is # between .10 and .05 %% between .05 and .01 %% between .01 and .001 %% below .001 %%