Answer:
<em>The calculated value Z=1.2413 < 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is accepted </em>
<em>An instructor in the English department at CBC believes rates at CBC may be equal to the state average</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given Population proportion </em>
<em> P=68%= 0.68</em>
<em>Sample proportion </em>
<em> </em><em></em>
<em>Null hypothesis : H₀ : p = 0.68</em>
<em>Alternative Hypothesis :H₁ : p > 0.68</em>
<u><em>Step(ii)</em></u><em>:-</em>
<em>Test statistic</em>
<em> </em><em></em>
<em> </em><em></em>
<em> Z = 1.2413</em>
<em>Level of significance </em>
<em> </em><em></em>
<em>The calculated value Z=1.2413 < 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is accepted </em>
<em>An instructor in the English department at CBC believes rates at CBC may be equal to the state average</em>
<em></em>
<em></em>