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<em>The test statistic value Z = 4.64 > 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is rejected </em>
<em>Alternative hypothesis is accepted</em>
<em>Test the claim that the proportion of all children in the town who suffer not from asthma is 11%</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given sample size 'n' = 167
Given data In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma.
<em>Sample proportion </em>
<em>Given Population proportion 'P'</em> = 11% = 0.11
<u><em>Step(ii) </em></u>:-
<em>Null Hypothesis : H₀ : p = 11</em>
<em>Alternative Hypothesis H₁: p≠11</em>
<u><em>Test statistic</em></u>
Z = 4.64
<u><em>step(iii)</em></u>
<em> Critical value Z = 1.96 </em>
<em>The calculated value Z = 4.64 > 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is rejected </em>
<em>Alternative hypothesis is accepted</em>
<u><em>Conclusion:-</em></u>
<em>Test the claim that the proportion of all children in the town who suffer not from asthma is 11%</em>