In a sample of 165 children selected randomly from one town, it is found that 30 of them suffer from asthma. At the 0.05 significance level, do the data provide sufficient evidence to conclude that the percentage of all children in the town who suffer from asthma is different from 11%? Use the P-value approach.
a) State the null and alternative hypotheses symbolically.
b) Which test procedure is appropriate to perform the required hypothesis test? Please check the assumptions.
c) Compute the value of the test statistic.
d) Determine the P-value.
e) Make a decision regarding the null hypothesis and interpret the results of the hypothesis test.
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