Maggy Mwangi
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425 school children were surveyed about what they want to be when they grow up, out of a choice of five professions. The results were: Teacher 80, Doctor 105, Lawyer 70, Police Officer 70, Firefighter 100. Obviously these particular children preferred some occupations over others. You want to test whether their preferences reflect a real difference in the population.
a) Indicate the test you should do and write your hypotheses
b) What counts would you expect for each profession if the null hypothesis were true? You can show this in a table.
c) Run the test and report your test statistic and p-value.
d) Sketch the distribution and shade the area corresponding to the p-value. Label the test statistic
e) State your conclusion using appropriate notation and vocabulary.