A researcher believes that female stray cats are more cautious when approaching people than male cats. He knows that the stray cat population is 50% male and 50% female. In order to test this, visits 20 different areas where stray cats live and records the gender of the first cat to approach him. He finds that 14 of the 20 cats that approach him are male. Using a sign test:
a) What is the null hypothesis?
b) What is the alternative hypothesis?
c) What is the obtained value?
d) What is the critical value?
e) What should he conclude?
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