1) A principal claims that her school practices inclusivity in terms of religion and estimates that the student population comprises 40% Catholics, 30% Protestants, 20% Muslims, 10% no religion. You wanted to test if her estimation is accurate. You gathered the data among the 843 students and this is what you found:

• Catholics 334
• Protestants 269
• Muslims 203
• No Religion 37

Perform the appropriate chi-square test to check the principal's claims and discuss the results.

Provide: Null and alternative hypotheses

Decision rule and critical chi-square value

2) Do you have to be good-looking to succeed in show business? Does it depend on the genre that you are in? An investigator decided to find out. This is what he found among his survey of 86 successful male actors.

Handsome Average-looking Drama 30 13 Comedy 17 26