Answer to Question #265104 in Statistics and Probability for Carl

Question

For each question:

a) State the null and alternative hypothesis for a test to determine the validity of the claim

b) Identify left, right, or two-tailed test type 

1. The outside temperature in Maui averages between 72 and 83 degrees year-round.
2. 72% of elementary school teachers are female.

Answer 1

1).

a) $H_0: \mu\le72\cup \mu\ge83,\;H_a:72<\mu<83.$

b) Two-tailed.

2).

a) $H_0:\pi=0.72,\;H_a:\pi\ne0.72.$

b) Two-tailed.