Evolution and Scientists. A professor claims that more than 86% of all scientists believe in evolution. In a 2014 Pew Research survey of a representative sample of 141 scientists connected to the American Association for the Advancement of Science (AAAS), 127 of these scientists say they believe in evolution. Perform a hypothesis test of the professor's claim using these data. (a) Select the correct null and alternative hypotheses.

• H_o: p = 0.9 H_a: p > 0.9
• H_o: p = 0.86 H_a: p > 0.86
• H_o: p = 0.9 H_a: p 0.9
• H_o: p = 0.86 H_a: p 0.86
• H_o: p = 0.9 H_a: p < 0.9
• H_o: p = 0.86 H_a: p < 0.86

(b) Find the p-value (round to 4 decimals). (c) Decide whether or not to reject the null hypothesis when =0.05=0.05.

• Fail to reject null hypothesis
• Reject null hypothesis

(d) You should decide that ...

• there is not enough evidence at =0.05=0.05 that more than 86% of scientists believe in evolution.
• there is enough evidence at =0.05=0.05 that more than 86% of scientists believe in evolution.