Evolution and Scientists.A professor claims that more than 78% of all scientists believe in non-theistic evolution. In a 2014 Pew Research survey of a representative sample of 116 scientists connected to the American Association for the Advancement of Science (AAAS), 90% of these scientists (104 scientists) say they believe in non-theistic evolution. Test 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 = 0.78
• H_a: p > 0.78
• H_o: p = 0.9
• H_a: p > 0.9
• H_o: p = 0.9
• H_a: p 0.9
• H_o: p = 0.78
• H_a: p < 0.78
• H_o: p = 0.78
• H_a: p 0.78

(b) Find the p-value (round to three significant figures).

(c) Write the final conclusion using everyday language.

• There is sufficient evidence to support the professor's claim.
• There is not sufficient evidence to reject the professor's claim.
• There is sufficient evidence to reject the professor's claim.
• There is not sufficient evidence to support the professor's claim.