Evolution and Scientists. A professor claims that more than 83% of all scientists believe in evolution. In a 2014 Pew Research survey of a representative sample of 162 scientists connected to the American Association for the Advancement of Science (AAAS), 146 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.Ho: p = 0.83Ha: p ≠ 0.83Ho: p = 0.9Ha: p ≠ 0.9Ho: p = 0.83Ha: p > 0.83Ho: p = 0.9Ha: p > 0.9Ho: p = 0.83Ha: p < 0.83Ho: p = 0.9Ha: p < 0.9(b) Find the p-value (round to 4 decimals). (c) Decide whether or not to reject the null hypothesis when α=0.05α=0.05.Fail to reject null hypothesisReject null hypothesis(d) You should decide that ...there is not enough evidence at α=0.05α=0.05 that more than 83% of scientists believe in evolution.there is enough evidence at α=0.05α=0.05 that more than 83% of scientists believe in evolution. Evolution and Scientists. A professor claims that more than 83% of all scientists believe in evolution. In a2014 Pew Research survey of a representative sample of 162 scientists connected to the AmericanAssociation for the Advancement of Science (AAAS), 146 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.Она: р- 0.83Ha: p - 0.83Она: р - 0.9Ha: p = 0.9OHo: p = 0.83На: р> 0.83O Ho: p = 0.9Ha: p > 0.9OHo: p = 0.83Ha: p < 0.83Она: р- 0.9Ha: p < 0.9(b) Find the p-value (round to 4 decimals).(c) Decide whether or not to reject the null hypothesis when a = 0.05.O Fail to reject null hypothesisO Reject null hypothesis(d) You should decide that...O there is not enough evidence at a =0.05 that more than 83% of scientists believe in evolution.there is enough evidence at a0.05 that more than 83% of scientists believe in evolution.

Answered: Perform a hypothesis test of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Evolution and Scientists. A professor claims that more than 83% of all scientists believe in evolution. In a 2014 Pew Research survey of a representative sample of 162 scientists connected to the American Association for the Advancement of Science (AAAS), 146 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 = 0.83
H_a: p ≠ 0.83
H_o: p = 0.9
H_a: p ≠ 0.9
H_o: p = 0.83
H_a: p > 0.83
H_o: p = 0.9
H_a: p > 0.9
H_o: p = 0.83
H_a: p < 0.83
H_o: p = 0.9
H_a: p < 0.9

(b) Find the p-value (round to 4 decimals).

(c) Decide whether or not to reject the null hypothesis when α=0.05α=0.05.

Fail to reject null hypothesis
Reject null hypothesis

(d) You should decide that ...

there is not enough evidence at α=0.05α=0.05 that more than 83% of scientists believe in evolution.
there is enough evidence at α=0.05α=0.05 that more than 83% of scientists believe in evolution.

Evolution and Scientists. A professor claims that more than 83% of all scientists believe in evolution. In a
2014 Pew Research survey of a representative sample of 162 scientists connected to the American
Association for the Advancement of Science (AAAS), 146 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.
Она: р- 0.83
Ha: p - 0.83
Она: р - 0.9
Ha: p = 0.9
OHo: p = 0.83
На: р> 0.83
O Ho: p = 0.9
Ha: p > 0.9
OHo: p = 0.83
Ha: p < 0.83
Она: р- 0.9
Ha: p < 0.9
(b) Find the p-value (round to 4 decimals).
(c) Decide whether or not to reject the null hypothesis when a = 0.05.
O Fail to reject null hypothesis
O Reject null hypothesis
(d) You should decide that...
O there is not enough evidence at a =
0.05 that more than 83% of scientists believe in evolution.
there is enough evidence at a
0.05 that more than 83% of scientists believe in evolution.

Expert Solution

Step 1

A professor claims that more than 83% of all scientists believe in evolution.

In a 2014 Pew Research survey of a representative sample of 162 scientists connected to the American Association for the Advancement of Science (AAAS), 146 of these scientists say they believe in evolution.

$\hat{p} = \frac{146}{162} = 0.901234 = 0.90$