Life on Other PlanetsForty-six percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed

125

randomly selected individuals and found75

believed that there is life on other planets. At=

0.05

,is there sufficient evidence to conclude that the percentage differs from46

%

?Use the critical value method with tables.

Part 1 of 5

(a)State the hypotheses and identify the claim.

:

H

0

=

p

0.46

not claim

:

H

1

<

p

0.46

claim

This hypothesis test is a

two-tailed

test.

Part 2 of 5

(b)Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas.

Critical value(s):

1.645

Part 3 of 5

(c)Compute the test value. Round the answer to at least two decimal places.

z

=

1.32

Part 4 of 5

(d)Make the decision.

Do not reject

the null hypothesis.

Part:4 / 5

4 of 5 Parts Complete

Part 5 of 5

(e)Summarize the results.

There is

not enough evidence to support the claim

that the percentage of people who believe that there is life on other planets differs from46

%

.