The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H0 when the level of significance is (a) α=0.01, (b) α=0.05, and (c) α=0.10. (a) Do you reject or fail to reject H0 at the 0.01 level of significance? A. Reject H0 because the P-value, 0.1151, is less than α=0.01. B. Fail to reject H0 because the P-value, 0.1151, is less than α=0.01. C. Reject H0 because the P-value, 0.1151, is greater than α=0.01. D. Fail to reject H0 because the P-value, 0.1151, is greater than α=0.01. (b) Do you reject or fail to reject H0 at the 0.05 level of significance? A. Reject H0 because the P-value, 0.1151, is greater than α=0.05. B. Fail to reject H0 because the P-value, 0.1151, is less than α=0.05. C. Reject H0 because the P-value, 0.1151, is less than α=0.05. D. Fail to reject H0 because the P-value, 0.1151, is greater than α=0.05. (c) Do you reject or fail to reject H0 at the 0.10 level of significance? A. Reject H0 because the P-value, 0.1151, is less than α=0.10. B. Fail to reject H0 because the P-value, 0.1151, is less than α=0.10. C. Reject H0 because the P-value, 0.1151, is greater than α=0.10. D. Fail to reject H0 because the P-value, 0.1151, is greater than α=0.10.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3BGP

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Question

The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H0 when the level of significance is (a) α=0.01,
(b) α=0.05,
and (c) α=0.10.

(a) Do you reject or fail to reject H0 at the 0.01
level of significance?

Reject

because the P-value,

0.1151,

less

than

α=0.01.

Fail to reject

because the P-value,

0.1151,

less

than

α=0.01.

Reject

because the P-value,

0.1151,

greater

than

α=0.01.

Fail to reject

because the P-value,

0.1151,

greater

than

α=0.01.

(b) Do you reject or fail to reject

H0 at the 0.05 level of significance?

Reject

because the P-value,

0.1151,

greater

than

α=0.05.

Fail to reject

because the P-value,

0.1151,

less

than

α=0.05.

Reject

because the P-value,

0.1151,

less

than

α=0.05.

Fail to reject

because the P-value,

0.1151,

greater

than

α=0.05.

H0 at the 0.10 level of significance?

Reject

because the P-value,

0.1151,

less

than

α=0.10.

Fail to reject

because the P-value,

0.1151,

less

than

α=0.10.

Reject

because the P-value,

0.1151,

greater

than

α=0.10.

Fail to reject

because the P-value,

0.1151,

greater

than

α=0.10.

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