(c) Based on your answer to part (b), choose what the administrator can conclude, at the 0.10 level of significance. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 59CR
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(b) Perform a Z-test and find the p-value.
Es
Here is some information to help you with your Z-test.
• The value of the test statistic is given by
• The p-value is the area under the curve to the left of the value of the test statistic.
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
O One-tailed
O Two-tailed
0.3-
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
0.339
02
Step 3: Shade the area represented by
the p-value.
0.1
Step 4: Enter the p-value.
(Round to 3 decimal places.)
0.367
-2
-3
z = 0.339
Transcribed Image Text:(b) Perform a Z-test and find the p-value. Es Here is some information to help you with your Z-test. • The value of the test statistic is given by • The p-value is the area under the curve to the left of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3- Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.339 02 Step 3: Shade the area represented by the p-value. 0.1 Step 4: Enter the p-value. (Round to 3 decimal places.) 0.367 -2 -3 z = 0.339
Step 4: Enter the p-value.
(Round to 3 decimal places.)
0.367
1
z = 0.339
(c) Based on your answer to part (b), choose what the administrator can conclude, at the 0.10 level of significance.
O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is
enough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers.
Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is
not enough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers.
O since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough
evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers.
O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough
evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers.
Transcribed Image Text:Step 4: Enter the p-value. (Round to 3 decimal places.) 0.367 1 z = 0.339 (c) Based on your answer to part (b), choose what the administrator can conclude, at the 0.10 level of significance. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers. O since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean distance hiked by each visitor is now less than 30 kilometers.
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