sample of 36 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. onduct the following test of hypothesis using the 0.05 significance level. P=50 P#50 Is this a one- or two-tailed test? O One-tailed test OTwo-tailed test What is the decision rule? O Reject Ho if -1.96 1.96

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 13PPS
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A sample of 36 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5.
Conduct the following test of hypothesis using the 0.05 significance level.
He: H=50
H₁: p 50
a. Is this a one- or two-tailed test?
O One-tailed test
OTwo-tailed test
b. What is the decision rule?
Check
O Reject Ho if -1.96 < z < 1.96
Reject He if z<-1.96 or z> 1.96
Transcribed Image Text:A sample of 36 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level. He: H=50 H₁: p 50 a. Is this a one- or two-tailed test? O One-tailed test OTwo-tailed test b. What is the decision rule? Check O Reject Ho if -1.96 < z < 1.96 Reject He if z<-1.96 or z> 1.96
e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.)
p-value
e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)
There is a
% chance of finding a z value this large by sampling error when HQ is true
c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal
places.)
Value of the test statistic
Transcribed Image Text:e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.) p-value e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.) There is a % chance of finding a z value this large by sampling error when HQ is true c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) Value of the test statistic
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