You wish to test the following claim (HaHa) at a significance level of α=0.02 Ho:p=0.4 Ha:p<0.4You obtain a sample of size n=591 in which there are 209 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.What is the test statistic for this sample? (Report answer accurate to two decimal places.)test statistic = What is the PP-value for this sample? (Report answer accurate to four decimal places.)PP-value = The PP-value is...less than (or equal to) ααgreater than ααThis test statistic leads to a decision to...reject the nullaccept the nullfail to reject the nullAs such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.4.There is not sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.4.The sample data support the claim that the population proportion is less than 0.4.There is not sufficient sample evidence to support the claim that the population proportion is less than 0.4.

Name: You wish to test the following claim (HaHa) at a significance level of
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Description: You wish to test the following claim (HaHa) at a significance level of α=0.02 Ho:p=0.4 Ha:p<0.4You obtain a sample of size n=591 in which there are 209 successful observations. For this test, you should NOT use the continuity correction, an

Given : Sample size (n)=591 Number of successes (X)=209 p0=0.4 The sample proportion can be computed as follows: p¯=Xn=209591p¯=0.3536 The z test statistic can be computed as follows: z=p¯-p0p01-p0/nz=0.3536-0.40.41-0.4/591z=-2.30253z=-2.30 The test statistic is -2.30.The p-value: By using table: P-value = 0.0107 The p-value is less than (or equal) to α. 0.0107<0.02 Since, p-value is less than 0.02. This test statistic leads to a decision to reject the null. The final conclusion is that there is sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.4.

Answered: You wish to test the following claim…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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You wish to test the following claim (HaHa) at a significance level of α=0.02

Ho:p=0.4
Ha:p<0.4

You obtain a sample of size n=591 in which there are 209 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

What is the test statistic for this sample? (Report answer accurate to two decimal places.)
test statistic =

What is the PP-value for this sample? (Report answer accurate to four decimal places.)
PP-value =

The PP-value is...

less than (or equal to) αα
greater than αα

This test statistic leads to a decision to...

reject the null
accept the null
fail to reject the null

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.4.
There is not sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.4.
The sample data support the claim that the population proportion is less than 0.4.
There is not sufficient sample evidence to support the claim that the population proportion is less than 0.4.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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