You wish to test the following claim (Ha) at a significance level of α=0.10 Ho:p1=p2 Ha:p1>p2 You obtain 97 successes in a sample of size n1=528 from the first population. You obtain 51 successes in a sample of size n2=576 from the second population. 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 critical value for this test? (Report answer accurate to two decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... in the critical region not in the critical region 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 first population proportion is greater than the second population proportion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. The sample data support the claim that the first population proportion is greater than the second population proportion. There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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You wish to test the following claim (Ha) at a significance level of α=0.10

Ho:p1=p2
Ha:p1>p2

You obtain 97 successes in a sample of size n1=528 from the first population. You obtain 51 successes in a sample of size n2=576 from the second population. 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 critical value for this test? (Report answer accurate to two decimal places.)
critical value =

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

The test statistic is...

in the critical region
not in the critical region

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

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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