You wish to test the following claim (HaHa) at a significance level of α=0.001 Ho:p1=p2 Ha:p1<p2You obtain 4.7% successes in a sample of size n1=299 from the first population. You obtain 7.8% successes in a sample of size n2=602 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 test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is...less than (or equal to) ααgreater than ααThis test statistic leads to a decision to...reject the null hypothesisaccept the null hypothesisfail to reject the null hypothesisAs such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion.There is not sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion.The sample data support the claim that the first population proportion is less than the second population proportion.There is not sufficient sample evidence to support the claim that the first population proportion is less than the second population proportion.

For the given data Find the test statistic = ? p-value = ? The p-value is... decision to... final…

Answered: You wish to test the following claim…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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You wish to test the following claim (HaHa) at a significance level of α=0.001

Ho:p1=p2
Ha:p1<p2

You obtain 4.7% successes in a sample of size n1=299 from the first population. You obtain 7.8% successes in a sample of size n2=602 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 test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

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

The p-value is...

less than (or equal to) αα
greater than αα

This test statistic leads to a decision to...

reject the null hypothesis
accept the null hypothesis
fail to reject the null hypothesis

As such, the final conclusion is that...

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