You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:p=0.56Ho:p=0.56 Ha:p>0.56Ha:p>0.56You obtain a sample of size n=680n=680 in which there are 391 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.)The p-value for this test is (assuming HoHo is true) the probability of observing...at most 391 successful observationsat least 391 successful observationsWhat 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 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 greater than 0.56.There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.56.The sample data support the claim that the population proportion is greater than 0.56.There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.56.

Given : n=680 , X=391 , p0=0.56 , α=0.10 The estimate of the sample proportion is ,…

Answered: You wish to test the following claim…

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 (HaHa) at a significance level of α=0.10α=0.10.

Ho:p=0.56Ho:p=0.56
Ha:p>0.56Ha:p>0.56

You obtain a sample of size n=680n=680 in which there are 391 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.)

The p-value for this test is (assuming HoHo is true) the probability of observing...

at most 391 successful observations
at least 391 successful observations

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
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 greater than 0.56.
There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.56.
The sample data support the claim that the population proportion is greater than 0.56.
There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.56.

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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