A college administrator claims that 84% of college students purchase their books from the campus bookstore. You this is inaccurate and form a random sample of 66 students at that college and find that 61 of them purchased their books from the bookstore. Test the administrator's claim using a level of significance of 5%.What type of test will be used in this problem? What evidence justifies the use of this test? Check all that applyThe sample size is larger than 30np>5and nq>5 The population standard deviation is knownThe original population is approximately normalThe population standard deviation is not knownThere are two different samples being comparedThe sample standard deviation is not knownEnter the null hypothesis for this test.H0Enter the alternative hypothesis for this test.H1:Is the original claim located in the null or alternative hypothesis?What is the test statistic for the given statistics?What is the p-value for this test?What is the decision based on the given statistics?What is the correct interpretation of this decision? Using a % level of significance, theresufficient evidence to the claim that 84% of college students purchase their books from the campus bookstore.

Answered: A college administrator claims that 84%…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A college administrator claims that 84% of college students purchase their books from the campus bookstore. You this is inaccurate and form a random sample of 66 students at that college and find that 61 of them purchased their books from the bookstore. Test the administrator's claim using a level of significance of 5%.

What type of test will be used in this problem?

What evidence justifies the use of this test? Check all that apply
- The sample size is larger than 30
- np>5

and nq>5

- The population standard deviation is known
- The original population is approximately normal
- The population standard deviation is not known
- There are two different samples being compared
- The sample standard deviation is not known
Enter the null hypothesis for this test.
H0
Enter the alternative hypothesis for this test.
H1:
Is the original claim located in the null or alternative hypothesis?
What is the test statistic for the given statistics?
What is the p-value for this test?
What is the decision based on the given statistics?
What is the correct interpretation of this decision?

Using a % level of significance, there

sufficient evidence to the claim that 84% of college students purchase their books from the campus bookstore.

Expert Solution

Step 1

The type of test used is one-proportion test because the claim is to test whether 84% of college students purchase their books from the campus bookstore or not.

Thus, the type of test used is One-proportion test.

From the given information, the population proportion is 0.84, and sample size is 66.

The evidence justifies the use of this test is $n p > 5 a n d n q > 5$ .

Checking conditions:

$\begin{array}{rcl} n p & = & 66 \times 0.84 \\ = & 55.44 \\ > & 5 \end{array}$

$\begin{array}{rcl} n p & = & 66 \times (1 - 0.84) \\ = & 66 \times 0.16 \\ = & 10.56 \\ > & 5 \end{array}$

Thus, the conditions are satisfied.

The hypothesis is,

Null hypothesis:

$H_{0} : p = 0.84$

Alternative hypothesis:

$H_{1} : p \neq 0.84$

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