Concept explainers
To find: that these data provide convincing evidence at the

Answer to Problem 43E
There is enough convincing evidence that the media report’s claim is correct.
Explanation of Solution
Given:
Claim is more than 75%
Formula used:
Calculation:
The claim is either the null hypothesis or the alternative hypothesis. The null hypothesis statement is that the population proportion is equal to the value given in the claim. If the null hypothesis is the claim, then the alternative hypothesis statement is the opposite of the null hypothesis.
Conditions
The three conditions for finding a hypothesis test for the population proportion
Random: Satisfied, the reason is that the sample is a random sample.
Independent: Satisfied, because the sample of 558 middle school students is less than 10% of the population of the population of all middle school students .
Normal: Satisfied, because
Are both at least 10.
Since all conditions are satisfied, it is appropriate to use a hypothesis test for the population proportion
Hypothesis test
The sample proportion is
The test-static is
The P-value is the probability of getting the value of the test statistic, or a value more extreme, when the null hypothesis is true, find the P-value using the normal probability table
If the P-value is lesser than the significance level
There is enough convincing evidence that the media report’s claim is correct.
Chapter 9 Solutions
PRACTICE OF STATISTICS F/AP EXAM
Additional Math Textbook Solutions
College Algebra with Modeling & Visualization (5th Edition)
Elementary Statistics (13th Edition)
A First Course in Probability (10th Edition)
Elementary Statistics
Thinking Mathematically (6th Edition)
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