(a)
To Explain: the sample result gives some evidence for the alternative hypothesis.
(a)
Answer to Problem 39E
Sample proportion of 0.6833 is less than 0.80
Explanation of Solution
Given:
Formula used:
Calculation:
The sample proportion is the number of successes divided by the sample size:
Since the sample proportion of 0.6833 is less than 0.80, the sample result gives some evidence for the alternative hypothesis as it agrees with the alternative hypothesis
(b)
To Calculate: the standardized test statistic and P-value.
(b)
Answer to Problem 39E
Z = -2.26
P = 0.0119
Explanation of Solution
Given:
Formula used:
Calculation:
The sample proportion is
The test-statistic is
The P-value is the probability of getting the value of the test static, or a value more extreme, when the null hypothesis is true. Find the P-value using the normal probability table
(c)
To Explain: the conclusion would make.
(c)
Answer to Problem 39E
There is sufficient convincing proof that the proportion of all students at researcher’s high school who have a computer at home is less than 0.80.
Explanation of Solution
Given:
Formula used:
Calculation:
The sample proportion is
The test-statistic is
The P-value is the probability of getting the value of the test static, 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 smaller than the significance level
There is sufficient convincing proof that the proportion of all students at researcher’s high school who have a computer at home is less than 0.80.
Chapter 9 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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