Concept explainers
a.
The appropriate hypotheses for the true proportions of spins are to be explained.
a.
Answer to Problem 50E
The appropriate hypotheses for the true proportions of spins are:
The null hypothesis:
The alternate hypothesis:
Explanation of Solution
Given:
On flipping of the fair coin, there is probability of coin lands on heads is
So, the null hypothesis is given by the following expression:
Exactly opposite to the null hypothesis is stated by the alternate hypothesis:
Or
Conclusion:
Hence, null hypothesis and alternate hypothesis are stated above.
b.
The
b.
Answer to Problem 50E
The
Explanation of Solution
Given:
Concept Used:
The test statistic is calculated by using the following expression:
Where,
Sample proportion:
Calculation:
Firstly need to calculate the sample proportion which is the ratio of the number of successes and the sample size:
The test statistic is calculated by using the following expression:
Put the values from given data in the above eq.
Now the probability value of the
Conclusion:
By using the chi-square subtotals, value of the test-statistics is estimated.
c.
The meaning of the
c.
Answer to Problem 50E
Explanation of Solution
If the
If the
From the answer of above part:
So,
So, it clearly shows that it has enough evidence to claim the competing about the true proportions of spin.
Conclusion:
Hence, the null hypothesis
Chapter 9 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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