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Answer:
The randomization will be centered around 0.5
Step-by-step explanation:
n = 30
Null hypothesis, H₀ : p = 0.5
Alternative hypothesis, : p > 0.5
The randomization will be centered around 0.5
The indication of where the randomization distribution will be centered shows that the randomization distribution is always centered at the value of the parameter given in the null hypothesis, which is p = 0.5.
Where is the randomization distribution centered?
- The randomization distribution is centered on the value in the null hypothesis.
- Since the null hypothesis is given as H0:p=0.5 and the alternate hypothesis is Ha:p>0.5 with sample values of p^=0.7 and n=30, the value in the null hypothesis is used to center the randomization distribution.
What is the randomization distribution?
- The randomization distribution is the graphical representation of data or all the values for the statistic in the form of a histogram based on the random assignment of the sample.
- The variability in a sample statistic results from the induced variability of the random sample.
Thus, the randomization distribution is always centered at the value of the parameter given in the null hypothesis, which is p = 0.5.
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