A population of interest has a proportion of \( p=0.24 \). Consider a sampling distribution of the sample proportions for 1000 samples of sample size \( n=180 \). You may use the Sampling Distribution tool to answer the following. What value should be in the center of the distribution? 1000 180 0.24 43.2
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Bonus Knowledge
In the sampling distribution of sample proportions, the center of the distribution is equal to the population proportion \( p \). Since you provided that the population proportion is \( p = 0.24 \), the center of the distribution for the sample proportions of the samples Of size \( n=180 \) is \( 0.24 \). It's also important to note that, in sampling distributions, most values will cluster around this center, typically forming a normal distribution as the sample size increases. So, 0.24 is your go-to value for the center!
