Mathematics, 11.11.2020 18:10 yialefi
A polling agency is investigating the voter support for a ballot measure in an upcoming city election. The agency will select a random sample of 400 voters from one region, Region A, of the city. Assume that the population proportion of voters who would support the ballot measure in Region A is 0.46.
Required:
What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50?
Answers: 1
![P[p_10.5] = P \bigg [ \dfrac{p_1-P_1}{\sqrt{\dfrac{P_1(1-P_1)}{n_1}}}\dfrac{0.5-0.46}{\sqrt{\dfrac{0.46(1-0.46)}{400}}} \bigg]](/tpl/images/0888/1067/1fe54.png)
![P[p_10.5] = P \bigg [ Z\dfrac{0.04}{\sqrt{\dfrac{0.46(0.54)}{400}}} \bigg]](/tpl/images/0888/1067/4aad1.png)
![P[p_10.5] = P \bigg [ Z\dfrac{0.04}{\sqrt{6.21\times 10^{-4}}} \bigg]](/tpl/images/0888/1067/933ae.png)
![P[p_10.5] = P \bigg [ Z1.605 \bigg]](/tpl/images/0888/1067/a61bf.png)
![P[p_10.5] = 1- P [ Z](/tpl/images/0888/1067/ce62e.png)
![P[p_10.5] = 1- 0.9456](/tpl/images/0888/1067/c27f9.png)
![P[p_10.5] =0.0544](/tpl/images/0888/1067/8e64e.png)
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A polling agency is investigating the voter support for a ballot measure in an upcoming city electio...
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