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A survey asks a random sample of 2500 adults in California if they support an increase in the state sales tax from 7.50% to 7.75%, with the additional revenue going to education. Let Y denote the number in the sample that say they support the increase. Suppose that 30% of all adults in California support the increase. The mean of Y is:_______

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MrRoyal

Answer:

[tex]E(Y) = 750[/tex]

Step-by-step explanation:

Given

Sample Size = 2500

Percentage = 30%

Required

Calculate Mean of Y

Mean or Expected Value is calculated as thus;

[tex]E(Y) = np[/tex]

Where E(Y) represents the mean

n represents the sample size (or population)

p represents the success probability

[tex]n = 2500 ; p = 30%[/tex]%

[tex]p = \frac{30}{100} = 0.3[/tex]

So,

[tex]E(Y) = 2500 * 0.3[/tex]

[tex]E(Y) = 750[/tex]

Hence, the mean value of Y is 750

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