In a previous​ year, 54​% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 500 females aged 15 and older and finds that 264 are living alone. Is there sufficient evidence at the α=0.05 level of significance to conclude the proportion has​changed?

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A:

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Q: random sample of n = 16 scores is obtained from a population with a mean of μ = 80, and a treatment…

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A: Solution

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Q: A simple random sample of size n=14 is obtained from a population with μ=67 and σ=19.   Assuming…

A: From the given information, Consider,  Sample size (n) = 14 Population with μ=67 and σ=19. Thus,

Q: In a previous year, 61% of females aged 15 and older lived alone. A sociologist tests whether this…

A: According to our guidelines we can answer only first question and rest can be reposted.

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Q: For a particular population, a sample of n = 4 scores has a standard error of 6. For the same…

A: For a population, sample size is 4 and standard error is 6.

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.