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# According to a poll of adults about 42% work during their summer vacation. Suppose that this...

## Question

###### According to a poll of adults about 42% work during their summer vacation. Suppose that this...

According to a poll of adults about 42% work during their summer vacation. Suppose that this claim about the population proportion is true. Now if we take a sample of 49 adults, and find the sample proportion [^(p)] of adults who work during summer vacation.

*Please show how you calculated the answers!

What is the expected value of sample proportion [^(p)]? 0.42

 Computer's answer now shown above. You are correct. Your receipt no. is 159-1096 Previous Tries

What is the standard deviation of sample proportion [^(p)]? 0.0705

 Computer's answer now shown above. You are correct. Your receipt no. is 159-2974 Previous Tries

The shape of the sampling distribution of sample proportion [^(p)] will be roughly like a
Incorrect student's t distribution
Correct: normal distribution
Incorrect uniform distribution
Incorrect Poisson distribution
Incorrect binomial distribution

 Computer's answer now shown above. You are correct. Your receipt no. is 159-8316 Previous Tries

P(0.31 ? [^(p)] ? 0.55) = 0.908

 Computer's answer now shown above. You are correct. Your receipt no. is 159-4111 Previous Tries

Is the sample large enough to compute the above probability?
Yes, because n ? 30
Yes, because np ? 10 and n(1?p) ? 10.
Yes, because the number of successes and failures are both larger than 10.
No, the sample size is not sufficiently large. We actually had to assume normally distributed population.
Yes, because np ? 10.

 Incorrect. Tries 2/3 Previous Tries

Find c such that P([^(p)] ? c) = 0.6

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