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NeTakaya
3 years ago
3

A 2014 study by the reputable Gallup organization estimates that 44% of U.S. adults are underemployed. Underemployed means the p

erson wants to work full time but is employed part time or unemployed. We want to know if the proportion is smaller this year. We select a random sample of 100 U.S. adults this year and find that 40% are underemployed. After carrying out the hypothesis test for p = 0.44 compared to p < 0.44, we obtain a P?value of 0.21. Which of the following interpretations of the P?value is correct?
A. There is a 21% chance that 44% of U.S. adults are underemployed this year

B. There is a 21% chance that 40% of U.S. adults are underemployed this year.

C. There is a 21% chance that 40% or fewer U.S. adults are underemployed this year if 44% were underemployed in 2014.

D. There is a 21% chance that a sample of 100 U.S. adults will have 40% or fewer underemployed if 44% of the population is underemployed this year.
Mathematics
2 answers:
pentagon [3]3 years ago
8 0

Answer:

Option D - There is a 21% chance that a sample of 100 U.S. adults will have 40% or fewer underemployed if 44% of the population is underemployed this year.

Oksi-84 [34.3K]3 years ago
5 0

Answer:

Option A is right

Step-by-step explanation:

Given that a 2014 study by the reputable Gallup organization estimates that 44% of U.S. adults are underemployed.

To check whether this proportion is smaller a hypothesis test conducted for a sample of 100 and sample proportion was found to be 0.40

p value =0.21

Normally p value is small, we reject null hypothesis. and if p is greater than alpha we accept null hypothesis

A. There is a 21% chance that 44% of U.S. adults are underemployed this year

is the right option.

Though hypothesis done for sample means, the interest was for the whole population.

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