A2014 study by the reputable gallup organization estimates that 44% of u. s. adults are underemployed. underemployed means the person 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.

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.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )