An organization is considering having a "Bring your pet to work" day. The administration takes an  SRS  of 35 of their employees and finds that 20 percent of those sampled are allergic to pets. Administration is considering taking more samples like this. Suppose that of all 500 employees of the organization, it's actually 10 percent that are allergic. Let \hat pp^​p, with, hat, on top represent the proportion of a sample of 35 employees that are allergic to pets. What are the mean and standard deviation of the sampling distribution of \hat pp^​p, with, hat, on top?​

step-by-step explanation:

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step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

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