According to a national survey, 45% of Americans make New Year resolutions. The editor of the high school newspaper wants to know if the proportion of students at their school that make New Year resolutions is different 45%. The editor will carry out a test at the a = 0.10 significance level of
Hp =0.45
Hp =\ 0.45
where p = the true proportion of all students at the school that make New Year resolutions. The editor selected a random sample of 50 students and 28 said they
make New Year resolutions. Which of the following is the P-value for this hypothesis test?
A.0.0590
B.0.1179
C.0.8821
D.0.9410

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.