Question

In September 2003, Lena spun a penny 89 times and observed 2 Heads.

Let p denote the true probability that one spin of her penny will result

in Heads.

In September 2003, Lena spun a penny 89 times and observed 2 Heads Let p denote the true probability that one in Heads spin of her penny will result (a) The significance probability for testing Ho : p 2 0.3 versus p 0.3 is p P(Y <2), where Y~ Binomial (89; 0.3) H1 i. Compute p as in Section 9.1, using the binomial distribution and pbinom ii. Approximate p as in Section 9.4, using the normal distribu- tion and pnorm. How good is this approximation? (b) Construct a 1-sided confidence interval for p by determining for which values of po the null hypothesis Ho p po would be retained at a significance level of (approximately) a 0.05

Answer 1

Page NO 0 Solution Given Nunben of =89 haods obseved = Numben 2 &9 O 022 MRon 89 xo. 3D 26. 7 2- dasiation ) - Inpay Stardard -/18.69 89 KO.30x O.10 4.3231 b) bided Confideneintuvo One P a n Po.3+ /165 x/0. 3 K01 ) 0.303795 Exampla n 89 O.o5 intuva Sidad Confidana ora +(65 P o O465