.0000 Sprint 8:54 PM myopenmath.com Y\'VILU, IU YIT LIU, IUJ 7.LIIuj Q 13 [2.6/1

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.0000 Sprint 8:54 PM myopenmath.com Y'VILU, IU YIT LIU, IUJ 7.LIIuj Q 13 [2.6/10] Q 14 [1.8/10] Q 15 [1.8/10] Q 16 [3.8/10]-/ Q 17 [9/ 101 C Q 18 (0/10) Q 19 [10/10]Q 20 [10/10] Q21 [10/10] Q 22 [10/10x Q23 [0/10] Q 24 [10/10] Q 25 [10/10]Q26 [10/10] Q 27 [10/10] Q 28 [10/ 101Q 29 [10/10] Q30 [10/10] xQ 31 [0/10Q 32 [0/10] Q 33 [10/10] Q 34 [10/10] Q 35 [10/10] Q 37 [10/10]Q 38 [10/ 10] Q 36 [10/10] Q 39 [10/ 10] C Q 40 (0/10)Q41 [10/10] Grade: 254.7/410 Print Version You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 13%. With M : p

Explanation / Answer

p value is defined as the probability that the test statisticc will take more extreme values than the observed value in the direction of the alternative hypotheses under H0.

Here for the test of proportions we have selected the z statistic which is the standard normal statistic.

Z = (obs(p)-0.13)/Var(p) where Var(p)=0.13*(1-0.13)/n where the experiment is done n times.

The observed value of z is -2.432 and the direction of alternative hyp is lesser than the observed value.

So p-value is P(z<-2.342) where z follows N(0,1) under H0. = 0.00751 from biometrika tables.

The sample proportion of heads = no. of heads in the sample/no. of times coin is spun = 104/250 = 0.416

We want to test if the prob of head and tail are different i.e if p=0.5 or not. So we will test the hypotheses d> H0:p=0.5 vs H1:p not equal to 0.5.

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