In: Statistics and Probability
Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 141 adult males, the mean pulse rate is 68.5 bpm and the standard deviation is 10.6 bpm. Find the value of the test statistic.
Claim: Fewer than 90% of adults have a cell phone. In a reputable poll of 1190 adults, 81% said that they have a cell phone. Find the value of the test statistic.
1) Ho : = 69 Vs H1 : 69
Test statistic t = (xbar - )/(s/√n)
t = (68.5 -69)/(10.6/√141)
t = -0.56
2) here p= 0.90 , n = 1190 , p^ = 0.81
Test statistic Z = (p^ - p)/sqrt[p*q/n]
Z = (0.81-0.90)/sqrt[0.90*0.10/1190]
Z = -10.35