Question

A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 14 of the plates have blistered. If it is really the case that 15% of all plates blister under these circumstances and a sample size of 100 is used, how likely is it that the null hypothesis of part (a) will not be rejected (to 4 decimal places). (The probability of making a type 2 error when the true value of p = 0.15)

Answer 1

solution:

given that

a nickel hydrogen batteries randomly selects 100 cells

the determinate of the 14 plates have the blistred

in case all plates under these circumstances 15/

will not to be reject to the 4 decimal places

Soul given data Sample size n100 X = 14 Ô - In 1/100 @=0-14 Hypothesis Ho EQ: 0.15 Hi 9 0.15 test two -tailed It Ň is Gry ticalo valves d =0.05 dy -0.025 2 72, - 1.96

Test statistica À - Po Z 2 Powo n 0-14 -0.15 2 Jo.1s (1-0.15) 100 0.28 IZ? 0.7794 Po value Decision we do not D-value sa 10-os) here reject Ho Conclusion we do not have enough evidence to support the claim that when the true value of Q=0.15. Type 7 error because when it's fails to 15 possible reject the null hypo the sig.