Computing test statistic and p-value for sample

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Reference no: EM1321704

Q1) In 1,000 samples, suppose that H0 is true, how many times would you expect to cause Type I error if (a) α = .05, (b) α = .01, and (c) α = .001.

 

Q2) Compute test statistic and p-value for each sample. (Negative amount must be pointed out by minus sign.)

 

i) H0: π ≤ .60 versus H1: π > .60, α = .05, x = 56, n = 80

 

ii) H0: π = .30 versus H1: π ≠ .30, α = .05, x = 18, n = 40

 

iii) H0: π ≥ .10 versus H1: π < .10, α = .01, x = 3, n = 100

 

Q3) Digital camcorder repair service has set goal not to exceed the average of 5 working days from time the unit is brought in to time repairs are completed. Random sample of 12 repair records illustrated the following repair times (in days):

 

9, 2, 5, 1, 5, 4, 7, 5, 11, 3, 7, 2

 

a) H0: μ≤ 5 days versus H1: μ> 5 days. Select the right option.

 

Reject H0 if t < 1.796

 

Reject H0 if t >1.796

 

b) Compute t-value.

 

c) Null hypothesis must be rejected.

 

i) True

 

ii) False

Reference no: EM1321704

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