Question

Sarah conducted the following hypothesis test for µ. (a was known) H0: µ = 7 Ha:...

Sarah conducted the following hypothesis test for µ. (a was known)

H0: µ = 7

Ha: µ =l 7

31a

a = .0394. Draw a picture of Sarah’s rejection region on the appropriate curve.

31b

Sarah’s test statistic was Z = -1.S3. Draw a picture and find the p-value.

Math   Statistics-And-Probability   
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Answer #1

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a.

here' the normal curve, with the 2 rejection regions at extremes, at alpha/2 = .0197 each side.

The shaded area is the rejection region below.

b. The test test statistic is -1.53

The image below is that of a normal distribution. In black, we have the p-value , which is basically P(Z<-1.53).

Its value ( from the Z table is ) = NORMSDIST(-1.53) = .0630

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