Question

6. A scientist was testing the following hypothesis: Ho: ?= 50 vs Ha: ?< 50 A simple random sample of size n=24 is obtained from a population that is known to be normally distributed. (i) What would it mean to make a type II error for this test? (ii) If in this experiment the probability of making a type II error= 0.4, what is the power of the test? (iii) If from your hypothesis test at alpha =0.05 (and above power is true) you get a p -value =0.15, what do you conclude? Do you trust these results, why or why not? Did they have enough power? if not what should the scientist have done?

          6. A scientist was testing the following hypothesis:

Ho: ?= 50 vs Ha: ?< 50
A simple random sample of size n=24 is obtained from a population that is known to be normally distributed.

(i) What would it mean to make a type II error for this test?

(ii) If in this experiment the probability of making a type II error= 0.4, what is the power of the test?

(iii) If from your hypothesis test at alpha =0.05 (and above power is true) you get a p -value =0.15, what do you conclude? Do you trust these results, why or why not? Did they have enough power? if not what should the scientist have done?

6. A scientist was testing the following hypothesis:

Ho: ?= 50 vs Ha: ?< 50
A simple random sample of size n=24 is obtained from a population that is known to be normally distributed.

(i) What would it mean to make a type II error for this test?

(ii) If in this experiment the probability of making a type II error= 0.4, what is the power of the test?

(iii) If from your hypothesis test at alpha =0.05 (and above power is true) you get a p -value =0.15, what do you conclude? Do you trust these results, why or why not? Did they have enough power? if not what should the scientist have done?

Added by Christine L.

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