Find a news story that presents statistics as evidence. Consider the following q

Question

Find a news story that presents statistics as evidence. Consider the following questions:
1. What are they trying to prove? I.e., what question are they trying to answer?
2. What would the null hypothesis be--how could they say that what they are trying to prove isn't happening?
3. What would happen if they rejected the null?
    a. What action would they take?
    b. If there were a type I error, what would be the effect of the action taken?
4. What would happen if they could not reject the null?
    a. What action would they take?
    b. If there was a type II error, what would be the effect of the action?

Post a statement that identifies the null and alternative hypotheses involved in your article, the implications of the two potential conclusions that might have resulted, and the impact of potential Type I and/or Type II errors. Refer to the “Type II Error and the Power of a Test” section in the course text as well as reputable sources on the Internet to help in the formulation of your post.

Explanation / Answer

"The Medco pharmaceutical has come up with a new antibiotic, and it has been reported that two percent of children taking competing antibiotics experince headache as a side effect. A researcher for the Food and Drug adminstrator wants to determine if the percentage of children taking the new antibiotic who experience a headcahe as a side effect is more than 2%. The reasearcher conducts a test with H0:p=0.02 and H1:p>0.02."

1. They are trying to find or answer whether percentage of children taking the new antibiotic who experience a headcahe as a side effect is more than 2%.

2. The null hypothesis is the hypothesis of no difference, that is a tentative proposition which states that proportion of children taking new antibiotic who experience a headache is 0.02.

3. a. If null hypothesis is rejected, it would be proved that proportion of children taking the new antibiotic who experience a headache is more than 2%. This may be considered an important sign for withdrawing the medicine from the market.

b. A type I error is made if the sample evidence leads the researcher believe that p>0.02, when infact the proportion of children who experience the headache is not greater than 0.02.

4. a. If null hypothesis is not rejected, one could safely assert that proportion of children who experience headache is 0.02. The percentage being within considerable limit, drug controlling board might not disallow the medicine to continue in the market.

b. A Type II error is made if the researcher doesnot reject the null hypothesis that the proportion of children experiencing a headache is equal to 0.02, when in reality the proportion of children who experience a headache is more than 0.02.

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