Two different types of Hypothesis Tests- Claim about a Population Proportion Cla

Question

Two different types of Hypothesis Tests- Claim about a Population Proportion Claim about a Population Mean An example of each is given below. For each one, state which type of test it is, define the parameter in question, and write the null hypothesis for the test symbolically (use the math palette if necessary for appropirate symbols). (a) A research hospital tries a new antibiotic scrub before surgery to see whether it can lower the rate of infections of surgical sites. The old rate of infection is 4%. A sample of 600 surgeries with the new scrub shows 18 infections. Test the claim that new scrub lowers the rate of infection. (b) The Old Farmer's Almanac stated that the average consumption of water per person per day was 123 gallons. To test the hypothesis that this figure may no longer be true, a researcher randomly selected 16 people and found that they used on average 119 gallons per day with a standard deviation of 5.3 gallons per day. Is there evidence that the Old Farmer's Almanac might no longer be correct?

For (a) and for (b) state which type of test it and explain by defining the parameter in question. Than write the null hypothesis symbolically. Note: You are NOT being asked to do the math to conduct a full hypothesis test. Just do the three things you are told to do.

Explanation / Answer

(a) Parameter: Proportion of infections of surgical sites

Type of test: One sample z- test for proportion

Ho: p 0.04

(b) Parameter: Average water consumption per day

Type of test: One sample t- test for mean

Ho: = 123

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