QuestionThe recommended daily amount of vitamin C for an adult is 80 milligrams. A pharmacist would like to test the claim that the average amount of daily vitamin C intake is different than the generally accepted amount of 80 milligrams. To test this claim, at the significance level, the pharmacist collects the following data on a sample of 40 adults and records the daily intake of vitamin C. The following is the data from this study:
Sample size adults
Sample mean milligrams
From past data, it is known that the population standard deviation is 14 milligrams.
Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol ( , or to represent the correct hypothesis.)
Provide your answer below:
null hypothesis :
alternative hypothesis :
Studdy Solution
STEP 1
1. The pharmacist wants to test if the average daily intake of vitamin C is different from 80 milligrams.
2. The significance level is .
3. The population standard deviation is known, allowing the use of a Z-test.
STEP 2
1. Define the null hypothesis.
2. Define the alternative hypothesis.
STEP 3
The null hypothesis () represents the statement that there is no effect or no difference. In this context, it means the average daily intake of vitamin C is equal to 80 milligrams.
STEP 4
The alternative hypothesis () represents the statement that there is an effect or a difference. In this context, it means the average daily intake of vitamin C is different from 80 milligrams.
The null and alternative hypotheses are:
Null hypothesis:
Alternative hypothesis:
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