What is the answer to the following:
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Answer:
The standard deviation used to calculate the test statistic for the one-sample z-test is 0.04.
Step-by-step explanation:
A single proportion <em>z</em>-test can be performed to determine whether the proportion of people in Norway with a blood type of A positive is different from that in the United States.
It is provided that the percentage of people in the US with blood type A positive is, <em>p</em> = 36%.
A random sample of <em>n</em> = 150 people from Norway are selected to check the above claim.
The hypothesis can be defined as:
<em>H₀</em>: The proportion of people in Norway with a blood type of A positive is same as that in the United States, i.e. <em>p</em> = 0.36.
<em>Hₐ</em>: The proportion of people in Norway with a blood type of A positive is different from that in the United States, i.e. <em>p</em> ≠ 0.36.
The test statistic for the the hypothesis testing is:
The mean of the sample proportion is:
The standard deviation of sample proportion is:
Compute the standard deviation value as follows:
Thus, the standard deviation used to calculate the test statistic for the one-sample z-test is 0.04.