It is believed that the average level of prothrombin in a normal population is 20 mg/100 ml of blood plasma with a standard deviation of 4 mg/100 ml. To verify this, a sample is taken from 40 individuals in whom the average is 18.5 mg/100 ml. Use hypothesis testing to decide if the claim and be accepted with a significance level of 5%?
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Exercise 1
A company that packages peanuts states that at a maximum 6% of the peanut shells contain no nuts. At random, 300 peanuts were selected and 21 of them were empty.
1.With a significance level of 1%, can the statement made by the company be accepted?
2.With the same sample percentage of empty nuts and 1 − α = 0.95, what sample size would be needed to estimate the proportion of nuts with an error of less than 1%?
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