There is a claim that a certain method of gender selection increases the likelihood of a baby girl, the probability of a baby girl would be greater than 0.5. Reviewing 295 cases of gender selection using this method produced 180 baby girls. If a researcher wanted to test this hypothesis at the alpha = 0.02 level of significance, calculate the probability of committing a Type II error if the true population proportion of baby girls born using this method is 0.54
Write the null and alternative hypotheses:
Given alpha= 0.02, draw a normal curve and label "acceptance" and "rejection" regions. Find the value of p' that would cause us to reject the null hypothesis. (round to 2 decimal places)
Hand-calculate the probability of a committing a Type II error, , if the true population proportion is 0.54.
For each of the following, what would you expect the beta calculation to be compared to what you found in part c? (Do not calculate)
1. The true population proportion is 0.70
2. 10,000 cases were review