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A psychologist is interested in constructing a 90% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 57 of the 712 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible.
a. With 90% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between _______ and _______.
b. If many groups of 712 randomly selected people are surveyed, then a different confidence interval would be produced from each group.
About _______ percent of these confidence intervals will contain the true population proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain and about ______ percent will not contain the true population proportion.
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Assume the null hypothesis is that μ = 50 and that the graph shown below is the sampling distribution of the mean (M). Would a sample value of M= 60 be significant in a two-tailed test at the .05 level? Roughly what value of M would be needed to b..
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Make such a plot for the above example and suggest what additional enquiries the supervisor might make in furtherance of this interactive investigation.
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