Question

A psychologist is interested in constructing a 95% 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. 65 of the 732 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible.

a. With 95% 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 betweenand .

b. If many groups of 732 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.

Answer 1

ay p = 65 = 0·0888 n=732 732 954.(I P + 2/2 | P (1-P) 0.0888 +1.96 0.0888 C1 -0.0888) 732 C0-0888 – 0.01642) (0.0566 , 0.1209) 95-1.c I proportion o

b) If many groups of 732randomly selected people are surveyed, then a different confidence interval would be produced from each group. About 95% 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 5% percent will not contain the true population proportion.