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. 71 of the 801 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 between _____and ______ .b.  If many groups of 801 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. Show all of your work by hand while ONLY using a graphing calculator. No EXCEL.

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Asked Mar 9, 2020
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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. 71 of the 801 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 between _____and ______ .

b.  If many groups of 801 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.

 

Show all of your work by hand while ONLY using a graphing calculator. No EXCEL.

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Expert Answer

Step 1

a:

It is given that 71 out of 801 randomly selected people surveyed agreed with the theory.

The sample proportion is 71/801 = 0.0886.

The sample size is 801.

Since the required confidence interval is 95%, the two-tailed z value at 0.05 level of significance is 1.96.

The 95% confidence interval for the population proportion is calculated as follows:

Statistics homework question answer, step 1, image 1

Thus, with 95% confidence the proportion of all people who accept the theory that ...

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