Question

Find the minimum sample size you should use to assure that your estimate of  will be within the required margin of error around the population proportion p.

1. Margin of error:  0.027;  confidence level: 93%;   is unknown

1. 1. 1124                             b.  1123                                    c.  2168                        d.  842
2. Margin of error:  0.025;  confidence level: 94%;  from a prior study,  is estimated to be 0.38.
   1. 1414                             b.   1332                       c.   1413                                    d.   1333

Solve the problem

3. Find the point estimate of the true proportion of people who are over 6 feet tall, if 184 people are randomly selected from a certain population and it is found that 41 of them are over 6 feet tall.
   1. 0.223                            b.   0.146                      c.   0.033                       d.   4.488

In the following three problems use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Then find the Point Estimate, and then interpret the results.

4. A survey of 976 voters in one state reveals that 478 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval.

4. 1. 0.440 < p < 0.540          b.  0.458 < p < 0.521      c.  0.487 < p < 0.493      d.  0.464 < p < 0.516
5. From the results in the problems above, we can say that
   1. At this Confidence Level it’s too close to call what the voters favor.
   2. More do not favor the proposal than favor it.
   3. The majority do not favor the approval.
   4. The majority favor approval.

Answer 1