5. Have efforts to promote equality for women gone far enough in the United Stat

Question

5. Have efforts to promote equality for women gone far enough in the United States? A poll on this issue by the cable network MSNBC contacted 1019 adults. Overall 550 out of the 1019 people answered “Yes.” We wish to estimate the proportion of all adults who would answer yes.

A. Name the inference method needed to answer the question posed

• One-Sample t-distribution (confidence interval or significance test)

• One-Proportion Z-dist. (interval/test)

• Two-sample t-dist. (interval/test)

• Two-Proportion Z-dist. (interval/test)

B. List the conditions required for this procedure & explain whether each condition has been met.

C. Determine if is appropriate to perform the significance test or confidence interval.

Explanation / Answer

Here sample size is very large and only two types of outcomes as "yes" and "no"

So the appropriate inference method is  One-Proportion Z-dist. (interval/test)

B) Each people say yes or no independnetly

The probability of saying yes or no is same for each trial

n = sample size is large and fixed

n * p > 10

2) Here we are interested for testing "wether the efforts to promote equality for women gone far enough in the United States or not"

This is the one sided test so that using significance test  is appropriate to perform than confidence interval.

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