Question

1, In 1943​, an organization surveyed 1100 adults and​ asked, "Are you a total abstainer​ from, or do you on occasion consume, alcoholic​ beverages?" Of the 1100 adults​ surveyed, 385 indicated that they were total abstainers. In a recent​ survey, the same question was asked of 1100 adults and 363 indicated that they were total abstainers. Complete parts​ (a) and​ (b) below.

​(a) Determine the sample proportion for each sample.

The proportions of the adults who took the 1943 survey and the recent survey who were total abstainers are

and ​, respectively.

​(Round to three decimal places as​ needed.)

(b)

Determine the null and alternative hypotheses.

Find the test statistic for this hypothesis test. ​(Round to two decimal places as​ needed.)

Determine the​ P-value for this hypothesis test. ​(Round to three decimal places as​ needed.)

2, A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1246 males​ surveyed, 176 responded that they had at least one tattoo. Of the 1015 females​ surveyed, 144 responded that they had at least one tattoo. Construct a 99​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.

Let p1 represent the proportion of males with tattoos and p2 represent the proportion of females with tattoos. Find the 99​% confidence interval for p1−p2.

The lower bound is

The upper bound is

​(Round to three decimal places as​ needed.)

In​ 2003, an organization surveyed 1,500 adult Americans and asked about a certain​ war, "Do you believe the United States made the right or wrong decision to use military​ force?" Of the 1,500 adult Americans​ surveyed, 1,090 stated the United States made the right decision. In​ 2008, the organization asked the same question of 1,500 adult Americans and found that 575 believed the United States made the right decision. Construct and interpret a​ 90% confidence interval for the difference between the two population​ proportions, p2003−p2008.

The lower bound of a​ 90% confidence interval is .

​(Round to three decimal places as​ needed.)

Answer 1