Chapter 11.2, Problem 59E

(a)

To determine

To explain: The average voter that turnout during the election.

Answer to Problem 59E

The Z test used when SD is known and the T test is used when SD is unknown.

Explanation of Solution

Given information:

A random sample of 38 cities was asked to report the percent of registered voters who actually voted in the most recent election.

Test for the average voter turnout during an election:

The investigator is especially interested to test for the average voter turnout during an election.

For this, the investigator selected a random sample of 38 cities and noted the percent of registered voters who actually voted in the most recent election.

The sample Z-test for the single mean is used when the population standard deviation is known.

The only one sample of T-test for the single mean is used in determining the population standard deviation is unknown.

(b)

To determine

To analyse: The Blondes likely to have boyfriend than the rest of single world.

Answer to Problem 59E

The difference between two proportions is given by two sample Z test.

Explanation of Solution

Given information:

The Independent random samples of 300 blondes and 300 non blondes were asked whether they have a boyfriend.

Test whether blondes are more likely to have a boyfriend that the rest of the single world:

The investigator is especially interested to test whether blondes are more likely to have a boyfriend than the rest of the single world.

For this, the investigator selected two independent random samples of 300 blondes and 300 non blondes and asked whether they have a boyfriend or not.

Hence, the difference between two proportions is given by two sample Z test.