Question

1. a. In the 2016 Presidential Election, a campaign manager claimed that 60% of registered voters in the metropolitan area preferred his candidate. A pollster randomly sampled 1000 registered voters to test the campaign manager’s claim. The pollster finds that 58 percent of the sample of registered voters he polled indicated that they preferred the campaign manager’s candidate. Answer the questions below using the given information.

null hypothesis:

the alternative hypothesis:

explain what test will be used and why:

b. A printer that bills client accounts monthly is concerned that the average monthly bill exceeds $300 per account. A random sample of twelve accounts is selected, resulting in a sample mean of $320 and a standard deviation of $22. Answer the questions below using the given information.

null hypothesis:

the alternative hypothesis:

explain what test will be used and why:

Answer 1

1)

Null Hypothesis: P= 0.6

Alternate hypothesis: P is not equal to 0.6

We would use a two-sided alternative hypothesis test (Two-Tailed Test) because the alternative hypothesis contains not equal to, and indicates that there is a critical area to both the left and right of the positive and negative critical values.

2)

We would use a one-sided hypothesis test (Right Tail test) because the alternative hypothesis contains greater than, and indicates that the rejection region is to the right of the statistic.

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