Part 1: Practice with the Big Ideas

Suppose it is claimed that 40% of adults support the practice of changing clocks twice a year in observance of Daylight Saving Time. Believing this claimed value is too high, a sociologist surveys a random sample of 310 adults and finds that 113 of these adults say they support the practice of changing clocks twice a year in observance of Daylight Saving Time.

1. Remember that with hypothesis testing, we always begin with a set of two competing hypotheses. We have a hypothesis that puts forward the claim that is being tested about the population. We call this hypothesis the __________________ hypothesis. We then have a hypothesis that illustrates what we think is really going on in the population. We call this hypothesis the ______________________ hypothesis.

Using appropriate symbols, our hypotheses in this example are as follows:

H_o: p = 0.40

H_a: p

2. Look carefully at the hypotheses presented above.What does the symbol "p" stand for in these hypotheses?

3. Notice that in the second hypothesis presented above, the "" sign or a "" sign?

4. Given that 113 out of a random sample of 310 adults indicated that they support the practice of changing clocks twice a year in observance of Daylight Saving Time, what will the sample proportion (or ) be? Please compute this value below and round your answer to three decimal places.

5. To be able to conduct a hypothesis test, we will now need to compute a test statistic (using the following formula). Please attempt to compute this test statistic below, showing as much work as you can. To be as precise as you can be, round the denominator to three decimal places before dividing the value from the numerator by the denominator.

- P Z = p(1 - p n