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. 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: Ho: p = 0.40 Ha: p < 0.40 Look carefully at the hypotheses presented above. What does the symbol “p” stand for in these hypotheses? Notice that in the second hypothesis presented above, the “<” sign is used. Why is a “<” sign being used as opposed to either a “>” sign or a “≠” sign? 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. 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. As part of the process of conducting a hypothesis test, we need to find what’s called a probability value, or a P-value for short. This P-value value tells us something about how likely it would be to observe a sample outcome as extreme or more extreme than what we observed, if the null hypothesis is really true. Based on the test statistic you calculated to answer Question 6, what should the P-value be equal to? Please use Table B to find this P-value. (Hint: Don’t forget that since a P-value is a probability, you will now need to take the percentile you get from Table B and divide it by 100 to convert it to a probability).

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

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 < 0.40

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

Notice that in the second hypothesis presented above, the “<” sign is used. Why is a “<” sign being used as opposed to either a “>” sign or a “≠” sign?

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.

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.

As part of the process of conducting a hypothesis test, we need to find what’s called a probability value, or a P-value for short. This P-value value tells us something about how likely it would be to observe a sample outcome as extreme or more extreme than what we observed, if the null hypothesis is really true. Based on the test statistic you calculated to answer Question 6, what should the P-value be equal to? Please use Table B to find this P-value. (Hint: Don’t forget that since a P-value is a probability, you will now need to take the percentile you get from Table B and divide it by 100 to convert it to a probability).

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