An independent knowledge, attitudes and practices survey on Hay fever was conducted in a large first-world country. The individual attitude scores were found to be normally distributed with the mean of 5 and a standard deviation of 1.3. For our current investigation of the 300 respondents, the mean score for attitude was found to be 5.6 with a standard deviation of 2.8 The researcher has asked you to use a 3% level of significance, to test whether the population mean score for attitude towards Hay Fever is significantly different from 5. To conduct this test, you are required to: (a) Explain the meaning of ‘3% level of significance’ to the researcher. (b) State whether this is a one-tailed test or a two-tailed test. Give reason for your answer. (c) State the null and the alternative hypotheses for this test. (d) Calculate the value of the test statistic for this test. (e) Calculate the p-value for this test. (f) Using the p-value approach, state the conclusion of this test. State your reasoning for arriving at your conclusion.(g) The researcher recommended that the level of significance be changed to 5%. How would this affect the conclusion arrived at in part (f)?
An independent knowledge, attitudes and practices survey on Hay fever was conducted in a large first-world country. The individual attitude scores were found to be
The researcher has asked you to use a 3% level of significance, to test whether the population mean score for attitude towards Hay Fever is significantly different from 5. To conduct this test, you are required to:
(a) Explain the meaning of ‘3% level of significance’ to the researcher.
(b) State whether this is a one-tailed test or a two-tailed test. Give reason for your answer.
(c) State the null and the alternative hypotheses for this test.
(d) Calculate the value of the test statistic for this test.
(e) Calculate the p-value for this test.
(f) Using the p-value approach, state the conclusion of this test. State your reasoning for arriving at your conclusion.
(g) The researcher recommended that the level of significance be changed to 5%. How would this affect the conclusion arrived at in part (f)?
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a)
The significance level is the probability of rejecting the null hypothesis when it is true. A significance level of 3% indicates 3% risk of concluding that a difference exists when there is no actual difference.
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