Question

In a two-tailed hypothesis test about the population mean ?: H0: ? = 50, H1: ? ? 50 a. (1 mark) Explain what is a Type 2 error for the above test. b. (3 marks) Explain what are the significance level and the p-value. Which of the two can change with a different data sample? c. (2 marks) A research team has chosen a significance level of 1% and from a data sample they obtained a p-value of 0.0207. What should their decision be regarding the hypothesis test? Explain your reasoning. d. (2 marks) Another team of researchers have worked out the critical values C1 = 25.6 and C2 = 74.7 corresponding to a 5% significance level, and from the data sample they obtained a test statistic of 81.6. What should their decision be regarding the hypothesis test? Explain your reasoning. e. (3 marks) If both teams in (c) and (d) are using the same data sample, assuming the distribution of the sample mean is a Normal distribution, calculate the area underneath the distribution curve enclosed by the test statistic 81.6

          In a two-tailed hypothesis test about the population mean ?:
H0: ? = 50, H1: ? ? 50
a. (1 mark) Explain what is a Type 2 error for the above test.
b. (3 marks) Explain what are the significance level and the p-value. Which of the two can change with a different data sample?
c. (2 marks) A research team has chosen a significance level of 1% and from a data sample they obtained a p-value of 0.0207. What should their decision be regarding the hypothesis test? Explain your reasoning.
d. (2 marks) Another team of researchers have worked out the critical values C1 = 25.6 and C2 = 74.7 corresponding to a 5% significance level, and from the data sample they obtained a test statistic of 81.6. What should their decision be regarding the hypothesis test? Explain your reasoning.
e. (3 marks) If both teams in (c) and (d) are using the same data sample, assuming the distribution of the sample mean is a Normal distribution, calculate the area underneath the distribution curve enclosed by the test statistic 81.6

In a two-tailed hypothesis test about the population mean ?:
H0: ? = 50, H1: ? ? 50
a. (1 mark) Explain what is a Type 2 error for the above test.
b. (3 marks) Explain what are the significance level and the p-value. Which of the two can change with a different data sample?
c. (2 marks) A research team has chosen a significance level of 1% and from a data sample they obtained a p-value of 0.0207. What should their decision be regarding the hypothesis test? Explain your reasoning.
d. (2 marks) Another team of researchers have worked out the critical values C1 = 25.6 and C2 = 74.7 corresponding to a 5% significance level, and from the data sample they obtained a test statistic of 81.6. What should their decision be regarding the hypothesis test? Explain your reasoning.
e. (3 marks) If both teams in (c) and (d) are using the same data sample, assuming the distribution of the sample mean is a Normal distribution, calculate the area underneath the distribution curve enclosed by the test statistic 81.6

Added by Mike C.

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