In EXCEL Use the data set provided in the main page of the experience for this a
ID: 3225419 • Letter: I
Question
In EXCEL Use the data set provided in the main page of the experience for this application. 1. Complete the full hypothesis testing procedure to determine if students at TCC watch less television than Americans in general. Use the fact that Americans watch 4.8 hours of television per day with a standard deviation of 1 hour per day. 22 students were asked. Total hours watched by 22 students were 99.25 Include the following in your report: a) Hypotheses using correct notation (2 points) • Null Hypothesis (Ho): µ 4.8 Alternative Hypothesis (Ha): µ < 4.8 b) type of test (left, right, two-tailed) (1 point), distribution used (normal or t) (1 point), reasons why (2 points) • This is left-tailed test. Here population standard deviation is given so this is normal distribution. c) level of significance, choose one based on how serious the study is (2 points) Level of significance is the probability of type I error. Type I error occur when by mistake we conclude that students at TCC watch less television than Americans general but where as it is not less. We choose the level of significance as 5% based on the seriousness of the probability of type I error. d) Sample statistics (sample size and sample mean or sample proportion) (2 points) e) P-Value (2 point) (Round answer to four decimal places) f) Interpretation of P-value (Use Definition of P-Value but be specific to this context) (1 point) g) Drawing or graph of P-value. (2 points) h) Decision (2 point) i) Conclusion in complete sentences. (3 points)
Explanation / Answer
a) Hypotheses using correct notation (2 points) • Null Hypothesis (Ho): µ 4.8 Alternative Hypothesis (Ha): µ < 4.8
b) type of test (left, right, two-tailed) (1 point), distribution used (normal or t) (1 point), reasons why (2 points) • This is left-tailed test. Here population standard deviation is known but the sample size is less than 30 so this is t distribution.
c) level of significance, choose one based on how serious the study is (2 points) Level of significance is the probability of type I error. Type I error occur when by mistake we conclude that students at TCC watch less television than Americans general but where as it is not less. We choose the level of significance as 5% based on the seriousness of the probability of type I error.
d) Sample statistics (sample size and sample mean or sample proportion) (2 points)
sample size = 22
sample mean = 99.25/22 = 4.511
e) P-Value (2 point) (Round answer to four decimal places)
Standard error = SD/ sqrt(sample size) = 1/sqrt(22) = 0.2132
t = (4.511 - 4.8)/0.2132 = -1.355
Degree of freedom = size - 1 = 22 - 1 = 21
P-value for t = -1.355, at df = 21 is 0.0949
f) Interpretation of P-value (Use Definition of P-Value but be specific to this context) (1 point)
As, the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.
g) Drawing or graph of P-value. (2 points)
h) Decision (2 point)
We accept the null hypothesis.
i) Conclusion in complete sentences. (3 points)
There is no stastical evidence that students at TCC watch less television than Americans in general.