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Using a 5% level of significance. Use 4 decimal places, unless the p-value is re

ID: 3174522 • Letter: U

Question

Using a 5% level of significance. Use 4 decimal places, unless the p-value is really small (less than 0.0001), in which case use at least 2 significant figures.

Television Survey

In a recent survey, it was stated that people watch television on average 2.5 hours per day. Assume that s = 2. Using your class as the sample, conduct a hypothesis test to determine if the average for students at De Anza College is lower. DATA TO USE:   sample average = 1.96, n = 26

a. Ho:
b. Ha:
c. In words, CLEARLY state what your random variable X or P' represents
d. State the distribution to use for the test.  
e. Test Statistic: t or z =
f. p-value =
In 1 – 2 complete sentences, explain what the p-value means for this problem.
g. Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using COMPLETE SENTENCES.
(i) alpha
(ii) decision
(iii) reason for decision
(iiii) Conclusion
i. Construct a 95% Confidence Interval for the true mean or proportion.   Include a sketch of the graph of the situation. Label the point estimate and the lower and upper bounds of the Confidence Interval.
Confidence Interval: ( _______________ , ______________ )
j. Interpret the confidence interval.

Explanation / Answer

a. H0: mu=2.5

b. H1: mu not equal to 2.5

cHere X state number of hours people watch television

d. Here n<26 so we will use t distribution

e. t=xbar-mu/(sd/sqrt(n))=-1.38

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