Watching tv: in 2012, the general social survey asked a sample of 1310 people how much time they spend\t watching tv each day. The mean number of hours was 2.8 with a standard deviation of 2.6. A sociologist claims that people watch a mean of 3 hours of TV per day. Do the data provide sufficient evidence to conclude that the mean hours of TV watched per day is less the claim? Use the a=0.5 level of significance and the P-value method with the TI-84 Plus calculator. (a) State the appropriate null and alternate hypotheses.

H0: Mu = 3
H1: Mu < 3

This hypothesis test is a test.

(b) Compute the P-value. Round the answer to at least four decimal places

P-value =

a) Null hypothesis:  

Alternative hypothesis:  

This hypothesis test is a left tailed test.

b)  

The p value for this case can be calculated with this probability:  

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value and for the alternative we select . Then press Calculate.

And we got the same results.  

Step-by-step explanation:

Information given

represent the sample mean

represent the population standard deviation  

sample size  

represent the value to test

represent the significance level for the hypothesis test.  

t would represent the statistic

represent the p value for the test

Part a) System of hypothesis

We want to test if the true mean is less than 3, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

This hypothesis test is a left tailed test.

Part b

The statistic is given by:

(1)  

Replacing the info given we got:

The p value for this case can be calculated with this probability:  

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value and for the alternative we select . Then press Calculate.

And we got the same results.  

555.99.

step-by-step explanation:

hope this