I think my neighborhood watchesnews-based television shows more often than the n

Question

I think my neighborhood watchesnews-based television shows more often than the national mean. I will use the alternative hypothesis becauseI am predicting the experiment to work and that a predictedrelationship does exist between the national mean and myneighborhood.

Based on my hypothesis I would youuse a one-tailed test because we are predicting the direction thescores will go.

If I could have sampled many more peoplein my neighborhood, it would be 20. The number 20 would be myideal N.

·         Myideal N=20. My alpha level was .05.

Choose a one or two-tailedtest as appropriate, and look up the critical value of t. State thevalue. With an alpha level of 0.5 my tcrit would2.086. Calculating my tobt I used 8-24/0.63 which comes out to-25.39. (I am not sure that this is correctly calculated).

·        What would youconclude if your obtained t was larger than your critical t value,and what you conclude if your obtained t was smaller than yourcriticalvalue?           

Because tobt (-25.39) is larger thantcrit (-2.086) , and "has the same sign, the (sample mean) isunlikely to be representing a (population) described (nullhypothesis). Therefore, reject (null hypothesis), accept(alternative hypothesis), and the results aresignificant."

Explanation / Answer

There is no red, so I'm assuming your answers are inbold. H0: People watch less or the same amount of newsbased TV compared to the national mean H1: People watch more news based TV than thenational mean So yes, it is a 1 sided t-test. You would Reject H0 if your test statistic isgreater than your critical value. I think you got the wrong critical value sincet0.05 (with 19 degrees of freedom) = 1.729 Your critical value is t0.025 (with 20 degrees offreedom) = 2.086. This is the critial value for a 2 sided test(with the wrong degress of freedom). Degrees of freedom with 1 independent variable = N - 1 = 20 -1 = 19 Your test statistic is smaller than your critical value,therefore we fail to reject the null hypothesis.

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