A PTA group wishes to determine whether a barrage of letters sent to the local station has reduced the amount of violence broadcast between the hours of 4 P.M. and 9 P.M. The results of a survey of viewers are given here. 
Carry out a sign test to determine whether or not the letters were effective in reducing the amount of violence during the 4 to 9 p.m. period. Use a .05 level of significance. Be sure to state the null and alternative hypotheses.
Definitions:
Slope
In the context of linear regression, the magnitude of change in the dependent variable for each unit change in the independent variable.
Residual
The difference between an observed value and the estimated value provided by a model.
Actual Value Of Y
The observed or measured outcome in a statistical analysis or experiment, representing a specific data point on the Y-axis.
Estimated Value Of Y
A predicted value of the dependent variable in a regression analysis based on specific values of the independent variables.
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