A PTA group wishes to determine whether a barrage of letters sent to the local station has reduced the amount of violence broadcast on television between the hours of 4 P.M. and 9 P.M. The results of a survey of viewers are given here.
ResponseNumber of Respondents
More Violence4
Less Violence11
No Change6
?
Carry out a sign test to determine whether or not the letters were effective in reducing the amount of violence during the 4 - 9 P.M. period. Use a .05 level of significance. Be sure to state the null and alternative hypotheses.
What will be an ideal response?
?
| H0: p? .5 (where, p is the preference for less violence) |
| Ha: p> .5 |
| p-value = .0593; do not reject the null hypothesis; cannot conclude that the letters were effective. |
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