Question

Perform these hypothesis tests. Show the formulas for the test statistics and what numbers go into them. Clearly show your decision, write it in words, and be sure to write out your null and alternative hypotheses.

Proportions Pie

One student for the “Bob and Tim” exercise surveyed 135 students: 105 of them associated the name Tim with the face on the left. Test whether a majority of students in this sample identified the name Tim with the face on the left.

Answer 1

as test statistic is signficantly higher then critical value we reject null hypothesis and conclude that a majority of students in this sample identified the name Tim with the face on the left

null Hypothesis alternate Hypothesis: Ho: 0.500 Ha 0.500 for 0.05 level with right tailed test , critical value of Decision rule 1.645 reject Ho if test statisticz > 1.645 105 135.0 sample success sample size std error -Se (p*(1-p)/n) 0.0430 sample proportion test stat Z p value p 0.7778 ( p-p)/Se- 6.46 0.0000