Question 986138
Ho:p=0.46
Ha:p not = 0.46
alpha=0.05
test statistic is a 1 sample proportion.
Critical value is |z|>1.96
z=(phat-p)/sqrt { p*(1-p)/n}; = 0.02833/0.0643
=0.36
Fail to reject the null hypothesis, so insufficient evidence to say that there is a difference from that national norm.
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With 60, and p hat =0.6, z=2.18, and we would reject the null hypothesis and say there is a difference at the 3% level of significance (p=0.0295).  The conclusions are not the same.