Solution:
This a two- tailed test.
The null hypothesis is,
Ho: p = 0.37
The alternative hypothesis is,
Ha: p 0.37
Point estimate = sample proportion = = x / n = 0.427
Test statistic is z.
z = ( - ) / *(1-) / n
= ( 0.427 - 0.37) / (0.37*0.63) / 185
= 1.606
P-value = 2*P(Z > z)
= 2 * ( 1 - P(Z < 1.606 ))
= 2 * 0.0541
= 0.108
The p-value is p = 0.108, and since p = 0.108 > 0.05, it is concluded that the null hypothesis is fail to rejected.
N0.
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