Answer:
Null Hypothesis is accepted
Conclusion : proportion of people with internet access having made online purchase = 58%
Explanation:
Let proportion of people with internet access having made online purchase = x
Null Hypothesis [H0] : x = 58% = 0.58
Alternate Hypothesis [H1] : x ≠ 58% ≠ 0.58
Observed x proportion (mean) : x' = 215 / 400 = 0.5375
z statistic = [ x' - x ] / √ [ { x ( 1-x ) } / n ]
( 0.5375 - 0.58 ) / √ [ 0.58 (0.42) / 400 ]
= -0.0425 / √ 0.000609
= -0.0425 / 0.02467
z = - 1.72
Since calculated value of z, 1.72 < tabulated value of z at 0.05 significance level, 1.96
So, we accept the null hypothesis & conclude that x = 58%