Answer :
the p-value for this hypothesis test for a proportion > p-value = 0.026 by the help of Standard normal curve .
what is standard normal curve ?
The horizontal axis is approached by the typical normal curve but is never touched as it extends indefinitely in both directions. The bell-shaped, z=0-centered standard normal curve has a radius of 1. Nearly the entire region between z=3 and z=3 is located under the typical normal curve.
Given that, x = 513 and n = 750
sample proportion (p) = 513/750 = 0.684
The null and alternative hypotheses are,
H0:p=0.65
Ha:p>0.65
Test statistic is,
Test statistic is Z = 1.95
p-value=P(Z > 1.95)= 1 - P(Z < 1.95) = 1 - 0.974 = 0.026
=> p-value = 0.026
the p-value for this hypothesis test for a proportion > p-value = 0.026 by the help of Standard normal curve .
To know more about standard normal curve visit :-
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