An economist claims that the proportion of people who plan to purchase a fully electric vehicle as their next car is greater than 65%.
To test this claim, a random sample of 750 people are asked if they plan to purchase a fully electric vehicle as their next car Of these 750 people, 513 indicate that they do plan to purchase an electric vehicle.
The following is the setup for this hypothesis test:
H0:p=0.65
Ha:p>0.65
Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.
The following table can be utilized which provides areas under the Standard Normal Curve:
z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
1.5 0.933 0.934 0.936 0.937 0.938 0.939 0.941 0.942 0.943 0.944
1.6 0.945 0.946 0.947 0.948 0.949 0.951 0.952 0.953 0.954 0.954
1.7 0.955 0.956 0.957 0.958 0.959 0.960 0.961 0.962 0.962 0.963
1.8 0.964 0.965 0.966 0.966 0.967 0.968 0.969 0.969 0.970 0.971
1.9 0.971 0.972 0.973 0.973 0.974 0.974 0.975 0.976 0.976 0.977



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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