Question

Asked Jun 14, 2019

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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 |

Step 1

The provided information are:

Sample size (*n*) = 750

Hypothesised proportion (*p*_{o})=0.65

From the provided setup it is known that the test is right sided.

Step 2

The test statistic can be calc...

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