Asked by Ilaria Catalani on May 20, 2024

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A law enforcement agent believes that at least 88% of the drivers stopped for speeding on Saturday nights are under the influence of alcohol.A sample of 66 drivers who were stopped for speeding on a Saturday night was taken.Eighty percent of the drivers in the sample were under the influence of alcohol.
a.
State the null and alternative hypotheses.
b.
Compute the test statistic.
c.
Using the p-value approach, test the hypotheses at the .05 level of significance.

Null Hypothesis

A statement used in hypothesis testing that indicates no effect or no difference, and it's the assumption that the experiment aims to test against.

Test Statistic

A numerical value calculated from a sample data set. It is used in statistical hypothesis testing to determine how extreme the observed data is compared to the null hypothesis.

  • Discover the process of setting up null and alternative hypotheses for assorted statistical measures.
  • Facilitate the computation of test statistics for a variety of data forms and study structures.
  • Cultivate insight into the significance of p-value and its calculating process.
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Verified Answer

CP
Carlotta PurdyMay 22, 2024
Final Answer :

a.
H0: p ​ a. H<sub>0</sub>: p   .88 H<sub>a</sub>: p < .88 b. z = -2 c. p-value = .0228 < .05; reject H<sub>0</sub> .88
Ha: p < .88
b.
z = -2
c.
p-value = .0228 < .05; reject H0