Question

Simone read online that the failure rate in Arizona for the first attempt of the written driver’s test is 60%. Simone thinks the Arizona rate is less than 60%. To investigate, she selects an SRS of 50 Arizona drivers and finds that 27 failed their first written driving test. To determine if this provides convincing evidence that the failure rate for Arizona is less than 60%, 200 trials of a simulation are conducted. Simone’s hypotheses are: H0: p = 60% and Ha: p < 60%, where p = the true proportion of Arizona drivers who fail the first attempt of the written driver’s test. Based on the results of the simulation, the estimated P-value of this test is 0.035. Using ∝ = 0.05, what conclusion should Simone reach?

Answer 1

The answer is "Choice d".

Explanation:

Please find the complete question in the attached file.

Although Simone read today, a first written driver test rate of failure is 60 percent to Arizona.

Range of population = p = 0.60 . Simone assumes the Arizona average would be below 60%. She selects an SRS of 50, but she discovers 27 have failed their first published driver's test (sample size n= 50).

Now 200 simulated experiments were conducted to determine when that offers compelling proof which Arizona has a failure rate of less than 60%. The hypothesis of Simone is p = 60% and p < 60% where p = true share of Arizona pilots who fail the very first test of a written pilot.

The evaluated P-value of this experiment is 0.035 based on the results of the simulation. α = 0.01

Whereas if p-value < α = degree of significance, we reject the null hypothesis. p-value
`= 0.035 > 0.01`