The University is trying to decide whether to implement a mandatory remedial math course for students...

The University is trying to decide whether to implement a mandatory remedial math course for students with low test scores upon admissions. Historically, students with low admissions test scores have failed their first math course 61% of the time. A random sample of students with low scores is selected and assigned to a remedial math course. These students are tracked and it is found that 102 out of 175 of them still fail their first regular math course.

If the hypotheses are

H₀: p = 0.61 H_A: p < 0.61

what is the p-value for this test?

WITH EXPLAINATION OF WORK

Expert Solution

We have for given example,
Population proportion value is =0.61
x=102

n=175

Estimate for sample proportion =0.5829

Z test statistic formula for proportion

=-0.74

P value =0.2297.....................by using Z table or Excel for left tailed test =NORMSDIST(-0.74)

orchestra answered 1 year ago

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