Question
In order to conduct a hypothesis test for the population proportion, you sample 500 observations that result in 200 successes. (You may find it useful
In order to conduct a hypothesis test for the population proportion, you sample 500 observations that result in 200 successes.(You may find it useful to reference the appropriate table:z tableort table)
H0:p 0.41;HA:p< 0.41.
a-1.Calculate the value of the test statistic.(Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
H0:p= 0.41;HA:p 0.41.
b-1.Calculate the value of the test statistic.(Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
b-2.Find thep-value.
multiple choice 4
- 0.01p-value < 0.025
- 0.025p-value < 0.05
- 0.05p-value < 0.10
- p-value0.10
- p-value < 0.01
b-3.At the 0.05 significance level, What is the conclusion?
multiple choice
- RejectH0since thep-value is greater than significance level.
- RejectH0since thep-value is smaller than significance level.
- Do not rejectH0since thep-value is greater than significance level.
- Do not rejectH0since thep-value is smaller than significance level.
b-4.Interpret the results at
=0.05.
multiple choice
- We conclude that the population means differs from 0.41.
- We cannot conclude that the population means differs from 0.41.
- We conclude the population proportion differs from 0.41.
- We cannot conclude that the population proportion differs from 0.41.
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