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;H_A: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;H_A: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.