In order to conduct a hypothesis test for the population proportion, you sample 450 observations that result in 207 successes.(You may find it useful to reference the appropriate table:z tableort table)

H₀:p 0.52;H_A:p< 0.52.

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.)

a-2.Find thep-value.

multiple choice 1

• 0.05p-value < 0.10
• p-value0.10
• p-value < 0.01
• 0.01p-value < 0.025
• 0.025p-value < 0.05

a-3.At the 0.01 significance level, What is the conclusion?

multiple choice 2

• 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.

a-4.Interpret the results at

=0.01

multiple choice 3

We conclude that the population mean is less than 0.52.

We cannot conclude that the population mean is less than 0.52.

We conclude that the population proportion is less than 0.52.

We cannot conclude that the population proportion is less than 0.52.

H₀:p= 0.52;H_A:p 0.52.

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

• 0.05p-value < 0.10
• p-value0.10
• p-value < 0.01
• 0.01p-value < 0.025
• 0.025p-value < 0.05

b-3.At the 0.01 significance level, What is the conclusion?

multiple choice 5

• 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

=0.01.

multiple choice 6

• We conclude that the population mean differs from 0.52.
• We cannot conclude that the population mean differs from 0.52.
• We conclude the population proportion differs from 0.52.
• We cannot conclude that the population proportion differs from 0.52.