In order to conduct a hypothesis test for the population proportion, you sample 320 observations that result in 128 successes. (You may find it useful to reference the appropriate table: z table or t table)

H₀: p 0.45; H_A: p < 0.45.

a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.)

a-2. Find the p-value.

multiple choice 1

• p-value < 0.01
• 0.01 p-value < 0.025
• 0.025 p-value < 0.05
• 0.05 p-value < 0.10
• p-value 0.10

a-3. At the 5% significance level, What is the conclusion?

multiple choice 2

• Reject H₀ since the p-value is greater than significance level.
• Reject H₀ since the p-value is smaller than significance level.
• Do not reject H₀ since the p-value is greater than significance level.
• Do not reject H₀ since the p-value is smaller than significance level.

a-4. Interpret the results at = 0.05. multiple choice 3

• We conclude that the population mean is less than 0.45.
• We cannot conclude that the population mean is less than 0.45.
• We conclude that the population proportion is less than 0.45.
• We cannot conclude that the population proportion is less than 0.45.

H₀: p = 0.45; H_A: p 0.45.

b-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.)

b-2. Find the p-value.

multiple choice 4

• p-value < 0.01
• 0.01 p-value < 0.025
• 0.025 p-value < 0.05
• 0.05 p-value < 0.10
• p-value 0.10

b-3. At the 5% significance level, What is the conclusion?

multiple choice 5

• Reject H₀ since the p-value is greater than significance level.
• Reject H₀ since the p-value is smaller than significance level.
• Do not reject H₀ since the p-value is greater than significance level.
• Do not reject H₀ since the p-value is smaller than significance level.

b-4. Interpret the results at = 0.05. multiple choice 6

• We conclude that the population mean differs from 0.45.
• We cannot conclude that the population mean differs from 0.45.
• We conclude that the population proportion differs from 0.45.
• We cannot conclude that the population proportion differs from 0.45.

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