Question

In order to conduct a hypothesis test for the population proportion, you sample 400 observations that result in 212 successes. (You may find it useful to reference the appropriate table: z table or t table) H0: p ≥ 0.54; HA: p < 0.54. 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 the p-value. multiple choice 1 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 p-value < 0.01 0.01 ≤ p-value < 0.025 a-3. At the 0.01 significance level, What is the conclusion? multiple choice 2 Do not reject H0 since the p-value is smaller than significance level. Do not reject H0 since the p-value is greater than significance level. Reject H0 since the p-value is smaller than significance level. Reject H0 since the p-value is greater than significance level. a-4. Interpret the results at α = 0.01 multiple choice 3 We cannot conclude that the population mean is less than 0.54. We conclude that the population mean is less than 0.54. We cannot conclude that the population proportion is less than 0.54. We conclude that the population proportion is less than 0.54. H0: p = 0.54; HA: p ≠ 0.54. 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 the p-value. multiple choice 4 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 p-value < 0.01 b-3. At the 0.01 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 α = 0.01. multiple choice 6 We conclude that the population mean differs from 0.54. We cannot conclude that the population mean differs from 0.54. We conclude the population proportion differs from 0.54. We cannot conclude that the population proportion differs from 0.54.

          In order to conduct a hypothesis test for the population
proportion, you sample 400 observations that result in 212
successes. (You may find it useful to reference the
appropriate table: z
table or t table)
H0: p ≥ 0.54; HA: p < 0.54.
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 the p-value.
multiple choice 1
0.025 ≤ p-value < 0.05
0.05 ≤ p-value < 0.10
p-value ≥ 0.10
p-value < 0.01
0.01 ≤ p-value < 0.025
a-3. At the 0.01 significance level, What
is the conclusion?
multiple choice 2
Do not reject H0 since
the p-value is smaller than significance level.
Do not reject H0 since
the p-value is greater than significance level.
Reject H0 since
the p-value is smaller than significance level.
Reject H0 since
the p-value is greater than significance level.
a-4. Interpret the results
at α = 0.01
multiple choice 3
We cannot conclude that the population mean is less than
0.54.
We conclude that the population mean is less than 0.54.
We cannot conclude that the population proportion is less than
0.54.
We conclude that the population proportion is less than
0.54.
H0: p = 0.54; HA: p ≠ 0.54.
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 the p-value.
multiple choice 4
0.01 ≤ p-value < 0.025
0.025 ≤ p-value < 0.05
0.05 ≤ p-value < 0.10
p-value ≥ 0.10
p-value < 0.01
b-3. At the 0.01 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 α = 0.01.
multiple choice 6
We conclude that the population mean differs from 0.54.
We cannot conclude that the population mean differs from
0.54.
We conclude the population proportion differs from 0.54.
We cannot conclude that the population proportion differs from
0.54.

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