Item8
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Item 8
In order to conduct a hypothesis test for the population proportion, you sample 320 observations that result in 128 successes.
H0: p ≥ 0.49; HA: p < 0.49.
a-1. Calculate the value of the test statistic.
Note: 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
0.05 p-value < 0.10
p-value 0.10
p-value < 0.01
0.01 p-value < 0.025
0.025 p-value < 0.05
a-3. At the 0.01 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 αα = 0.01
multiple choice 3
We conclude that the population mean is less than 0.49.
We cannot conclude that the population mean is less than 0.49.
We conclude that the population proportion is less than 0.49.
We cannot conclude that the population proportion is less than 0.49.
H0: p = 0.49; HA: p ≠0.49.
b-1. Calculate the value of the test statistic.
Note: 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
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
b-3. At the 0.01 significance level, What is the conclusion?
multiple choice 5
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.
b-4. Interpret the results at αα = 0.01.
multiple choice 6
We cannot conclude that the population mean differs from 0.49.
We conclude that the population mean differs from 0.49.
We cannot conclude the population proportion differs from 0.49.
We conclude that the population proportion differs from 0.49.