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.)
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.)
Solution:
a-1 The value of the test statistic is:
Where:
b-1. Calculate the value of the test statistic.
Answer: The value of the test statistic is:
Where:
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