Consider the following hypotheses: H?: p ? 0.44 H?: p < 0.44 Which of the following sample information enables us to reject the null hypothesis at ? = 0.01 and at ? = 0.05? (You may find it useful to reference the appropriate table: z table or t table) (Round all intermediate calculations to at least 4 decimal places.) | | ? = 0.01 | ? = 0.05 | | :--- | :--- | :--- | | a. x = 31; n = 86 | | | | b. x = 114; n = 326 | | | | c. p? = 0.34; n = 65 | | | | d. p? = 0.34; n = 442 | | |
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The test statistic for a proportion is calculated as: Z = (p̂ - p) / sqrt[(p(1-p))/n] where p̂ is the sample proportion, p is the population proportion under the null hypothesis, and n is the sample size. Show more…
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