A hospital expert claims that more than 51% of all nurses have had additional tr

Question

A hospital expert claims that more than 51% of all nurses have had additional training. State the Ho and Ha in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. A hospital expert claims that more than 51% of all nurses have had additional training. State the Ho and Ha in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning.

Explanation / Answer

Solution

Let X = Number of nurses who had additional training. Then, X ~ B(n, p), where n = sample size, and p = probability a nurse had additional training, which is also the proportion of nurses who had additional training in the population.

Null hypothesis: H0: percentage of nurses who had additional training is 51%. i.e., p = 0.51

Vs Alternative: HA : More than 51% of all nurses have had additional training. i.e., p > 0.51.

Since the alternative is ‘greater than’ type, the test is one-sided, right tailed.

[Additional inputs: In this case, H0 is rejected at % level of significance if calculated value of the test statistics is greater than the upper % point of the distribution of the test statistics.]

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