In: Statistics and Probability
To combat antibiotic resistance, the Quality Improvement
Consortium recommends a throat swab to confirm strep throat...
To combat antibiotic resistance, the Quality Improvement
Consortium recommends a throat swab to confirm strep throat before
a physician prescribes antibiotics to children under age 5. In a
random sample of 98 children who received antibiotics for throat
infections, 35 did not have a throat swab. At α = 0.05, is this a
statistically significant reduction over last year’s national rate
of 40 percent?
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(a-1) |
Choose the correct null and alternative hypotheses. |
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H0: π = 0.40 vs.
H1: π ≠ 0.40 |
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H0: π ≤ 0.40 vs.
H1: π > 0.40 |
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H0: π ≥ 0.40 vs.
H1: π < 0.40 |
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(a-2) |
Calculate the critical value. (A negative value should
be indicated by a minus sign. Round your answer to 3 decimal
places.)
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(a-3) |
Calculate the test statistic. (A negative value should
be indicated by a minus sign. Round your answer to 2 decimal
places.)
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(a-4) |
Interpret the results. |
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Fail to reject H0 |
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Reject H0 |
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(b) |
Is it safe to assume normality of the sample proportion
p? |
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No, normality is not justified. |
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Yes, normality is justified. |
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