Current data provided by the 2010 census indicates that the prevalence of breast cancer in the US is still on the rise, while the mortality rates have slightly declined over time. A researcher at a local health department conducts an observational study to determine the prevalence in the particular region. The researcher gathers 2,168 participants and confirms 246 cases of breast cancer in her sample.A) Assuming the census data indicates a national prevalence of 23.5%, conduct a formal statistical test to determine if the prevalence calculated in the researcher’s study differs significantly from the national prevalence level at the alpha value of 0.05.B) Interpret your results from the hypothesis test conducted in part A).

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Asked Nov 23, 2019
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Current data provided by the 2010 census indicates that the prevalence of breast cancer in the US is still on the rise, while the mortality rates have slightly declined over time. A researcher at a local health department conducts an observational study to determine the prevalence in the particular region. The researcher gathers 2,168 participants and confirms 246 cases of breast cancer in her sample.

A) Assuming the census data indicates a national prevalence of 23.5%, conduct a formal statistical test to determine if the prevalence calculated in the researcher’s study differs significantly from the national prevalence level at the alpha value of 0.05.

B) Interpret your results from the hypothesis test conducted in part A).

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Expert Answer

Step 1

A)

Given Data

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246 х n 2168, x 246, p 0.1134 2168 п p 0.235

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Step 2

Formulation of Hypotheses:

The null hypothesis is:- prevalence calculated in the researcher’s study does not differs from the national prevalence level 

H0­: p = 0.235

The alternative hypothesis is:-  prevalence calculated ...

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calculation of the test statistic 0.1135 0.235 -13.34 Z 0.235(1 - 0.235) 2168 Р(1 - р) п Calculation of z-critical -1.96 (From Excel = NORM.S.INV(0.025)) Zo.025 z (-13.34) z-critical (-1.96) So, we reject null hypothesis

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Hypothesis Testing

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