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Write the null and alternative hypotheses. Identify which is the claim. The results of a recent...

Write the null and alternative hypotheses. Identify which is the claim. The results of a recent study examining the proportion of clinically misdiagnosed cancer cases indicate that 44% of all cancer cases are misdiagnosed.

Math   Statistics-And-Probability   
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## Q ) Write the null and alternative hypotheses. Identify which is the claim. The results of a recent study examining the proportion of clinically misdiagnosed cancer cases indicate that 44% of all cancer cases are misdiagnosed.

Answer :

it is one sample z test :

population proportion is = p = 44 % = 0.44

claim : Study examining the proportion of clinically misdiagnosed cancer cases indicate that 44% of all cancer cases are misdiagnosed.

Null and Alternative Hypothesis is :

Ho : p = 0.44 vs H1 : p  ≠ 0.44

( we know that null hypothesis is always equal that is no difference ,

our claim is non directional that is not specify lower than or upper than so by default we take non directional that is two tailed . that's why here alternative hypothesis is  ≠ 0.44 )

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