Math  /  Data & Statistics

QuestionYou are conducting a study to see if the proportion of men over the age of 50 who regularly have their prostate examined is significantly less than 0.38 . A random sample of 778 men over the age of 50 found that 197 have their prostate regularly examined. Do the sample data provide convincing evidence to support the claim? Test the relevant hypotheses using a 10%10 \% level of significance.
What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) \square Ha\mathrm{H}_{\mathrm{a}} : Select an answer 0 ? \square

Studdy Solution
Define the null hypothesis (H0 H_0 ) and the alternative hypothesis (Ha H_a ).
- Null hypothesis (H0 H_0 ): The proportion of men over the age of 50 who regularly have their prostate examined is equal to 0.38. $ H_0: p = 0.38 \]
- Alternative hypothesis (Ha H_a ): The proportion of men over the age of 50 who regularly have their prostate examined is less than 0.38. $ H_a: p < 0.38 \]
The correct hypotheses are:
- H0:p=0.38 H_0: p = 0.38 - Ha:p<0.38 H_a: p < 0.38

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