You 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 0.4. A random sample of 721 men over the age of 50 found that 209 have their prostate regularly examined. Do the sample data provide convincing evidence to support the claim? Test the relevant hypotheses using a 10% level of significance. Give answer to at least 4 decimal places.

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Q: It is believed that nearsightedness affects about 8% of all children. In a random sample of 194…

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A: From the provided information, Sample size (n) = 11 The p value of test statistic is 0.144.

Q: It is believed that nearsightedness affects about 8% of all children. In a random sample of 194…

A: It is one prop Z test

Q: It is believed that nearsightedness affects about 8% of all children. In a random sample of 194…

A: Given that ,Sample size n=194                   X=21Po=8%=0.08P∧=xn=21194=0.10825a)  Ho : p=0.08…

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.