Rafael Nadal, a profossional tennis player believes he can make 70% of his first serves that are at least 110 mph. His friends believe the percentage should be smaller than 70% They challenged Rala to do 400 first-serves. Rafa successfully served 255 tines The null hypothesis is that he can serve 70% of his first serves a) Find the observed percentage and the standard error for percentage. Round the standard error to the nearest tenth of a porcent(for example 6.3%6). Hint The SD for the box model is b) Compute the z-stalistic. Round your answer to two decimal places c) Find te p value Round your answer to the nearest tenth of a percentifor example 6.3%) d) if the significance level is set at 5% do you reject the nulf hypothesis? What about 1%?

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Rafael Nadal, a profossional tennis player believes he can make 70% of his first serves that are at least 110 mph. His friends believe the percentage should be smaller than 70% They challenged Rala
to do 400 first-serves. Rafa successfully served 255 tines
The null hypothesis is that he can serve 70% of his first serves
a) Find the observed percentage and the standard error for percentage. Round the standard error to the nearest tenth of a porcent(for example 6.3%6). Hint The SD for the box model is
b) Compute the z-stalistic. Round your answer to two decimal places
c) Find te p value Round your answer to the nearest tenth of a percentifor example 6.3%)
d) if the significance level is set at 5% do you reject the nulf hypothesis? What about 1%?

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