In the same survey used in 9.41, 88% of the sampled students were right-handed.

a. The proportion of all people who are right-handed is said to be 0.88. Tell the value of standardized sample proportion z, if we want to test whether the proportion of all students who are righthanded could be 0.88.

b. If we sketch a normal curve for the distribution of sample proportion (centered at 0.88), what portion should be shaded to indicate the area represented by the P-value for testing against the alternative that population proportion is less than 0.88? [Please see the three graphs on p. 000 for examples of P-value as a shaded area.]

c. What portion of the standard normal (z) curve should be shaded to indicate the area represented by the P-value for testing against the alternative that the population proportion is less than 0.88? What does the P-value equal in this case?

d. What portion of the normal curve for the distribution of sample proportion (again, centered at 0.88) should be shaded to indicate the area represented by the P-value for testing against the (two-sided) alternative that population proportion does not equal 0.88? What does the P-value equal in this case?

e. What portion of the normal curve for the distribution of standardized sample proportion z should be shaded to indicate the area represented by the P-value for testing against the (two-sided) alternative that population proportion does not equal 0.88?

f. Will the null hypothesis be rejected against either the one-sided or two-sided alternative? Explain.