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Question

TABLE 8-6

After an extensive advertising campaign, the manager of a company wants to estimate the proportion of potential customers that recognize a new product. She samples 120 potential consumers and finds that 54 recognize this product. She uses this sample information to obtain a 95% confidence interval that goes from 0.36 to 0.54.

109) True or False: Referring to Table 8-6, the parameter of interest to the manager is the proportion of potential customers in this sample that recognize the new product.

110) True or False: Referring to Table 8-6, the parameter of interest is 54/120 = 0.45.

111) True or False: Referring to Table 8-6, this interval requires the use of the *t* distribution to obtain the confidence coefficient.

112) True or False: Referring to Table 8-6, this interval requires the assumption that the distribution of the number of people recognizing the product has a normal distribution.

113) True or False: Referring to Table 8-6, 95% of the time, the proportion of people that recognize the product will fall between 0.36 and 0.54.

114) True or False: Referring to Table 8-6, 95% of the time, the sample proportion of people that recognize the product will fall between 0.36 and 0.54.

115) True or False: Referring to Table 8-6, 95% of the people will recognize the product between 36% and 54% of the time.

116) True or False: Referring to Table 8-6, it is possible that the true proportion of people that recognize the product is between 0.36 and 0.54.

117) True or False: Referring to Table 8-6, it is possible that the true proportion of people that recognize the product is not between 0.36 and 0.54.

118) The head of a computer science department is interested in estimating the proportion of students entering the department who will choose the new computer engineering option. Suppose there is no information about the proportion of students who might choose the option. What size sample should the department head take if she wants to be 95% confident that the estimate is within 0.10 of the true proportion?

119) The head of a computer science department is interested in estimating the proportion of students entering the department who will choose the new computer engineering option. A preliminary sample indicates that the proportion will be around 0.25. Therefore, what size sample should the department he