Tax increase ~A city councilor asks your advice on how many householders should be polled in order to gauge the support for a tax increase to build more schools.1.The councilor wants to assess the support with a margin of error no more than 0.05 with 90% confidence. What sample size would you recommend if the councilor has no information about the proportion of householders who would support a tax increase?Round your

zvalue to three decimal places when calculating your answer.Give your answer as an integer.=

n=

2.Suppose you conduct the survey and construct a 99% confidence interval for the true proportion of householders who are in favor of the tax increase to be (0.539, 0.621). Determine whether the statements below are correct or incorrect interpretations of the confidence interval.

A.Correct

B.Incorrect

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Correct

Incorrect

1.We can be 99% confident that the true proportion of householders who are in favor of the tax increase is contained in the interval (0.539, 0.621).

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Correct

Incorrect

2.If we collected another random sample of the same size, there is a 99% chance the new sample proportion will be between 0.539 and 0.621.

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Correct

Incorrect

3.There is a 99% chance that 58% of householders are in favor of the tax increase.

?

Correct

Incorrect

4.99% of the time, the true proportion of householders that are in favor of the tax increase is between 0.539 and 0.621.

?

Correct

Incorrect

5.We can expect that 99% of the intervals we construct using this method will contain the true proportion of householders who are in favor of the tax increase.