Question

A study reports that 36% of companies in Country A have three or more female board directors. Suppose you select a random sample of 100 respondents. Complete parts​ (a) through​ (c) below.

The probability is 99.7% that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population​ percentage?

The probability is 99.7% that the sample percentage will be contained above ____and below ____​(Round to one decimal place as​ needed.)

Answer 1

Sample proportion (\hat{p}) = 0.36

Sample size (n) = 100

Confidence interval(in %) = 99.7%

z @ 99.7% = 3.0

Since we know that

Required confidence interval = (0.36-0.144, 0.36+0.144)

Required confidence interval = (21.6, 50.4)

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