Facebook recently estimated that 5.1% to 11.2% of its accounts were fake. Assumi

Question

Facebook recently estimated that 5.1% to 11.2% of its accounts were fake. Assuming this is a 95% confidence interval, what does it say about a test of the null hypothesis: 5% of Facebook Accounts are fake tested at 95% confidence?

a) Reject the null hypothesis for this data at the given level of significance

b) Fail to reject the null hypothesis for this data at the given level of significance

c) This problem cannot be answered because the two levels of confidence are identical

d) This problem cannot be answered because there is no relationship between confidence intervals and hypothesis tests.

Explanation / Answer

a) Reject the null hypothesis for this data at the given level of significance.

Because 95% confidence interval (5.1% to 11.2%) contains proportion greater than 5%.So, we are 95% confident that fake accounts are more than 5%

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