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5. A study of the survival of small businesses chose a random sample from the telephone...

5. A study of the survival of small businesses chose a random sample from the telephone directory’s Yellow Pages listings. Interviews were completed with 148 businesses; 106 were headed by men and 42 by women. Three years later, 22 of those businesses had failed: 15 headed by men, 7 by women. (Use 3 decimal places) a. Is there a significant difference between the rate at which businesses headed by men and those headed by women fail? Formulate and test the appropriate hypotheses at the 5% level. Report the value of the test statistic as well as the P-value and your decision. (10 points) b. Report also a 95% CI. Write one complete sentence expressing the result. (5 points)

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