8. Many people have lost their job during the current recession and this has cau

Question

8. Many people have lost their job during the current recession and this has caused many of them after months of looking for a new job with no success to experience anxiety In a national survey of people who have been looking for employment for more than 6 months, 65% of them said they feel anxious regarding their job prospects. You want to test the hypothesis that the proportion of unemployed people who have been looking for more than 6 months in the state of Pennsylvania and feel anxious differs from the national proportion of 0.65. You test Ho: p = 0.65 Hap 0.65 and calculate the test statistic z = 1.73. The p-value for the test is a. p-value-0.9364 b, p-value = 0.0836 c, p-value = 0.1 082 d. p-value 0.8500 e" p-value =-0.0539

Explanation / Answer

This is a 2 tailed test.

The p value (left tail, from normal distribution tables ) at z = 1.73 is 0.9582. Since z is a positive value, the 2 tailed probability = (1 - 0.9582) * 2 = 0.0418 * 2 = 0.0836 (Option b)

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