1. A test of H 0 =? 0 versus H a < ? 0 resulted in a test statistic equal to 1.6

Question

1. A test of H0=?0 versus Ha < ?0 resulted in a test statistic equal to 1.62.

Which of the following standard normal areas equals the P-value of this test?

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.

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2. The results of a CDC (Centers for Disease Control and Prevention) survey found that 44% of adults have yearly flu shots, with a margin of error plus or minus 0.4% with 95% confidence.

This means

The sample proportion was 0.44 and sampling theory tells us that sample proportion differs from the actual population proportion by less than 0.004 95% of the time.

0.4% of adults were not included in the survey.

0.4% of the adults surveyed refused to finish the survey.

The percentage of the adults surveyed who get annual flu shots was either 43.6% or 44.4%.

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.

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Explanation / Answer

1)

Since the alternate hypothesis Ha< u0

The test is a left tail test in which the probability value comes in the left side of the standard normal curve

Here in the question the option C is correct answer

2)Given Survey found that 44% of adults have yearly flu shots with a margin of error of 0.004 with 95% confidence

This means the sample proportion was 0.44

About 95% time the actual proportion is in between ± 0.004 of 0.44

Hence option A is correct

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