Review the following problem and find where the researcher made a mistake. (1 po

Question

Review the following problem and find where the researcher made a mistake. (1 point) Write out the null and alternative hypotheses for the following hypothetical proposal. Carry out a one-sample Z test to determine significance at the a 0.05 level. PROPOSAL Recent scientific literature has suggested a link between exposure to the endocrine disruptor Bisphenol A (BPA) found ubiquitously in many plastic materials, and precocious puberty in adolescents. The transmission is maternal to child during the last weeks of gestation. Scientists can trace the presence of BPA in children for years after birth, and believe that it may be the cause for early onset of puberty in young girls. Suppose a researcher collects a SRS of 92 girls with high exposure rates of BPA and follows them through puberty. The sample average age of puberty was 9.7 years. Assume the national average age for onset of puberty is 11.2 years with a population standard deviation of 0.6 years. Does the researcher have sufficient evidence at the alpha level of 0.05 to determine if the exposure to BPA has led to a decreased age of puberty in girls? sE

Explanation / Answer

The null hypothesis and alternate hypothesis should exhaust all possible outcomes of the experiment.

In the above case, if our null hypothesis is Ho: population mean = 11.2 and alternate hypothesis, Ha: pop mean < 11.2

This does not exhaust all possibilities since we are not taking into account the case when pop mean is > 11.2.

Hence, Null hypothesis is stated incorrectly.

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