Question

the iq scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood were collected. the statistics are summarized in the accompanying table. assume that the two samples are independent simple random samples selected from normally distributed populations. do not assume that the population standard deviations are equal. complete parts (a) to (c)
the test statistic is 1.06 (round to two decimal places as needed)
the p - value is 0.147 (round to three decimal places as needed)
state the conclusion for the test.
a. reject the null hypothesis. there is sufficient evidence to support the claim that subjects with low lead levels have higher iq scores.
b. fall to reject the null hypothesis. there is not sufficient evidence to support the claim that subjects with low lead levels have higher iq scores.
c. fall to reject the null hypothesis. there is sufficient evidence to support the claim that subjects with low lead levels have higher iq scores.
d. reject the null hypothesis. there is not sufficient evidence to support the claim that subjects with low lead levels have higher iq scores.
b. construct a confidence interval appropriate for the hypothesis test in part (a)
\\( \square<\mu_{1}-\mu_{2}<\square \\)
(round to one decimal place as needed)

Explanation:

Step1: Determine the significance level

Assume a common significance level of $\alpha = 0.05$.

Step2: Compare the P - value with the significance level

We have a P - value of $0.147$. Since $0.147>0.05$.

Step3: Make a decision about the null hypothesis

When $P - value>\alpha$, we fail to reject the null hypothesis.

Answer:

B. Fall to reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores.