A researcher calculates a 90% confidence interval of (3397, 3421) to estimate th

Question

A researcher calculates a 90% confidence interval of (3397, 3421) to estimate the population birth weight using a random sample of 84 babies born to mothers with gestational diabetes. She wants to compare this range to the average for the general population, known to be 3389 grams. Choose the best answer to describe the alternative hypothesis and the statistical conclusion.

a.

A p-value is needed to make a statistical conclusion.

b.

Ha: 3389, using a significance level of .10, two-tailed, we reject the null hypothesis

c.

Ha: >3389, using a significance level of .05, one-tailed, we reject the null hypothesis

d.

Ha: 3389, using a significance level of .10, two-tailed, we fail to reject the null hypothesis

a.

A p-value is needed to make a statistical conclusion.

b.

Ha: 3389, using a significance level of .10, two-tailed, we reject the null hypothesis

c.

Ha: >3389, using a significance level of .05, one-tailed, we reject the null hypothesis

d.

Ha: 3389, using a significance level of .10, two-tailed, we fail to reject the null hypothesis

Explanation / Answer

The interval does not contain the population parameter. Thus, the effect is significant. As for all the values in the confidence interval are plausible values for the parameter, but values outside the interval are rejected as plausible values for the parameter. So, the best answer is:

b.

Ha: 3389, using a significance level of .10, two-tailed, we reject the null hypothesis

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