Question 12 pts

The recommended dietary allowance (RDA) of iron for adult females is 18 milligrams (mg) per day. The iron intakes (mg) were obtained for a random sample of 45 adult females. The sample mean was 16.4 mg. At the 5% significance level, do the data suggest that adult females are, on average, getting less than the RDA of 18 mg of iron? Assume that the population standard deviation is 4.5 mg. Use this data for questions 1 to 6.

Choose the correct null and alternative hypotheses.

Group of answer choices

H0: <18 mg; Ha =18 mg

H0: =18 mg; Ha: <18 mg

H0: >18 mg; Ha: <18 mg

H0: >18 mg; Ha =18 mg

Flag question: Question 2

Characterize the type of test.

Group of answer choices

Right-tailed test

Left-tailed test

Two-tailed test

Flag question: Question 3

Compute the value of the test statistic. Round your answer to three decimal places.

Flag question: Question 4

Determine the critical value(s). Round your answer to three decimal places.

Group of answer choices

-1.960

-2.385

-1.645

-0.520

Flag question: Question 5

Decide whether or not we should reject the null hypothesis.

Group of answer choices

Since the test statistic is less than the critical value, we accept the null hypothesis

Since the test statistic is less than the critical value, we reject the null hypothesis.

Since the test statistic is greater than the critical value, we reject the null hypothesis

Since the test statistic is less than the critical value, we accept the null hypothesis