For Questions 20 - 30, use the data below.

Studies have shown that large amounts of mercury in fish leads to various health problems in consumers. The Food and Drug Administration (FDA) researches and tests Ahi Tuna for mercury prior to distribution. To protect consumers, the FDA recommends that mercury concentration should not exceed 0.4mg. Research has suggested that the level of mercury in farm raised Ahi Tuna could result in lower mercury levels. A sample of 30 farm raised Ahi Tuna resulted in a mercury level of 0.415mg with a standard deviation of 0.07mg.

As a new trainee at the Food and Drug Administration, your task is to test whether farm raised Ahi Tuna have mercury levels larger than the FDA suggested level.

Choose the correct null hypothesis H₀, and alternative hypothesis H_a

Group of answer choices

Ho: = 0.4; Ha: < 0.4

Ho: < 0.4; Ha: = 0.4

Ho: = 0.4; Ha: > 0.4

Ho: > 0.4; Ha: > 0.4

Flag question: Question 21

For Questions 20 - 30, use the data below.

Studies have shown that large amounts of mercury in fish leads to various health problems in consumers. The Food and Drug Administration (FDA) researches and tests Ahi Tuna for mercury prior to distribution. To protect consumers, the FDA recommends that mercury concentration should not exceed 0.4mg. Research has suggested that the level of mercury in farm raised Ahi Tuna could result in lower mercury levels. A sample of 30 farm raised Ahi Tuna resulted in a mercury level of 0.415mg with a standard deviation of 0.07mg.

As a new trainee at the Food and Drug Administration, your task is to test whether farm raised Ahi Tuna have mercury levels larger than the FDA suggested level.

Is this hypothesis test left-tailed, right-tailed, two-tailed, or neither?

Group of answer choices

Two-tailed

Right-tailed

Left-tailed

Neither

Flag question: Question 22

For Questions 20 - 30, use the data below.

Studies have shown that large amounts of mercury in fish leads to various health problems in consumers. The Food and Drug Administration (FDA) researches and tests Ahi Tuna for mercury prior to distribution. To protect consumers, the FDA recommends that mercury concentration should not exceed 0.4mg. Research has suggested that the level of mercury in farm raised Ahi Tuna could result in lower mercury levels. A sample of 30 farm raised Ahi Tuna resulted in a mercury level of 0.415mg with a standard deviation of 0.07mg.

As a new trainee at the Food and Drug Administration, your task is to test whether farm raised Ahi Tuna have mercury levels larger than the FDA suggested level.

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

Flag question: Question 23

For Questions 20 - 30, use the data below.

Studies have shown that large amounts of mercury in fish leads to various health problems in consumers. The Food and Drug Administration (FDA) researches and tests Ahi Tuna for mercury prior to distribution. To protect consumers, the FDA recommends that mercury concentration should not exceed 0.4mg. Research has suggested that the level of mercury in farm raised Ahi Tuna could result in lower mercury levels. A sample of 30 farm raised Ahi Tuna resulted in a mercury level of 0.415mg with a standard deviation of 0.07mg.

As a new trainee at the Food and Drug Administration, your task is to test whether farm raised Ahi Tuna have mercury levels larger than the FDA suggested level.

Choose the answer below that best interprets the meaning of the test statistic.

Group of answer choices

It is a numerical summary of the population (?) that can be used to determine whether to reject the null hypothesis. We do not know the population standard deviation, therefore we use z stat.

It is a numerical summary of the sample that can be used to determine whether to reject the null hypothesis. We do not know the sample standard deviation, therefore we use t stat.

It is a numerical summary of the sample that can be used to determine whether to reject the null hypothesis. We do not know the population standard deviation, therefore we use t stat.

It is a numerical summary of the population that can be used to determine whether to reject the null hypothesis. We do not know the population standard deviation, therefore we use t stat.

Flag question: Question 24

For Questions 20 - 30, use the data below.

Studies have shown that large amounts of mercury in fish leads to various health problems in consumers. The Food and Drug Administration (FDA) researches and tests Ahi Tuna for mercury prior to distribution. To protect consumers, the FDA recommends that mercury concentration should not exceed 0.4mg. Research has suggested that the level of mercury in farm raised Ahi Tuna could result in lower mercury levels. A sample of 30 farm raised Ahi Tuna resulted in a mercury level of 0.415mg with a standard deviation of 0.07mg.

As a new trainee at the Food and Drug Administration, your task is to test whether farm raised Ahi Tuna have mercury levels larger than the FDA suggested level.

Find the critical value(s) at the 1% significance level. Round your answer to the third decimal place.

Flag question: Question 25

For Questions 20 - 30, use the data below.

Studies have shown that large amounts of mercury in fish leads to various health problems in consumers. The Food and Drug Administration (FDA) researches and tests Ahi Tuna for mercury prior to distribution. To protect consumers, the FDA recommends that mercury concentration should not exceed 0.4mg. Research has suggested that the level of mercury in farm raised Ahi Tuna could result in lower mercury levels. A sample of 30 farm raised Ahi Tuna resulted in a mercury level of 0.415mg with a standard deviation of 0.07mg.

As a new trainee at the Food and Drug Administration, your task is to test whether farm raised Ahi Tuna have mercury levels larger than the FDA suggested level.

Determine whether to reject H₀ at the 1% significance level.

Group of answer choices

Since the test statistic is less than the critical value, the test statistic falls in the nonrejection region. Therefore, we do not reject the null hypothesis.

Since the test statistic is less than the critical value the test statistic falls in the rejection region. Therefore, we reject the null hypothesis.

Since the test statistic is greater than the critical value the test statistic falls in the rejection region. Therefore, we reject the null hypothesis.

Since the test statistic is greater than the critical value the test statistic falls in the nonrejection region. Therefore, we do not reject the null hypothesis.

Flag question: Question 26

For Questions 20 - 30, use the data below.

Studies have shown that large amounts of mercury in fish leads to various health problems in consumers. The Food and Drug Administration (FDA) researches and tests Ahi Tuna for mercury prior to distribution. To protect consumers, the FDA recommends that mercury concentration should not exceed 0.4mg. Research has suggested that the level of mercury in farm raised Ahi Tuna could result in lower mercury levels. A sample of 30 farm raised Ahi Tuna resulted in a mercury level of 0.415mg with a standard deviation of 0.07mg.

As a new trainee at the Food and Drug Administration, your task is to test whether farm raised Ahi Tuna have mercury levels larger than the FDA suggested level.

Now find the critical value(s) at the 5% level of significance. Round your answer to the third decimal place

Flag question: Question 27

For Questions 20 - 30, use the data below.

Studies have shown that large amounts of mercury in fish leads to various health problems in consumers. The Food and Drug Administration (FDA) researches and tests Ahi Tuna for mercury prior to distribution. To protect consumers, the FDA recommends that mercury concentration should not exceed 0.4mg. Research has suggested that the level of mercury in farm raised Ahi Tuna could result in lower mercury levels. A sample of 30 farm raised Ahi Tuna resulted in a mercury level of 0.415mg with a standard deviation of 0.07mg.

As a new trainee at the Food and Drug Administration, your task is to test whether farm raised Ahi Tuna have mercury levels larger than the FDA suggested level.

Determine whether to reject H₀at the 5% significance level. Justify your answer.

Flag question: Question 28

For Questions 20 - 30, use the data below.

Studies have shown that large amounts of mercury in fish leads to various health problems in consumers. The Food and Drug Administration (FDA) researches and tests Ahi Tuna for mercury prior to distribution. To protect consumers, the FDA recommends that mercury concentration should not exceed 0.4mg. Research has suggested that the level of mercury in farm raised Ahi Tuna could result in lower mercury levels. A sample of 30 farm raised Ahi Tuna resulted in a mercury level of 0.415mg with a standard deviation of 0.07mg.

As a new trainee at the Food and Drug Administration, your task is to test whether farm raised Ahi Tuna have mercury levels larger than the FDA suggested level.

Write the conclusion for the task based on the calculations in Questions 25 and 27.

[...]

Flag question: Question 29

For Questions 20 - 30, use the data below.

Studies have shown that large amounts of mercury in fish leads to various health problems in consumers. The Food and Drug Administration (FDA) researches and tests Ahi Tuna for mercury prior to distribution. To protect consumers, the FDA recommends that mercury concentration should not exceed 0.4mg. Research has suggested that the level of mercury in farm raised Ahi Tuna could result in lower mercury levels. A sample of 30 farm raised Ahi Tuna resulted in a mercury level of 0.415mg with a standard deviation of 0.07mg.

As a new trainee at the Food and Drug Administration, your task is to test whether farm raised Ahi Tuna have mercury levels larger than the FDA suggested level.

What is not true about the p-value?

Group of answer choices

A p-value is a measure of the probability that an observed difference could have occurred just by random chance.

The p-value can be used as an alternative to or in a addition to pre-selected confidence levels for hypothesis testing.

The higher the p-value, the lesser the statistical significance of the observed difference.

The p-value can give or lessen significance for the alternative hypothesis.

Flag question: Question 30

For Questions 20 - 30, use the data below.

Studies have shown that large amounts of mercury in fish leads to various health problems in consumers. The Food and Drug Administration (FDA) researches and tests Ahi Tuna for mercury prior to distribution. To protect consumers, the FDA recommends that mercury concentration should not exceed 0.4mg. Research has suggested that the level of mercury in farm raised Ahi Tuna could result in lower mercury levels. A sample of 30 farm raised Ahi Tuna resulted in a mercury level of 0.415mg with a standard deviation of 0.07mg.

As a new trainee at the Food and Drug Administration, your task is to test whether farm raised Ahi Tuna have mercury levels larger than the FDA suggested level.

The p-value is given at 0.021. Determine whether to reject H₀at the 1% and 5% levels based on the p-value. Justify your answer.