Math / Data & Statistics

QuestionAnswer the following True or False: A researcher hypothesizes that the average student spends less than $20 \%$ of their total study time reading the textbook. The appropriate hypothesis test is a left tailed test for a population mean. false true

Studdy Solution

STEP 1

1. The researcher is interested in testing whether the average time spent is less than $20\%$ .
2. The hypothesis test involves the population mean of the percentage of study time spent reading the textbook.

STEP 2

1. Define the null and alternative hypotheses.
2. Determine the direction of the hypothesis test.
3. Evaluate whether the statement about the test being left-tailed is true or false.

STEP 3

Define the null hypothesis ( $H_0$ ) and the alternative hypothesis ( $H_a$ ):
- $H_0: \mu \geq 20\%$ - $H_a: \mu < 20\%$
where $\mu$ is the population mean percentage of study time spent reading the textbook.

STEP 4

Determine the direction of the hypothesis test based on the alternative hypothesis:
Since $H_a: \mu < 20\%$ , this indicates a left-tailed test because we are testing if the mean is less than a certain value.

STEP 5

Evaluate the statement:
The statement "The appropriate hypothesis test is a left-tailed test for a population mean" is true, as the alternative hypothesis $H_a: \mu < 20\%$ suggests a left-tailed test.
The answer is:
$\boxed{\text{true}}$

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QuestionAnswer the following True or False: A researcher hypothesizes that the average student spends less than $20 \%$ of their total study time reading the textbook. The appropriate hypothesis test is a left tailed test for a population mean. false true

Studdy Solution

STEP 1

1. The researcher is interested in testing whether the average time spent is less than $20\%$ .
2. The hypothesis test involves the population mean of the percentage of study time spent reading the textbook.

STEP 2

1. Define the null and alternative hypotheses.
2. Determine the direction of the hypothesis test.
3. Evaluate whether the statement about the test being left-tailed is true or false.

STEP 3

Define the null hypothesis ( $H_0$ ) and the alternative hypothesis ( $H_a$ ):
- $H_0: \mu \geq 20\%$ - $H_a: \mu < 20\%$
where $\mu$ is the population mean percentage of study time spent reading the textbook.

STEP 4

Determine the direction of the hypothesis test based on the alternative hypothesis:
Since $H_a: \mu < 20\%$ , this indicates a left-tailed test because we are testing if the mean is less than a certain value.

STEP 5

Evaluate the statement:
The statement "The appropriate hypothesis test is a left-tailed test for a population mean" is true, as the alternative hypothesis $H_a: \mu < 20\%$ suggests a left-tailed test.
The answer is:
$\boxed{\text{true}}$

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QuestionAnswer the following True or False: A researcher hypothesizes that the average student spends less than 20%20 \%20% of their total study time reading the textbook. The appropriate hypothesis test is a left tailed test for a population mean. false true

Studdy Solution

STEP 1

1. The researcher is interested in testing whether the average time spent is less than 20%20\%20%.2. The hypothesis test involves the population mean of the percentage of study time spent reading the textbook.

STEP 2

1. Define the null and alternative hypotheses.2. Determine the direction of the hypothesis test.3. Evaluate whether the statement about the test being left-tailed is true or false.

STEP 3

Define the null hypothesis (H0H_0H0​) and the alternative hypothesis (HaH_aHa​):- H0:μ≥20%H_0: \mu \geq 20\%H0​:μ≥20% - Ha:μ<20%H_a: \mu < 20\%Ha​:μ<20%where μ\muμ is the population mean percentage of study time spent reading the textbook.

STEP 4

Determine the direction of the hypothesis test based on the alternative hypothesis:Since Ha:μ<20%H_a: \mu < 20\%Ha​:μ<20%, this indicates a left-tailed test because we are testing if the mean is less than a certain value.

STEP 5

Evaluate the statement:The statement "The appropriate hypothesis test is a left-tailed test for a population mean" is true, as the alternative hypothesis Ha:μ<20%H_a: \mu < 20\%Ha​:μ<20% suggests a left-tailed test. The answer is:true \boxed{\text{true}} true​

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionAnswer the following True or False: A researcher hypothesizes that the average student spends less than $20 \%$ of their total study time reading the textbook. The appropriate hypothesis test is a left tailed test for a population mean. false true

1. The researcher is interested in testing whether the average time spent is less than $20\%$ .
2. The hypothesis test involves the population mean of the percentage of study time spent reading the textbook.

1. Define the null and alternative hypotheses.
2. Determine the direction of the hypothesis test.
3. Evaluate whether the statement about the test being left-tailed is true or false.

Define the null hypothesis ( $H_0$ ) and the alternative hypothesis ( $H_a$ ):
- $H_0: \mu \geq 20\%$ - $H_a: \mu < 20\%$
where $\mu$ is the population mean percentage of study time spent reading the textbook.

Determine the direction of the hypothesis test based on the alternative hypothesis:
Since $H_a: \mu < 20\%$ , this indicates a left-tailed test because we are testing if the mean is less than a certain value.

Evaluate the statement:
The statement "The appropriate hypothesis test is a left-tailed test for a population mean" is true, as the alternative hypothesis $H_a: \mu < 20\%$ suggests a left-tailed test.
The answer is:
$\boxed{\text{true}}$