5.1

66問 • 1年前

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assertion or a conjecture about one or more population evolves from the characteristics of an observed sample subjected to a rigorous test

Statistical Hypothesis

gaining wide acceptance in many situations where decisions have to be carefully made. decision-making process for evaluating claims about a population based in the characteristics of a sample popupo

Hypothesis Testing

You want to validate the claim that the mean mpnumberof hours of sleep of college studentsin 5 hours.

The mean of the number of hours of sleep of college student is equal to 5 hours The mean of the number of hours of sleep of college student is not equal to 5 hours

The null hypothesis is an initial claim based on previous analyses, which the researcher tries to disprove, reject, or nullify

Null Hypothesis

It shows no significant difference between two parameters. It is denoted by 𝐻𝑜= u1: u1 = u2

Null Hypothesis

The alternative hypothesis is contrary to the null hypothesis, which shows that observations are the result of a real effect

Alternative Hypothesis

It shows significant difference between two parameters. It is denoted by 𝐻𝑎: u1 = u2

Alternative Hypothesis

A social worker wants to test (at a = 0.05) whether the average body mass index (BMI) of the pupils under feeding program is different from 8.2 kg. Null and Alternative Hypotheses in words

Ho:μ = 18.2 Ha: μ ≠ 18.2

It shows significant difference between two parameters. It is denoted by 𝐻𝑎: u1 = u2

Alternative Hypothesis

proposed explanation, or assumption about a population parameter or about the distribution of a random variable

Testing of Hypothesis

statistical method applied in making decision using experimental data. basically testing an assumption that we make about a population

Hypothesis Testing

The level of significance denoted by alpha or 𝛂 refers to the degree of significance in which we accept or reject the null hypothesis.

Level of Significance

When the alternative hypothesis is two-sided like 𝐻𝑎: 𝜇 ≠ 𝜇0, it is called

two-tailed test

When the given statistics hypothesis assumes a less than or greater than value, it is called

one-tailed test

The school registrar believes that the average number of enrollees this school year is not the same as the previous school year. In the above situation, let 𝜇0 be the average number of enrollees last year

two-tailed test

if the school registrar believes that the average number of enrollees this school year is less than the previous school year

one-tailed test

is the set of all values of the test statistic that causes us to fail to reject the null hypothesis

non-rejection region

is the set of all values of the test statistic that causes us to reject the null hypothesis.

rejection region

on the test distribution that is compared to the test statistic to determine if the null hypothesis would be rejected

critical value

Rejecting the null hypothesis when it is true is called a _ error with probability denoted by alpha (𝜶)

Type I

Accepting the null hypothesis when it is false is called a _ error with probability denoted by beta (𝛃)

Type II

A Grade 11 researcher reported that the average allowance of Senior High School students is ₱100. A sample of 40 students has mean allowance of ₱120. At 𝛼 = 0.01 test, it was claimed that the students had allowance of ₱ 100. The standard deviation of the population is ₱50. What id the parameter

the average allowance of Senior High School students is ₱100or 𝝁 = ₱𝟏𝟎𝟎

According to a survey, 63% of the parents are willing to spend extra money for their children’s health and education matters. What is the parameter.

the percentage/proportion of parents willing to spend extra money in their children’s health and education matter or 𝒑 = 𝟎. 𝟔𝟑

It is a proposed explanation, assertion, or assumption about a population parameter or about the distribution of a random variable.

Hypothesis

What is the statistical method used in making decisions using experimental data?

Hypothesis testing

It is also the probability of committing an incorrect decision about the null hypothesis.

Level of significance

Which of the following describes an alternative hypothesis using two-tailed test?

𝐻𝑎 ≠ 100

In a one-tailed test, in which critical value listed below will the computed z of 2.313 fall in the acceptance region?

2.365

Which of the following would be an appropriate null hypothesis?

The mean of a population is equal to 75.

When is a Type I error committed?

We reject a null hypothesis that is true.

When is a Type II error committed?

We fail to reject a null hypothesis that is false.

Which of the following is a Type I error?

𝐻0 is true; reject 𝐻0.

Which of the following describes an alternative hypothesis in a left- tailed test?

𝐻𝑎 < 100

A medical trial is conducted to test whether a new medicine reduces uric acid by 50% or not.

𝐻 o: The new medicine can reduce uric acid 𝐻a: The new medicine cannot reduce uric acid

We want to test whether the general average of students in Math is different from 80%

𝐻o: The general average of students in Math is equal to 80%. 𝐻 a: The general average of students in Math is different from 80%

The standard deviation of their height is not equal to 5 inches.

two-tailed test

Male Grade 7 and Grade 12 students differ in height on average

two-tailed test

The enrolment in elementary schools is not the same as the enrolment in the secondary schools.

two-tailed test

Paracetamol and Ibuprofen have the same rate of time to reduce the headache of the patients.

two-tailed test

The mean height of Grade 12 students is less than 66 inches.

one-tailed test

The proportion of senior male students’ height is significantly higher than that of senior female students

one-tailed test

The average grade of Grade 11 students in Statistics is lower than their average grade in Calculus.

one-tailed test

The newly found vaccine reduces the risks of viral infections of the patients.

one-tailed test

Male adolescents have higher intelligence quotient level than the female adolescents.

one-tailed test

The average number of internet users this year is significantly higher as compared last year.

one-tailed test

critical t-value of 1.318 computed t-value of 1.1 The computed t-value is at the __________ region.

acceptance

critical t-value of ±1.311 computed t-value of −1.134 The computed t-value is at the __________ region.

acceptance

critical t-value of −2.306 computed t-value of −2.110 The computed t-value is at the __________ region.

acceptance

critical t-value of 2.228 computed t-value of 1.987 The computed t-value is at the __________ region.

acceptance

critical t-value of −1.671 computed t-value of −2.45 The computed t-value is at the __________ region.

rejection

critical t-value of 1.725 computed t-value of 2.14 The computed t-value is at the __________ region.

rejection

critical t-value of −1.701 computed t-value of −2.48 The computed t-value is at the __________ region.

rejection

critical t-value of 2.12 computed t-value of 2.15 The computed t-value is at the __________ region.

rejection

critical t-value of ±1.812 computed t-value of −1.915 The computed t-value is at the __________ region.

rejection

It is the statistical method used in making decisions using experimental data.

hypothesis testing

What term is being used to describe a proposed explanation, assertion, or assumption about a population parameter or about the distribution of a random variable?

hypothesis

What term is being used to describe a proposed explanation, assertion, or assumption about a population parameter or about the distribution of a random variable?

level of significance

Which of the following would be an appropriate null hypothesis?

The mean of a population is equal to 80.

Which of the following describes a null hypothesis using two-tailed test?

𝐻0: 𝜇 = 𝜇0

Which of the following describes an alternative hypothesis using two-tailed test?

𝐻𝑎: 𝜇 ≠ 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑

Which of the following must be used as the significance level if we want a lower possibility of correct decision?

10%

Which of the following would be an appropriate alternative hypothesis for one-tailed test?

𝐻𝑎: 𝜇 < 85

a one-tailed test, in which critical values below will the computed z of 2.312 falls in the non-rejection region?

2.354

If the computed z-value is 1.286 and the critical value is 1.383, which of the following statements could be true?

We fail to reject a null hypothesis that is false.

Using a left-tailed test, which of the following value of z will not fall in the rejection region where the critical value is – 1.638?

– 1.637

If the computed z-value is 1.915 and the critical value is 1.812, which of the following statements could be true?

It lies in the rejection region, 𝐻𝑜 must be rejected.

Earth's Subsystem

Gwenneth Dalawampu · 13問 · 2年前

Earth's Subsystem