Give an example to explain the interval estimation...

Give an example to explain the Interval Estimation & Hypothesis for one sample. Discuss the Hypothesis case 3 with P-value and critical approach. For critical thinking give one evidence of real word or business example explanation to support this week topic.

Transcript

00:01 Hello student, in the given question the critical value approach, the critical value approach, value approach is a common method, is a common method, method used in hypothesis testing, used in hypothesis testing, hypothesis testing to make decisions about the null hypothesis, to make decisions about the null hypothesis, null hypothesis.

00:51 So it involves comparing the test statistic, it involves comparing, comparing the test statistic, test statistic to a critical value, to a critical value determined based on the significance level and the distribution of, distribution of test statistic, test statistic.

01:43 So here is the example to illustrate the critical, critical value approach in the hypothesis testing.

01:49 A researcher want to test, a researcher want to test whether the mean weight, mean weight of certain population, of a certain population is significantly different, different from 150 pound, 150 pounds.

02:30 So here the null hypothesis states that, the null hypothesis states that mean weight is equals to, mean weight is equals to 150 pounds while the alternative hypothesis states that mean weight is not equals to 150 pounds.

02:52 Now the researcher collects a random sample of 50 individuals, means n is equals to 50 from the population and calculate the sample mean weight, sample mean weight is equals to 155 pounds.

03:12 The researcher also knows the population standard deviation which is 10 pounds.

03:17 The researcher decide to conduct a two -tailed hypothesis test, researcher decide to conduct two -tailed hypothesis test, hypothesis test at significance level 0 .05.

03:44 This means that the researcher want to consider both probability, the mean weight being significantly less than 150 pounds or significantly greater than 150 pounds.

03:54 So here using critical value approach, using critical value approach, the researcher determines the critical value based on the significant level and distribution of the test statistics.

04:13 So in this case the sample size is relatively large means n is equals to 50.

04:18 So the researcher can use, researcher can use z -test here...

Question

Give an example to explain the Interval Estimation & Hypothesis for one sample. Discuss the Hypothesis case 3 with P-value and critical approach. For critical thinking give one evidence of real word or business example explanation to support this week topic.

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