MATH SOLVE

3 months ago

Q:
# If the P-value is 0.02, it means that the probability of obtaining the sample statistic is 2%, if the null hypothesis is true. the probability of obtaining the sample statistic is 2%. the probability of obtaining the sample statistic is 2%, if the alternate hypothesis is true. the probability that the null hypothesis is true, is 2%.

Accepted Solution

A:

Answer: Option a) The probability of obtaining the sample statistic is 2%, if the null hypothesis is true.Step-by-step explanation: We are given that the p-value is 0.02Converting it into percentage:[tex]0.02\times 100 = 2\%[/tex]P-value can be explained as:P-value can be described as probability of the occurrence of a given eventThe p-value, or probability, is the probability of finding the observed results when the null hypothesis [tex]H_0[/tex] of a study is true.If the p-value is less than the chosen significance level then we reject the null hypothesis and accept that the sample gives reasonable evidence to support the alternative hypothesis. A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis.The p-value is the probability to the right of our test statistic.The smaller is the p-value, the stronger are the evidence against the null hypothesis and in favor of alternative hypothesis.Hence, Option a) correctly describes the p-values as:The probability of obtaining the sample statistic is 2%, if the null hypothesis is true.