Question

For which of the given $P$ -values would the null hypothesis be rejected when performing a level .05 test? $\begin{array}{ll}{\text { (a) }} & {.001} \\ {\text { (b) }} & { . .021} \\ {\text { (c) }} & {.078}\end{array}$ $\begin{array}{ll}{\text { (d) }} & {.047} \\ {\text { (e) }} & {.148}\end{array}$

Name: Problem 55, Chapter 5: Probability with Applications in Engineering, Science, and Technology
Uploaded: 2020-09-12T16:54:55-08:00
Duration: 4 min 27 s
Channel: Sonam Khatri
Description: For which of the given P -values would the null hypothesis be rejected when performing a level .05 test? (a) .001 (b) . .021 (c) .078 (d) .047 (e) .148

   For which of the given $P$ -values would the null hypothesis be rejected when performing a level
.05 test?
$\begin{array}{ll}{\text { (a) }} & {.001} \\ {\text { (b) }} & { . .021} \\ {\text { (c) }} & {.078}\end{array}$
$\begin{array}{ll}{\text { (d) }} & {.047} \\ {\text { (e) }} & {.148}\end{array}$

Probability with Applications in Engineering, Science, and Technology

Matthew A. Carlton •… 2nd Edition

Chapter 5, Problem 55

Instant Answer

Solved by Expert Sonam Khatri

09/12/2020

Step 1

05. This means that if our p-value is less than or equal to 0.05, we reject the null hypothesis. If our p-value is greater than 0.05, we do not reject the null hypothesis. Show more…

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For which of the given $P$ -values would the null hypothesis be rejected when performing a level .05 test? $\begin{array}{ll}{\text { (a) }} & {.001} \\ {\text { (b) }} & { . .021} \\ {\text { (c) }} & {.078}\end{array}$ $\begin{array}{ll}{\text { (d) }} & {.047} \\ {\text { (e) }} & {.148}\end{array}$

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Key Concepts

P-value

The p-value represents the probability of obtaining test results at least as extreme as those observed, assuming that the null hypothesis is true. It is used as a measure of the evidence against the null hypothesis in hypothesis testing.

Significance Level

The significance level, often denoted by alpha, is the threshold set by the researcher (commonly 0.05) at which the p-value is compared. If the p-value is lower than this threshold, it indicates that the observed data is unlikely under the null hypothesis, leading to its rejection.

Hypothesis Testing

Hypothesis testing is a statistical procedure used to determine whether there is enough evidence in a sample to infer that a certain condition is true for the entire population. The process involves comparing the p-value to a pre-determined significance level to decide whether to reject the null hypothesis.

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