For the following information, determine whether a normal sampling distribution can be used, where \( p \) is the population proportion, \( \alpha \) is the level of significance, \( \hat{p} \) is the sample proportion, and \( n \) is the sample size. If it can be used, test the claim. Claim: \( p \geq 0.47 ; \alpha=0.04 \). Sample statistics: \( \hat{p}=0.40, n=140 \) If a normal sampling distribution can be used, identify standardized test statistic \( z \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to two decimal places as needed.) B. A normal sampling distribution cannot be used. If a normal sampling distribution can be used, decide whether to reject or fail to reject the null hypothesis and interpret the decision. Choose the correct answer below. A. Reject the null hypothesis. There is not enough evidence to reject the claim. B. Fail to reject the null hypothesis. There is not enough evidence to reject the claim. C. Fail to reject the null hypothesis. There is enough evidence to reject the claim. D. Reject the null hypothesis. There is enough evidence to reject the claim. E. A normal samoling distrihution cannot he used

In a one-sample t-test, which of the following is true about the null hypothesis? (B) The sample mean is greater than the population mean (C) The sample mean is not equal to the population mean (D) The sample size is larger than 30

A group of researchers are investigating how different studying strategies impact how much participants remember on a test. They recruit 50 participants and have half of the participants study by just reading a passage over and over for 10 minutes. The other half of the participants spend five minutes reading the passage one time and then answering a series of multiple-choice questions on the material for another five minutes. Finally, the participants write down as many facts from the reading passage as they can in three minutes. Which of the following is the dependent variable of the study? (A) Whether they re-read the passage or tested themselves on the material (D) The number of participants in the study

It is considered appropriate for a researcher to perform the analysis of variance test using a "continuous categorical variable". A) True (B) False

What is the main goal of hypothesis testing in statistics? A To prove that the null hypothesis is true. B To determine whether there is enough evidence to reject the null hypothesis. (C) To calculate the mean of the population. (D) To verify the accuracy of the sample data.

Define un diagrama de dispersión y describe su propósito en la estadística.