Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions \( p_{1} \) and \( p_{2} \) at the level of significance \( \alpha \). Assume that the samples are random and independent. Claim: \( p_{1} \neq p_{2}, \alpha=0.01 \) Sample Statistics: \( x_{1}=32, n_{1}=73, x_{2}=30, n_{2}=83 \) Determine whether a normal sampling distribution can be used. The samples are random and independent. A normal sampling distribution \( n_{1} \bar{q}=\square, n_{2} \bar{p}=\square \), and \( n_{2} \bar{q}=\square \). (Round to two decimal places as needed.) State the null and alternative hypotheses, if applicable. A. \( H_{0}: p_{1}=p_{2} \) \( H_{a}: p_{1} \neq p_{2} \) B. \( H_{0}: p_{1} \geq p_{2} \) \( H_{a}: p_{1}<p_{2} \) C. \( H_{0}: p_{1} \leq p_{2} \) \( H_{a}: p_{1}>p_{2} \) D. The conditions to use a normal sampling distribution are not met.

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

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

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

When viewing SPSS output, how does one know what decision to make with regard to the \( H_{0} \) ? (A) Ife confidence level lies between the p-value and \( X^{2} \) obt the \( H_{0} \) can be rejected (B) If \( p a \), the \( H_{0} \) can be rejected (C) If the \( x_{0}^{2} \), the \( H_{0} \) is greater be rejected (D) the critical value, the \( H_{0} \) can be retained

Data from the Office for National Statistics show that the mean age at which men in Great Britain get married was 32.5 . A news reporter noted that this represents a continuation of the trend of waiting until a later age to wed. A new sample of 47 recently wed British men provided their age at the time of marriage. This data is contained below. Age- \( 26,36,27,30,28,26,36,33,25,30,31,34,26,33,29,32,30,39 \), \( 34,27,30,30,35,26,28,29,36,28,28,26,38,25,35,40,26,35,35,27 \), \( 33,29,28,33,38,39,35 \) Do these data indicate that the mean age of British men at the time of marriage exceeds the mean age in 2013 ? Test this hypothesis at a= 0.01. What is your conclusion? Use the obtained rounded values in your calculations. Sample mean: Sample standard deviation: t-value: p-value (Upper Tail):