Suppose Facebook has launched a new fact-checking feature. It conducts a survey among its user base, wherein it asks them the question ‘Do you find the fact-checking feature useful?’. Out of the 2,500 respondents, 53.2% believe that the feature is useful. If you define X as the proportion of people that find the feature useful, the frequency distribution for X would be as shown in the table given below. X Frequency1 1,3300 1,170Question 2/3MandatorySampling and EstimationSuppose the sample standard deviation is known to be 0.6, what is the interval in which the mean of the sampling distribution of sample size 2,500 will belong at a 99% confidence level?(0.456, 0.608)(0.572, 0.588)(0.493, 0.571)(0.501, 0.563)

Suppose you work for a news agency, which is conducting an exit poll for the MCD (Municipal Corporation of Delhi) elections. You have been tasked with predicting the winner for ward 75N (Ashok Vihar). You ask 100 randomly selected voters from this ward to name the party they had voted for. Of the 100 voters, 58 voted for AAP and 42 voted for BJP.  So, you define X as the proportion of people that voted for AAP. Then, the frequency distribution for X would be as shown in the table given below. X Frequency1 580 42Question 1/3MandatoryComprehensionFind the mean and standard deviation of X.0.58; 0.2460.58; 0.4960.58; 0.494None of the above

X Frequency1 580 42Question 1/3MandatoryComprehensionFind the mean and standard deviation of X.

You ask 100 randomly selected voters from this ward to name the party they had voted for. Of the 100 voters, 58 voted for AAP and 42 voted for BJP.  So, you define X as the proportion of people that voted for AAP. Then, the frequency distribution for X would be as shown in the table given below. X Frequency1 580 42Question 1/3MandatoryComprehensionFind the mean and standard deviation of X.

The marketing manager for the print division of Publishing and Broadcasting Limited claims that 23% of university students regularly read the Bulletin magazine. A survey of 240 students showed that only 43 students read the Bulletin regularly. Assuming the manager's claim is correct, determine (to 4 decimal places):1. the standard error for the sampling distribution of the proportion. 2. the probability that the sample proportion is no more than that found in the survey.

According to Facebook’s self-reported statistics, the average Facebook user has 130 Facebook friends. For a statistics project, a student at Contra Costa College tests the hypothesis that CCC students will average more than 130 Facebook friends.She randomly selects 3 classes from the schedule of classes and distributes a survey in these classes. Her sample contains 45 students.Here are the null and alternative hypotheses for her study: H0: µ = 130, Ha: µ > 130.From her survey data, the statistics student calculates that the mean number of Facebook friends for her sample is 138.7 with a standard deviation of 79.3. She analyzed her data using a t-test and obtained a P-value of 0.23.What conclusion can she draw from her data? Even though 138.7 is larger than 130, it is not significantly larger than 130. In other words, the data do not provide enough evidence to conclude that the mean number of Facebook friends of all CCC college students is higher than 130. The sample value of 138.7 is significantly larger than 130. In other words the data provide provide enough evidence to conclude that the mean number of Facebook friends of all CCC college students is higher than 130. Nothing. The conditions for use of a t-test were not met. She cannot trust that the P-value is accurate for this reason.