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You are tasked with investigating whether fake news media platform and personality are independent. Consider the table below to help you with your task.
Celebrity. C/ Politician .P/ Sport Star .SS/ Total
Social Media .SM/ 1800 700 515 3015
Traditional Media. TM/ 485 350 150 985
Total 2285 1050 775 4000

Consider the following statement below.
(A) We reject the null hypothesis.
(B) We do not the reject the null hypothesis.
(C) Media platform and personality are independent.
Which statements are correct?
1. Only A
2. Only B
3. Only C.
4. A and C only.
5. B and C only.
You are tasked with the investigating whether fake news media platform and personal are independent. Consider the table below to help you with your task.

Celebrity .C/ Politician .P Sport Star .SS/ Total
Social Media .SM/ 1800 700 515 3015
Traditional Media TM/ 485 350 150 985
Total 2285 1050 665 4000


Question
What is the value of test statistic?
1. 4
2. 16
3. 53.26
4. 58.66
5. 62.68

5 Gem stones from a certain mine have weights, X grams, which are normally distributed with mean 1.9 g and standard deviation 0.55 g. These gem stones are sorted into three categories for sale depending on their weights, as follows.

Small: under 1.2 g Medium: between 1.2 g and 2.5 g Large: over 2.5 g

(i) Find the proportion of gem stones in each of these three categories.

(ii) Find the value of k such that Pk < X < 2.5 =


A dice is thrown two times. What is the probability that the sum Is neither 8 nor 9?


According to the National Institute on Drug Abuse, a U.S. government agency, 17.3% of 8th graders in 2010 had used marijuana at some point in their lives. A school official hopes to show the percentage is lower in his district, testing H0: p=0.173 versus Ha: p>0.173.

The health department for the district uses anonymous random sampling and finds that 10% of 80 eighth graders surveyed had used marijuana.

Is the sample size condition for conducting a hypothesis test for a population proportion satisfied?
According to a recent poll 80% of millenials sleep with their cell phone next to their bed. (Millenials are commonly defined as people born 1980-1999.) Suppose you seleet a random sample of five millenials. a, What is the probability that exactily four millenials in your sample sleep next to their cell phone? b. What is the probability that more than three millenials in your sample sleep next to their cell phone?
Autism south africa has found that 50 %0f people with autism spectrum disorder (asd) struggle with social interaction. Assume we randomly select 5 people living with asd. What is the probability that at most 1 person with asd will struggle with social interaction?
Use the standard normal distribution to find p(-2.50<z<1.50)
219 199 232 183 217 222 205 199 239 233 241 205 214 198 250 245 211 200 259 222 239 235 199 247 228 242 228 238 227 204 211 300 280 288 271 111 132 156 190 198 245 232 241 243 280 265 276 290 227


group the data and construct a contigency table containing class limit,class boundaries,frequency,midpoint,relative frequency,less than cumulative frequency and more than cumulative frequency.use the interval of 111-138, 139-166
A study was done by an undergraduate student wanting to determine the probable location of computers (PC or laptop) in the home. The following probabilities were determined: Adult bedroom = 0.03, Child bedroom = 0.10, Other bedroom = 0.14, Home Office or Study room = 0.42, Other rooms = 0.31. What is the probability that a computer is not in the study?
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