### Transcription for Educational Use**Scenario:**Based on a smartphone survey, assume that 55% of adults with smartphones use them in theaters. In a separate survey of 234 adults with smartphones, it is found that 127 use them in theaters.**Questions:**a. If the 55% rate is correct, find the probability of getting 127 or fewer smartphone owners who use them in theaters.b. Is the result of 127 significantly low?**Instructions:**a. Calculate the probability of getting 127 or fewer smartphone owners who use them in theaters, assuming the 55% rate is accurate.- **Note:** Round to four decimal places as needed.b. Determine if the result of 127 is significantly low by comparing the probability to the significance cutoffs provided.- Choose the appropriate option based on probability comparison: - 0.5 - 0.95 - 0.05**Submission:**Enter your answer in the provided answer box.### Explanation of Components- **Text Box:** This is where you input your calculation answer.- **Dropdown Menu:** Offers probability values as options to assist in determining if the result is significant.

Solution: Given information: Let X be the random variable of adults used smartphone in the theater the probability of random variable X is p = 0.55 q= 1-p=0.45 n= 234 Sample size This is an binomial experiment with parameters n=234 and p=0.55 We used normal approximation to binomial distribution when np and nq both are grater than or equal to 10 np=234×0.55=128.7 ≥10nq=234×0.455=105.3≥10 both are greater that or equal to 10 we used normal approximation to binomial distribution. mean=μ=np=234×0.55=128.7Standard deviations = σ=npqStandard deviations = σ=234×0.55×0.45Standard deviations = σ=57.915Standard deviations = σ=7.6101905Standard deviations = σ=7.6102 a) To find the probability that 127 or fever smartphone owner used smartphone in theater that is to find P(X<127) P(X<127)=P(X-μσ<127-μσ)=P(N(0,1)<127-128.77.6102)=P(Z<-1.77.6102)=P(Z<-0.223384)=P(Z<-0.22)= 0.4129 From standard normal Z tableP(X<127)=0.4129 The probability that 127 or fever smartphone owner used smartphone in theater is 0.4129 b) No because the probability of this event is greater than probability cutoff that corresponds to significant event 0.05

Math

Statistics

Based on a smartphone survey, assume that 55% of adults with smartphones use them in theaters. In a separate survey of 234 adults with smartphones, it is foun hat 127 use them in theaters. a. If the 55% rate is correct, find the probability of getting 127 or fewer smartphone owners who use them in theaters. p. Is the result of 127 significantly low? a. If the 55% rate is correct, the probability of getting 127 or fewer smartphone owners who use them in theaters is Round to four decimal places as needed.) b. Is the result of 127 significantly low? than the probability cutoff that corresponds to a significant event, which v 0.5. because the probability of this event is 0.95. 0.05.

Based on a smartphone survey, assume that 55% of adults with smartphones use them in theaters. In a separate survey of 234 adults with smartphones, it is foun hat 127 use them in theaters. a. If the 55% rate is correct, find the probability of getting 127 or fewer smartphone owners who use them in theaters. p. Is the result of 127 significantly low? a. If the 55% rate is correct, the probability of getting 127 or fewer smartphone owners who use them in theaters is Round to four decimal places as needed.) b. Is the result of 127 significantly low? than the probability cutoff that corresponds to a significant event, which v 0.5. because the probability of this event is 0.95. 0.05.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Based on a smartphone survey, assume that 43% of adults with smartphones use them in theaters. In a separate survey of 241 adults with smartphones, it is found that 101 use them in theaters. a. If the 43% rate is correct, find the probability of getting 101 or fewer smartphone owners who use them in theaters. b. Is the result of 101 significantly low?
Based on a smartphone survey, assume that 43% of adults with smartphones use them in theaters. In a separate survey of 258 adults with smartphones, it is found that 110 use them in theaters. a. If the 43% rate is correct, find the probability of getting 110 or fewer smartphone owners who use them in theaters. b. Is the result of 110 significantly low?
Based on a smartphone survey, assume that 57% of adults with smartphones use them in theaters. In a separate survey of 264 adults with smartphones, it is found that 149 use them in theaters. a. If the57% rate is correct, find the probability of getting 149 or fewer smartphone owners who use them in theaters. b. Is the result of 149 significantly low?
Based on a smartphone survey, assume that 57% of adults with smartphones use them in theaters. In a separate survey of 224 adults with smartphones, it is found that 111 use them in theaters. a. If the 57% rate is correct, find the probability of getting 111 or fewer smartphone owners who use them in theaters.
According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers defense will have 3 or more sacks in the game is 0.07. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.34. The is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game is 0.20. What is the probability that the Bucs will score a touchdown on their first drive? Answer in decimal form. Round to two decimal places as needed.
According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers defense will have 3 or more sacks in the game is 0.05. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.25. The is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game is 0.25. What is the probability that the Bucs will score a touchdown on their first drive? Answer in decimal form. Round to two decimal places as needed. Your Answer:
Based on a smartphone survey, assume that 51% of adults with smartphones use them in theaters. In a separate survey of 248 adults with smartphones, it is found that 110 use them in theaters. a. If the 51% rate is correct, find the probability of getting 110 or fewer smartphone owners who use them in theaters. b. Is the result of 110 significantly low? a. If the 51% rate is correct, the probability of getting 110 or fewer smartphone owners who use them in theaters is (Round to four decimal places as needed.) b. Is the result of 110 significantly low? v because the probability of this event is v than the probability cutoff that corresponds to a significant event, which is Question Viewer Enter your answer in the answer box. ? PAGES 1377 NOV W 14 MacBook Air DII 80 888 F10 F6 F7 F8 F3 F4 F5 %24 2 3 4 7 R T. Y く0 E.