Geoff has been running a restaurant in the city for many years. he knows from experience that the proportion of customers that leave tips at this restaurant is 0.56. geoff has recently opened a restaurant in a suburban area. it seems that tipping habits are different in the suburbs: geoff believes that the proportion of customers that tip at his new restaurant (p) may be different to 0.56. he conducts a hypothesis test to find out. the null and alternative hypotheses are: h0: p = 0.56 ha: p ≠ 0.56 geoff takes a random sample of 113 customers and notes whether or not they leave a tip. in this sample, the proportion of people that leave a tip is 0.60. a)calculate the test statistic (z). give your answer to 2 decimal places. z = 0.857 b)calculate the p-value. give your answer as a decimal to 4 decimal places. p-value = 0.3898

(a) 0.87 (b) 0.3843

Step-by-step explanation:

We have the null and alternative hypotheses and (two-tailed alternative). There is a large sample size of n = 113 customers and a point estimate of p that is with an estimate standard deviation given by . Then, the test statistic z which comes from a standard normal distribution is given by  

(a)

(b) The p-value is given by 2P(Z > 0.87) = 0.3843, this because we are dealing with a two-tailed alternative.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.