"Trydine" bubble gum company claims that 7 out of 10 people prefer their gum to "Eklypse". Test their daim a the 95 confidence level. The null and alternative hypothesis in symbols would be: O Ha:p = 0.7 H:p 4 0.7 o Ha:20.7 H, :<0.7 O Ha:pS 0.7 H:p > 0.7 O Ha:p2 0.7 H:p< 0.7 O Ha:0.7 H, :u 4 0.7 O Ha:u S0.7 H :a > 0.7 The null hypothesis in words would be: OThe average of people that prefer Trydire gum is not 0.7. OThe proportion of all people that prefer Trydint gum is 0.7 OThe average of people that prefer Trydink gumis 0.7. OThe proportion of people in a sample that prefer Trydint gum is not 0.7 OThe proportion of all people that prefer Trydint gum is less than O.7. OThe proportion of all people that prefer Trydint gum is greater than 0.7. O The proportion of people in a sample that prefers Trydine gum is 0.7. Based on a sample of 360 people, 228 said they prefer "Trydin" gum to "Eklypse". The point estimate is: (to 3 decimals) The 95 % canlidence interval is: to | (10 3 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
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