Parameters and hypotheses For each of the followingsituations, define the parameter (proportion or mean) and write the null and alternative hypotheses in terms of param-eter values. Example: We want to know if the proportion of up days in the stock market is 50%. Answer: Let p = theproportion of up days. Ho: p = 0.5 vs. HA: p ≠ 0.5.a) A casino wants to know if their slot machine reallydelivers the 1 in 100 win rate that it claims.b) A pharmaceutical company wonders if their new drughas a cure rate different from the 30% reported by theplacebo.c) A bank wants to know if the percentage of customersusing their website has changed from the 40% thatused it before their system crashed last week.

Q: (c) Compute the test value. Re

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.