According to Inc.com, 79% of job seekers used social media in their job search in 2018. Many believe this number is inflated by the proportion of 22- to 30-year-old job seekers who use social media in their job search. Suppose a survey of 22- to 30-year-old job seekers showed that 308 of the 370 respondents use social media in their job search. In addition, 283 of the 370 respondents indicated they have electronically submitted a resume to an employer. (a) Conduct a hypothesis test to determine if the results of the survey justify concluding the proportion of 22- to 30-year-old job seekers who use social media in their job search exceeds the proportion of the population that use social media in their job search. Use α = 0.05. State the null and alternative hypothesis. (Enter != for ≠ as needed.) H0: Ha: Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. We cannot conclude that the proportion of 22- to 30-year-old job seekers who use social media in their job searches exceeds the proportion of the population that use social media in their job searches.Do not reject H0. We can conclude that the proportion of 22- to 30-year-old job seekers who use social media in their job searches exceeds the proportion of the population that use social media in their job searches. Reject H0. We can conclude that the proportion of 22- to 30-year-old job seekers who use social media in their job searches exceeds the proportion of the population that use social media in their job searches.Reject H0. We cannot conclude that the proportion of 22- to 30-year-old job seekers who use social media in their job searches exceeds the proportion of the population that use social media in their job searches. (b) Conduct a hypothesis test to determine if the results of the survey justify concluding that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer. Using α = 0.05, what is your conclusion? State the null and alternative hypothesis. (Enter != for ≠ as needed.) H0: Ha: Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. We cannot conclude that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer.Reject H0. We can conclude that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer. Reject H0. We cannot conclude that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer.Do not reject H0. We can conclude that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer.
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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