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 306 of the 370 respondents use social media in their job search. In addition, 277 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: p≤0.79 Ha: p>0.79 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.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. 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 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: p≤0.70 Ha: p>0.70 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 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 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 cannot conclude that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
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