For each of the given situations, write out the null and, being sure to state wh
ID: 3233365 • Letter: F
Question
For each of the given situations, write out the null and, being sure to state whether it is one sided or two-sided. Complete parts a through a) A company reports that last year 55% of its reports in accounting were on time. From a random sample this year they want to know if that proportion has decreased. Complete the null and alternative hypotheses and determine whether the alternative hypothesis is one-sided or two-sided H_0: 0.55 vs H_A: 0.55 The alternative hypothesis is Last year 36 % of the employees in at least one wellness class at the company's site Using a survey, they want to know if a different percentage is planning to take a wellness class this year. Complete the null and alternative hypotheses and determine whether the alternative hypothesis is one-sided or two-sided H_0: 0.36 vs H_A: 0.36 The alternative hypothesis is c) A political candidate wants to know from recent polls if she's going to gamer at least a majority of votes in next week's election Complete the null and alternative hypotheses and determine whether the alternative hypothesis is one-sided or two-sided. H_0: 0.5 vs H_A: 0.5 The alternative hypothesis isExplanation / Answer
(a) Here p0 = 55% = 0.55
Null HYpothesis : H0 : p = p0
Alternative Hypothesis : Ha : p < p0
The alternative hypothesis is one directional as word " decrease" is used.
NOTE: Here trick is the wordings of the question are important to determine direction of hypothesis. If question ask just only about difference in nothing else, it is two directional but if it uses words like decrease, increase or impact, it will be a directional test.
(b)
Here p0 = 36% = 0.36
Null HYpothesis : H0 : p = p0
Alternative Hypothesis : Ha : p p0
The alternative hypothesis is two directional as because word "only difference " is used.
(c)
Here p0 = 50% = 0.50
Null HYpothesis : H0 : p <= p0
Alternative Hypothesis : Ha : p > p0
The alternative hypothesis is one directional as word " more than " is used.
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