Assume that the climate conditions on Earth are such that years hotter than the historical average are just as likely as years colder than the historical average. What would be the null hypothesis? In other words, what do we assume to be true in order to make a sampling distribution?   If in recent years it has shown that the proportion of years hotter has been 56% percent, what would be the alternative hypothesis?   Assume that the null hypothesis is true. Use a sampling distribution of size 50 to find the probability that 30 or more years out of the 50 years in the sample will have temperatures higher than the historical average due to sampling variation.       As it turns out, the true number of years from 1964-2013 that were hotter than the historical average is 47. If we assume the null hypothesis, what is the probability that his value of or larger occurs due to sampling variation?

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  • Assume that the climate conditions on Earth are such that years hotter than the historical average are just as likely as years colder than the historical average.
  1. What would be the null hypothesis? In other words, what do we assume to be true in order to make a sampling distribution?

 

  1. If in recent years it has shown that the proportion of years hotter has been 56% percent, what would be the alternative hypothesis?

 

  1. Assume that the null hypothesis is true. Use a sampling distribution of size 50 to find the probability that 30 or more years out of the 50 years in the sample will have temperatures higher than the historical average due to sampling variation.

 

 

 

  1. As it turns out, the true number of years from 1964-2013 that were hotter than the historical average is 47. If we assume the null hypothesis, what is the probability that his value of or larger occurs due to sampling variation?

 

 

  1. What do you conclude from the data?
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