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# P-Hat

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Steps:

2)
Find p-hat(R), the proportion of days on which it rained given that it rained the pervious day.

3)
Find p-hat (NR) the proportion of days on which it rained given that it did not rain the previous day.

4)
Construct confidence intervals for both p-hat(R) and P-Hat(NR) (you can chose level of confidence)
Draw a conclusion as to whether rain on consecutive days is an independent phenomenon.

5)
State your conclusion by saying there is(or is not) enough of a discrepancies to support the claim that rain on consecutive days is a dependent phenomenon

I am attaching #1 which, hopefully, makes it easy for you to provide me assistance.

thanks,

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https://brainmass.com/statistics/probability/hat-proportion-rainy-days-3487

#### Solution Preview

*Refer to "sheet 2" of the attached table
2) From the adjusted table of 183 consecutive days, we can use the special "if" function of Excel to count.
The number of Rain days is 65
The number of days on which it rained given that it rained the previous day is 28.
Then p-hat(R) = 28/65= 0.4308

3) From the adjusted table, we can count the number of days when it did not rain is 118
The number of days on which it rained given that it did not rain ...

#### Solution Summary

The solution addresses - Steps:

2)
Find p-hat(R), the proportion of days on which it rained given that it rained the previous day.

3)
Find p-hat (NR) the proportion of days on which it rained given that it did not rain the previous day.

4)
Construct confidence intervals for both p-hat(R) and P-Hat(NR) (you can chose level of confidence)
Draw a conclusion as to whether rain on consecutive days is an independent phenomenon.

5)
State your conclusion by saying there is(or is not) enough of a discrepancies to support the claim that rain on consecutive days is a dependent phenomenon

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