# P-Hat

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,

#### Solution Preview

*Refer to "sheet 2" of the attached table

<br>2) From the adjusted table of 183 consecutive days, we can use the special "if" function of Excel to count.

<br>The number of Rain days is 65

<br>The number of days on which it rained given that it rained the previous day is 28.

<br>Then p-hat(R) = 28/65= 0.4308

<br>

<br>3) From the adjusted table, we can count the number of days when it did not rain is 118

<br>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