1. In a marketing campaign: A soda producer claims that 10% of all the soda bottles they continuously produce, have a winning message under the bottle cap ("winning caps"). Over a given three-month summer, during the soda producer's marketing campaign: You purchase 150 bottles of this soda, and collect the bottle caps in a bag without yet looking at them. To see if you should believe the soda producer's claim about the total proportion of winning caps, you decide to do a two-sided significance test, with an alpha-value of 1%.

You then inspect all 150 of the bottle caps you've collected, and find that 6 of them are winning caps.

In percentage form, and rounded to four digits past the decimal point: What is the approximate P-value of your test?

Include a percentage symbol at the end of your numerical answer (with no spaces).



2.
In a marketing campaign: A soda producer claims that 10% of all the soda bottles they continuously produce, have a winning message under the bottle cap ("winning caps").

Over a given three-month summer, during the soda producer's marketing campaign: You purchase 150 bottles of this soda, and collect the bottle caps in a bag without yet looking at them. To see if you should believe the soda producer's claim about the total proportion of winning caps, you decide to do a two-sided significance test, with an alpha-value of 1%.

You then inspect all 150 of the bottle caps you've collected, and find that 6 of them are winning caps.

Which of the following are correct general statements about the conclusion that you find from your significance test?

(Select all that apply. To be marked correct: All of the correct selections must be made, with no incorrect selections.)

X Based upon the evidence from your significance test, you have no reason to stop believing the null hypothesis claim.

___X The P-value your test, is less than or equal to your chosen alpha-value.

The P-value from your test, is greater than your chosen alpha-value.

___X___ Your sample results are not statistically significant.

___X___ Based upon the evidence from your significance test, you should no longer believe the null hypothesis.

You fail to reject the null hypothesis.

___X Your sample results are statistically significant.

You reject the null hypothesis in favor of the two-sided alternative.

P. S. is number 2 looks right?