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

Over a given three month summer, during the soda producers 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 producers 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 bottles 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?

1. Your sample results are statistically significant.

2. Your sample results are not statistically significant.

3. You fail to reject the null hypothesis.

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

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

6. Based upon the evidence form your significance test, you should no longer believe the null hypothesis claim.

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

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

*P value is 1.4306%

Over a given three month summer, during the soda producers 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 producers 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 bottles 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?

1. Your sample results are statistically significant.

2. Your sample results are not statistically significant.

3. You fail to reject the null hypothesis.

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

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

6. Based upon the evidence form your significance test, you should no longer believe the null hypothesis claim.

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

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

*P value is 1.4306%

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