Someone wins against you in Rock-Paper- Scissors 7 out of 10 times. a) What is the p-value to win 1/3?

b) Would you reject the null hypothesis that p = 1/3, based on 7 out of 10 opponent wins, at a significance level of 5%? c) Would you reject the null hypothesis that p = 1/3, based on 7 out of 10 times, at a significance level of 1%?

A lightbulb manufacturer promises that the failure rate of bulbs after 5 years of use is under 4%. In a test of 80 lightbulbs, 79 passed this test, and 1 failed.

a) What success rate (p-value) is the manufacturer promising for bulbs that last this long? (expressed as a decimal)

b) What is the p-value for the probability of 79 or more successes?

3. Bacteria level in water is "low to very low" with a p-value of 5.2%, what is the best explanation of this statement?

- The bacteria level in the water is 5.2%

- The bacteria level in the water is 'low to very low'

- The probability of bacteria level being 'low to very low' is 5.2%

- The test results show weak evidence that the bacteria level in the water is 'low to very low'