The probability of rolling two dice and getting a total of 7 is 1/6. Which of the following describes this event? O Not statistically significant at 0.05 or 0.01 level Statistically significant at 0.01 level OStatistically significant at 0.05 level but not at 0.01 level

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The probability of rolling two dice and getting a total of 7 is 1/6. Which of the following describes this
event?
ONot statistically significant at 0.05 or 0.01 level
Statistically significant at 0.01 level
O Statistically significant at 0.05 level but not at 0.01 level
Transcribed Image Text:The probability of rolling two dice and getting a total of 7 is 1/6. Which of the following describes this event? ONot statistically significant at 0.05 or 0.01 level Statistically significant at 0.01 level O Statistically significant at 0.05 level but not at 0.01 level
In a clinical trial, 27% of participants in the control group reported some of their symptoms of depression
were relieved by taking a ptacebo. If we want to test whether the percentage of participants in the
experimental group who took the new drug reported relief of symptoms at a higher rate than 27%, then a
possible null hypothesis might be:
O The proportion of participants taking the new drug who reported relief of symptoms is 27%
O The proportion of participants taking the new drug who reported relief of symptoms is greater than
27%
O The proportion of participants taking the placebo who reported relief of symptoms is 27%
Transcribed Image Text:In a clinical trial, 27% of participants in the control group reported some of their symptoms of depression were relieved by taking a ptacebo. If we want to test whether the percentage of participants in the experimental group who took the new drug reported relief of symptoms at a higher rate than 27%, then a possible null hypothesis might be: O The proportion of participants taking the new drug who reported relief of symptoms is 27% O The proportion of participants taking the new drug who reported relief of symptoms is greater than 27% O The proportion of participants taking the placebo who reported relief of symptoms is 27%
Expert Solution
Step 1

The probability of rolling two dice and getting a total of 7 is 1/6.

That is, Probability=1/6=0.1667.

Rule:

If the probability value is less than the level, then the event is statistically significant.

Let us consider, the level as 0.05.

Here, the probability value is greater than 0.05.

Hence, the event is not statistically significant.

Let us consider, the level as 0.01.

Here, the probability value is greater than 0.01.

Hence, the event is not statistically significant.

Thus, the correct option is, Not statistically significant at 0.05 or 0.01 level.

 

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