There are 63 students in a speech contest.Yesterday 1/3 gave a speech and today 2/3 of the remaining students gave their speech.
1 answer:
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Answer:
(1)
The p value is a very high value and using the significance level we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the percent of men who enjoy shopping for electronic equipment is NOT significantly higher than the percent of women who enjoy shopping for electronic equipment.
Step-by-step explanation:
1) Data given and notation
represent the number of men that said they enjoyed the activity of Saturday afternoon shopping
represent the number of women that said they enjoyed the activity of Saturday afternoon shopping
sample of male selected
sample of demale selected
represent the proportion of men that said they enjoyed the activity of Saturday afternoon shopping
represent the proportion of women with red/green color blindness
z would represent the statistic (variable of interest)
represent the value for the test (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to check if the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We need to apply a z test to compare proportions, and the statistic is given by:
(1)
Where
3) Calculate the statistic
Replacing in formula (1) the values obtained we got this:
4) Statistical decision
Using the significance level provided , the next step would be calculate the p value for this test.
Since is a one side right tail test the p value would be:
So the p value is a very high value and using the significance level we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the percent of men who enjoy shopping for electronic equipment is NOT significantly higher than the percent of women who enjoy shopping for electronic equipment.