Camile is taking a road trip to see nicki minaj in
2 answers:
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Answer:
Part a : Critical value
For this case we want a value of we need to find on the normal standard distribution a z score that accumulates 0.025 of th area on the left and this value is
Part b: Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Part c: Statistical decision
So then the normal approximation makes sense.
Since the calculated value is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level provided and we can conclude that the true proportion is lower than 0.76
Step-by-step explanation:
Data given and notation
n=100 represent the random sample taken
estimated proportion of interest
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.76:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
Part a : Critical value
For this case we want a value of we need to find on the normal standard distribution a z score that accumulates 0.025 of th area on the left and this value is
Part b: Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Part c: Statistical decision
So then the normal approximation makes sense.
Since the calculated value is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level provided and we can conclude that the true proportion is lower than 0.76