Test the null hypothesis H0:p=0.5against the alternative hypothesis HA:p<0.5, when 89 individuals in a random sample of 218 have a characteristic of interest.
Proportions are very sensitive to round-off error. Please ensure that you attempt to round p^as little as possible.
a) Calculate the value of the z test statistic, for testing the null hypothesis that the population proportion is 0.5.
Round your response to at least 3 decimal places.
b) The p-value falls within which one of the following ranges:
p-value > 0.50 | ||
0.10 < p-value < 0.50 | ||
0.05 < p-value < 0.10 | ||
p-value < 0.05 |
c) What conclusion can be made, at the 5% level of significance?
There is insufficient evidence to reject the null hypothesis, and therefore no significant evidence that the population proportion is not 0.5. | ||
There is sufficient evidence to reject the null hypothesis, in favour of the alternative that the population proportion is less than 0.5. |
Get Answers For Free
Most questions answered within 1 hours.