0.0930; fail to reject the null hypothesis
Step-by-step explanation:
Sample Statistics
Population Statistics
Claim
The mean weight of women is 145lbs
Counterclaim:
The mean weight of women is not equal to 145lbs
Null hypothesis
Alternative hypothesis
Significance Level
for a 2-tailed test at a 95% confidence level
Test Statistic
Corresponding p-value
The test is 2-tailed because our alternate hypothesis, , already implies that the population mean, , could be either less than or greater than 145lb. Since 0.09286>0.05, we are within the 95% confidence level, so there's insufficient evidence in our sample data to suggest that we reject the null hypothesis. This means that it's 9.3% more likely that the null hypothesis is true than the alternate hypothesis is. Thus, the sample data do not differ significantly from the expected mean of 145lb.