Estimating Parameters
The best estimate for the population mean
What is sample mean?
Of 94 adults selected randomly from one town, 62 have health insurance. A 90% confidence interval for the proportion of all adults in the town who have health insurance with have this as the point estimate.
In a survey of 100 people, 56 said they like pepperoni on their pizza. This is the point estimate for a 95% confidence interval for the population proportion.
What is 0.56?
A poll of 1000 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the governor's race. At the 0.05 level of significance, the null and alternative hypothesis for the data to provide sufficient evidence to conclude that the proportion of voters who prefer the Democrat is less than 50% is this.
What is
H0: p = 0.50
HA: p < 0.50
H0 is the abbreviation for this
What is Null Hypothesis?
The best estimate for the population proportion
What is the sample proportion?
Of 94 adults selected randomly from one town, 62 have health insurance. A 90% confidence interval for the proportion of all adults in the town who have health insurance will have this as the critical value.
What is 1.645?
The critical value for this level of confidence is 1.96 when constructing a confidence interval for the population proportion
What is 95%?
A poll of 1000 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the governor's race. At the 0.05 level of significance, the test statistic for the data to provide sufficient evidence to conclude that the proportion of voters who prefer the Democrat is less than 50% is this.
What is z = -1.26?
When the alternative claim this, we call it a one-sided test.
What is > or < ?
The point estimate of students who have jobs when 200 are surveyed and 140 answer yes to having a job
What is p = 0.70?
Of 94 adults selected randomly from one town, 62 have health insurance. A 90% confidence interval for the proportion of all adults in the town who have health insurance will have this as the standard error.
The level of confidence for this critical value is 99% when constructing a confidence interval for the population proportion
What is 2.576?
A poll of 1000 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the governor's race. At the 0.05 level of significance, the p-value for the data to provide sufficient evidence to conclude that the proportion of voters who prefer the Democrat is less than 50% is this.
What is p-value = 0.1038?
The confidence interval does this as the confidence level gets higher
What is the confidence interval gets wider?
These are the values needed to find the standard error of the population proportion
What is n and "p hat"?
Of 94 adults selected randomly from one town, 62 have health insurance. A 90% confidence interval for the proportion of all adults in the town who have health insurance is this.
What is (0.579, 0.740)?
This is the interpretation of a confidence interval of (0.154, 0.354) with a 99% level of confidence about adults in a town that smoke.
What is we are 99% confident that the true proportion of all adults in a town that smoke falls between 0.154 and 0.354?
A poll of 1000 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the governor's race. At the 0.05 level of significance, the comparison and result of the p-value to the level of significance for the data to provide sufficient evidence to conclude that the proportion of voters who prefer the Democrat is less than 50% is this.
What is 0.1038 > 0.05 so we do not reject the null hypothesis?
This is the relationship between the p-value and alpha when we reject H0
What is the p-value is less than the significance level, alpha?
The standard error will reduce by a factor of 2 when we do this to the sample size
What is quadruple the sample size?
Of 94 adults selected randomly from one town, 62 have health insurance. A 90% confidence interval for the proportion of all adults in the town who have health insurance is interpreted as this.
What is we are 90% confident that the true proportion of all adults in the town who have health insurance falls between 0.579 and 0.740?
In a survey of 25 people, 10 said they don't like to listen to music while studying. This is a 95% confidence interval for the population proportion.
What is (0.208, 0.592)?
A poll of 1000 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the governor's race. At the 0.05 level of significance, the conclusion in context for the data to provide sufficient evidence to conclude that the proportion of voters who prefer the Democrat is less than 50% is this.
What is the data do not provide significant evidence to conclude the proportion of voters who prefer the Democrat is less than 50%?
The confidence interval does this as the confidence level gets higher
What is the confidence interval gets wider?