8.5 practice - hypothesis testing proportions

Front

What distribution is used for hypothesis testing about population proportions?

Back

z distribution.

Front

What is the null hypothesis (H0) when testing if the proportion of female physicians is greater than 27%?

Back

H0: p = 0.27

Front

What is the alternative hypothesis (Ha) when testing if the proportion of female physicians is greater than 27%?

Back

Ha: p > 0.27

Front

What is the formula for calculating the z-score in hypothesis testing for proportions?

Back

z = (p̂ - p0) / sqrt[(p0(1 - p0)) / n] where p̂ is the sample proportion, p0 is the population proportion, and n is the sample size.

Front

If 45 out of 120 physicians are women, what is the sample proportion (p̂)?

Back

p̂ = 45/120 = 0.375.

Front

What is the significance level (α) used in the provided examples?

Back

α = 0.01.

Front

What is the p-value in hypothesis testing?

Back

The p-value is the probability of obtaining a test statistic at least as extreme as the one observed, assuming the null hypothesis is true.

Front

What does it mean to reject the null hypothesis?

Back

Rejecting the null hypothesis means there is sufficient evidence to support the alternative hypothesis.

Front

What is the conclusion if the p-value is less than the significance level (α)?

Back

If the p-value is less than α, we reject the null hypothesis.

Front

In the context of the home ownership study, what is the null hypothesis (H0)?

Back

H0: p = 0.68.