Teacher job satisfaction. An article published in the Educational Review (2020) investigated the relationship between teacher job satisfaction, working conditions at the school, and teacher characteristics in eighth grade mathematics teachers. It used the survey data set from Trends in International Mathematics and Science Study (TIMSS), Sweden, which recorded the responses of 200 teacher participants. The results showed that 142 teachers are satisfied with their teaching workload. Let p represent the true proportion of all teachers who are satisfied with their teaching workload.

a. Compute a point estimate of p.

b. Consider the Swedish National Agency for Education’s claim that more than 70% of teachers are satisfied with their teaching workload. Set up the null and alternative hypotheses for testing whether the true proportion of all teachers who are satisfied with their teaching workload exceeds .70.

c. Compute the test statistic for part

b. d. Find the rejection region for the test if a = .01.

e. Find the p-value for the test.

f. Make the appropriate conclusion using the rejection region. g. Make the appropriate conclusion using the p-value.