Many high school students take the AP tests in different subject areas. In one year, of the 210,422 students who took the calculus AB exam 104,977 of them were female and 105,445 of them were male. Estimate using a 95% level the difference in proportion of female students taking the calculus AB exam versus male students taking the calculus AB exam. Round to four decimal places. With 95 O % confidence, it can be concluded that the difference in proportion of female students taking the calculus AB exam versus male students taking the calculus AB exam (P₁-P₂) is between and

A survey found that in a sample of 100 families, 37 owned cats. A survey done 5 years ago found that in a sample of 80 families, 34 owned cats. At ? = 0.05 has the proportion of cat owners changed over the 5-year period?

In 1995, it was determined that 78% of US citizens supported a ban on household aerosols.  Thinking that this proportion may have changed over the past few decades, a sample will be taken to test if a change has occurred. In a SRS of 400 citizens taken this year, 332 supported the ban.  Determine the value of the appropriate test statistic to perform this test. Round to 3 decimal places.

On average, a sample of n = 36 scores will provide a better estimate of the population mean than a sample of n = 49 scores from the same population.

A student pursuing a degree in English as a second language believes the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English. To test her claim she randomly selects 373 female factory workers and out of them 43 could not speak English. She then randomly selects 215 male factory workers and out of them 65 could not speak English. Test her claim at .=0.05 to see if she was right. The correct hypotheses are: H : PF Pu (claim) H : PF 2 PM HA: PF < Pr (claim) H : PF = PM HA: PF + PM (claim) Since the level of signficance s0.05 the critical value is-1.64s The test statistic is pound to 3 places) The pvalue is round to 3 places) The decision can be made to oreject H, odo not reject í, The final conclusion is that: There is enough evidence to reject the claim that the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English. There is…