Previously, 3% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 3% today. She randomly selects 160 pregnant mothers and finds that 3 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the alpha equals 0.1 level of significance. a. Identify the correct null and alternative hypotheses.
A. H0: p 0.05
B. H1: p 0.05
b. Find the P-value. P-value =
Is there sufficient evidence to support the obstetrician's statement?
a) Yes, because the P-value is greater than α there is sufficient evidence to conclude that the percentage of mothers who smoke 21 or more cigarettes during pregnancy is less than 5%, meaning we do not reject the null hypothesis.
b) No, because the P-value is less than α there is not sufficient evidence to conclude that the percentage of mothers who smoke 21 or more cigarettes during pregnancy is less than 5%, meaning we reject the null hypothesis.
c) Yes, because the P-value is less than α there is sufficient evidence to conclude that the percentage of mothers who smoke 21 or more cigarettes during pregnancy is less than 5%, meaning we reject the null hypothesis.
d) No, because the P-value is greater than α there is not sufficient evidence to conclude that the percentage of mothers who smoke 21 or more cigarettes during pregnancy is less than 5%, meaning we do not reject the null hypothesis.