3. A random sample of 500 children at one daycare facility indicated that 385 were in favor of increasing the number of cookies they received at snack time, and another sample of 400 children at another daycare facility indicated that 267 were in favor of the increase in cookies. a) Do these data indicate that there is a difference in the support for increasing cookie intake for the children of the two schools? Use α-0.05. What is the P-value for this test? b)

It the​ 1980s, it was generally believed that congenital abnormalities affected about 6​% of a large​ nation's children. Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities. A recent study examined 414 randomly selected children and found that 28of them showed signs of an abnormality. Is this strong evidence that the risk has​ increased? (Consider a​ P-value of around0.05to represent reasonable​ evidence.) What is the test​ statistic? What is the​ P-value?

A simple random sample of 300 men included 71 who smoke, and a simple random sample of 310 women included 68 who smoke. Use a .05 level of significance to test the claim that the proportion of men who smoke is greater than the proportion of women who smoke.

A psychology graduate student wants to test the claim that there is a significant difference between the IQs of spouses. To test this claim, she measures the IQs of 9 married couples using a standard IQ test. The results of the IQ tests are listed in the following table. Using a 0.10 level of significance, test the claim that there is a significant difference between the IQs assuming that the population distribution of the paired differences is approximately normal. Let the spouse 1 group be Population 1 and let the spouse 2 group be Population 2. Spouse 1 Spouse 2 IQs of Married Couples 124 113 97 123 121 101 128 116 96 126 119 100 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places. 124 111 127 113 107 111