how do i find t stat and p value

In the 19905, it was generally believed that genetic abnormalities affected about 8% 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, which could have important implications for health insurance companies. A recent study examined 359 randomly selected children and found that 38 of them showed signs ofa genetic abnormality. (a) Which hypotheses should be used to test if the proportion of genetic abnormalities has increased in recent years? O HO: p = 0.08 vs. Ha: p i 0.08 O HO: p = 0.1058 vs. Ha: p > 0.1058 0 H0: p = 0.08 vs. Ha: p 0.08 O HO: p = 0.1058 vs. Ha: p 27 O HO: p=27vs. Ha: p27 O HO: p = 29.7 vs. Ha: ,u: 29.7 6) H0: \"=27vs. Ha: [1127 q, b Find the test statistic: Use 4 decimals. X (c) What is the P-value? \\:| x (Use 4 decimals.) (d) What should the store owner conclude, for a = 0.05? O Reject the initial claim of 27 years. There is insufficient evidence the mean customer age is different than 27. 0 Do not reject the initial claim of 27 years. There is sufficient evidence the mean customer age is different than 27. Q) Do not reject the initial claim of 27 years. There is insufficient evidence the mean customer age is different than 27. O Reject the initial claim of 27 years. There is sufficient evidence the mean customer age is different than 27. X (e) If mean customer age really is equal to 27 years, but you conclude it is different than 27 years, which type of error did you make, if any? 6) Type II error 0 Type I error Ten years ago, the average amount of time a family spent eating supper together was 27.8 minutes. A sociologist believes this average has decreased. She randomly selects a sample of 12 families and finds the sample average to be 24.307 minutes. The sample data look about bell-shaped. She calculated a test statistic of t = -1.661. (a) What is the p-value ? X (3 decimal places) (b) If she conducts the test at significance level 0.05, what should the conclusion be? Do not reject the null hypothesis. There is evidence to indicate that the average time has decreased at significance level 0.05. Reject the null hypothesis. There is not enough evidence to indicate that the average time has decreased at significance level 0.05. O Do not reject the null hypothesis. There is not enough evidence to indicate that the average time has decreased at significance level 0.05. O Reject the null hypothesis. There is evidence to indicate that the average time has decreased at significance level 0.05. X (c) If she conducts the test at significance level 0.10, what should the conclusion be