Babies and younger boys are more likely to be diagnosed with peanut allergies. To test this claim a group of researchers tested the allergies among a group of boys and girls aged below 18 years.   A total of 540 kids were selected randomly and asked to eat a small amount of peanut.  Group n x Boys 280 120 Girls 260 90 Do boys have a higher chance to be diagnosed with a peanut allergy? Calculate the test statistic.  Calculate p-value.

Zachary works as a quality control engineer at Ford Motor Company. One of his job responsibilities is estimating the proportion of defective engines coming off a production line. The production line setting allows for a defective rate of 5%.     In a periodical quality checkup, Zachary selected 100 engines that came off the production line. What is the chance Zachary will find more than 10 defective engines? The corresponding Z score is _____

According to a report on consumer fraud and identity theft, 24% of all complaints for a year were for identity theft. In that year, Connecticut had 861 complaints of identity theft out of 3484 consumer complaints. Does this data provide enough evidence to show that Connecticut had a higher proportion of identity theft than 24% ? Test at the 10% level. State the hypotheses. Ho: P? O Ha: P ? Calculate the test statistic. Round to four decimal places. p = Calculate the standardized test statistic. Round to three decimal places. z = Find the p-value. Round to four decimal places. p-value = State your decision. O Since the p-value is greater than .10, reject Ho. O Since the p-value is less than .10, fail to reject Ho- O Since the p-value is greater than .10, fail to reject Ho. O Since the p-value is less than .10, reject Ho. Interpret the results. O At the 10% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Connecticut is…

find tc for a 95% confidence level when the sample size is 6.

A manufacturer claims that 10% of women using the "pill" suffer from side effects. The Federal Drug Administration (FDA) believes that the manufacturer's claim is too low and decides to test the manufacturer's claim at a 5 %. A random sample of 900 women who use the manufacturer's pill shows that 103 suffer side effects. The p-value of this test is: O a. 0.1144 Ob. 0.0644 O C. 0.1000 Od. 0.0743 e. 0.0144

How much customers buy is a direct result of how much time they spend in the store. A study of average shopping times in a large national houseware store gave the following information (Source: Why We Buy: The Science of Shopping by P. Underhill). Women with female companion: 8.3 min.Women with male companion: 4.5 min. Suppose you want to set up a statistical test to challenge the claim that a woman with a female friend spends an average of 8.3 minutes shopping in such a store. (a) What would you use for the null and alternate hypotheses if you believe the average shopping time is less than 8.3 minutes? Ho: ? = 8.3; H1: ? ≠ 8.3Ho: ? < 8.3; H1: ? = 8.3    Ho: ? = 8.3; H1: ? < 8.3Ho: ? = 8.3; H1: ? > 8.3 Is this a right-tailed, left-tailed, or two-tailed test? right-tailedtwo-tailed    left-tailed (b) What would you use for the null and alternate hypotheses if you believe the average shopping time is different from 8.3 minutes? Ho: ? = 8.3; H1: ? > 8.3Ho: ? ≠ 8.3; H1: ? = 8.3…

Find the confidence level and α for an 80​% confidence interval.

A dietitian wishes to see if a person's cholesterol level will change if the diet is supplemented by a certain mineral. Seven subjects were pretested and then took the mineral supplement for a six-week period. The results are shown below in the table. Use a paired samples t-chart at a = 0.01 significance level to see difference (Before - After) between the cholesterol levels. State the hypotheses and conclusion. Also, conduct a 99% confidence interval. Subject 1 Before 210 After 190 2 205 170 3 208 210 4 192 188 5 178 173 6 244 228 7 211 198

The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages.

A clinical trial is conducted to compare a new pain re- liever for arthritis to a placebo. Participants are randomly assigned to receive the new medication or a placebo, and the outcome is pain relief within 30 minutes. The data are shown in Table 7–8. Is there a significant difference in the proportions of patients reporting pain relief? Run the test at a 5% level of significance.   Pain Relief No Pain Relief New Medication 44 76 Placebo 21 99   How would I use excel with this?