A medical trial is conducted to test whether or not a certain drug can treat a certain allergy. Upon trial, the t-value is computed as 1.311. Sketch and complete the table below to discuss the findings of the medical trial. -4.5 4 H₂: The computed Decision: t-value is at the Hai region. Justify your decision by writing an explanation in 5-10 sentences.
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- A law enforcement organization claims that their radargun is accurate to within 0.5 miles per hour for a courthearing. An independent organization hired to test theaccuracy of the radar gun conducted 12 tests on a projectilemoving at 60 miles per hour. Given the data inthe following table, determine if the radar gun can beused in court. State the hypothesis and base your commentson an appropriate α level.A series of tests of fire prevention sprinkler systems that use a foaming agent to quell the fire were performed to determine how long it took (in seconds) for the sprinklers to be activated after the detection of a fire by the system. The system has been designed so that the true average activation time is supposed to be at most 25 seconds. Do the data strongly indicate that the design specifications have not been met? The data for the test are given below: 27 41 22 27 23 35 30 33 24 27 28 22 24A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
- Einar Óli measured the area of scallops in two places in Breiðafjörður and used a t-test to find out if there was a difference in the area of scallops in these two places. Type II error occurred when Einar Óli performed his hypothesis test. What happened?A medical researcher says that less than 86% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 83% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic z. (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.Dr. Castillejo feels that the maximum pulse rate during the run is a good predictor in explaining the oxygen consumption in the blood stream. He asserts that if the pulse rate at the end of the run increased, then the oxygen consumption will also increase, hence his/her heart is functioning well. Based on the R commanderoutput below, check if the data on oxygen consumption and maximum pulse rate (from 152 bpm to 196bpm) support Dr. Castillejo’s assertion.
- To test the claim that the resistance of electric wire can be reduced by more than 0.050 ohm by alloying, 25 values obtained for alloyed wire yielded an average of 0.083 ohm with s = 0.003 ohm, and 25 values obtained for standard wire yielded an average of 0.086 ohm with s = 0.002 ohm. Use 5% level f significance to determine whether the claim has been substantiated. What is the computed value and decision?A survey among the workers in a large manufacturing company was taken, in order to findout from which company the workers had purchased their mobile phones, and to find outwhether the choice of mobile phone company was related to the type of worker. The resultsare shown in the table below. ls there evidence, at 5% level, that the choice of Phone Company is independent of the type ofworker?If my p-value is 0.062 should I reject it and support my claim?
- Civil engineers collect data from an area in Canada on the amount of tons of salt used to keep highways in good condition during a snow storm.The amount of salt for n = 30 has(# 1 at image) What can be said with 95% confidence about the maximum error if (# 2 at image) is used as a point estimator of the true population mean of the amount of salt required for a snow storm?An ecologist hypothesizes that birds with longer wing spans use wider tree branches. The ecologist captured male birds, measured their wing span and other characteristics in millimeters, and then marked and released them. During the ensuing winter, the ecologist repeatedly observed the marked birds as they foraged for food on tree branches. He noted the branch diameter on each occasion, and calculated the average branch diameter for each bird in centimeters. The measurement data are below. What can the ecologist conclude with an α of 0.05 wing span branch diameter 79.380.180.781.579.580.781.180.580.7 1.561.531.391.041.391.021.211.311.21 A) What is the appropriate statistic? Then Compute the statistic B) Compute the appropriate test statistic(s) for H1: ρ > 0 critical value = test statistic= C) Effect SizeThe approximate Z-score that corresponds to a right tail area of 0.42 is