Using a computer, Linda simulates the responses of a sample of 120 people, assuming that theinformation in Table 2 is correct. She gets the results shown in the table below.TABLE 3ResponseWould CallWould Text24 or under1232Age25 or over3640(d) A chi-square test for independence is conducted using the results in Table 3.i. Calculate the p-value for this hypothesis test.ii. A 5% significance level will be used. Will the null hypothesis be rejected? Explainbriefly.Linda now uses the computer to simulate 20 samples of 120 people each, assuming that theinformation in Table 2 is correct. She has the computer determine, for each sample, whetherthe null hypothesis would be rejected or not rejected. Her results are shown below.Sample Result of Hypothesis TestReject HDo not reject H,Reject HoReject HoDo not reject H,Do not reject Ho13456.Reject HoReject HoReject HReject HoDo not reject HoReject HDo not reject HọDo not reject HoReject HDo not reject HDo not reject HọReject HReject H,Reject H81011121314151617181920(e) According to the results of these 20 simulated samples, what should be Linda's estimateof the probability that Ho will be rejected? In light of this probability, should Lindaredesign the study? Explain your answer. 6. A communications company is conducting research concerning cellphone use. Aquestionnaire will be created in which, along with answering other questions, participants willstate their age and will answer the following question:"A friend is going to drive you to a social event. You need to contact the friend to arrange atime and a place to meet. Would you call your friend or would you send a text?"Linda, an employee of the company, is asked to conduct an initial survey using 120participants. ASsume that the participants will be selected at random. The results of thesurvey will be written in a table such as the one shown below. (Each star will be replaced bythe number of people in that category.)TABLE 1ResponseWould CallWould Text24 or underAge25 or overA chi-square test for independence will then be performed.(a) Write the null and alternative hypotheses for this significance test.population of cellphone users for theIt is suggested to Linda that the true proportions offour categories are as shown in the table below.TABLE 2ResponseWould TextWould Call24 or under0.090.27Age25 or over0.32.032(b) Assume that the information in Table 2 is correct and that a cellphone user will beselected at random. Are the events "24 or under" and "would call" independent?Explain your answer.Linda will estimate the probability that her survey will result in the nuil hypothesis beingrejected, given that the information in Table 2 is correct.(c) Explain the relevance of this probability.

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Using a computer, Linda simulates the responses of a sample of 120 people, assuming that theinformation in Table 2 is correct. She gets the results shown in the table below.TABLE 3ResponseWould CallWould Text24 or under1232Age25 or over3640(d) A chi-square test for independence is conducted using the results in Table 3.i. Calculate the p-value for this hypothesis test.ii. A 5% significance level will be used. Will the null hypothesis be rejected? Explainbriefly.Linda now uses the computer to simulate 20 samples of 120 people each, assuming that theinformation in Table 2 is correct. She has the computer determine, for each sample, whetherthe null hypothesis would be rejected or not rejected. Her results are shown below.Sample Result of Hypothesis TestReject HDo not reject H,Reject HoReject HoDo not reject H,Do not reject Ho13456.Reject HoReject HoReject HReject HoDo not reject HoReject HDo not reject HọDo not reject HoReject HDo not reject HDo not reject HọReject HReject H,Reject H81011121314151617181920(e) According to the results of these 20 simulated samples, what should be Linda's estimateof the probability that Ho will be rejected? In light of this probability, should Lindaredesign the study? Explain your answer. 6. A communications company is conducting research concerning cellphone use. Aquestionnaire will be created in which, along with answering other questions, participants willstate their age and will answer the following question:&#34;A friend is going to drive you to a social event. You need to contact the friend to arrange atime and a place to meet. Would you call your friend or would you send a text?&#34;Linda, an employee of the company, is asked to conduct an initial survey using 120participants. ASsume that the participants will be selected at random. The results of thesurvey will be written in a table such as the one shown below. (Each star will be replaced bythe number of people in that category.)TABLE 1ResponseWould CallWould Text24 or underAge25 or overA chi-square test for independence will then be performed.(a) Write the null and alternative hypotheses for this significance test.population of cellphone users for theIt is suggested to Linda that the true proportions offour categories are as shown in the table below.TABLE 2ResponseWould TextWould Call24 or under0.090.27Age25 or over0.32.032(b) Assume that the information in Table 2 is correct and that a cellphone user will beselected at random. Are the events &#34;24 or under&#34; and &#34;would call&#34; independent?Explain your answer.Linda will estimate the probability that her survey will result in the nuil hypothesis beingrejected, given that the information in Table 2 is correct.(c) Explain the relevance of this probability.

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