The following 2questions are based on this information.

A large cycle company reported that in 2010, 65% of parents of children (between the ages of 8 to 12), bought their children a cycle.

That same company has stated that cycle purchases for that same age group have gone up. They surveyed 300 parents of children and found that 230 of them have bought cycle to their children.

1)Specify the null and alternative hypotheses.

2)The standard error (SE) of p is

The following 5 questions are based on this information.

In 2017, it was reported that women sent on average 3,000texts per month. It is believed that the number of texts sent has increased. In fact, a recent random sample of 60 women showed that they send an average3,500 texts per month(X=3,500texts)with a sample standard deviation of 600 texts (s=600texts). Assume that the random variable, number of texts sent by women(denoted by X), is normally distributed.

Is this sufficient statistical evidence to show that women are now sending on average more than 3000 texts per month? 1)Specify the null and alternative hypotheses.

2)The standard error (SE) of X is

3)The test statistics value is

4)The p-value is

5)At=0.01 and using the p-value

please show step by step, equations . dumbproof it to the best of your ability